[General] Photon

Nick Green nick_green at blueyonder.co.uk
Thu Jun 11 10:33:35 PDT 2015


One might say the photon path bends in the electric field of the pivot 
and, if energy sufficient, may close to form coherent matter and 
anti-matter. So how many spins or sine waves are needed to model this 
and what are their frequencies and phase relationhips?

Best

N.

On 10/06/2015 09:20, John Williamson wrote:
> Hello David and everyone.
>
> You are right that most of the models do not cite a mechanism for 
> changing the nature of the photon to that of the electron. This is a 
> huge problem. Photon go (fast!) in straight lines. Electrons just sit 
> there going round and round in circles. They are very different!
>
> It is worrying about this and trying to find solutions to it, that 
> have kept Martin and myself busy for the last couple of decades. We 
> have made loads of models, and have introduced forces in several 
> different ways.
>
> My new theory is one case that does have (self) confinement forces. 
> The new scalar invariant mass density term, the pivot, introduces a 
> new factor into the momentum density flow (the Poynting vector for 
> pure field). The derivative of this is a radial force - a confinement 
> force in other words. An element of the Poincare stresses then. In 
> fact the force is such that one gets precisely a radial electric field 
> for a re-circulating field and a double-loop (with half-integral 
> spin). Absolutely beautiful!
>
> The picture is as follows. No pivot - momentum in straight lines - 
> pure field photons.
>
> Bit of pivot, photon moves (a little) helically . no big deal.
>
> Lots of pivot ... same thing.
>
> Enough pivot plus initial counter-propagating photons. Possibility of 
> vortex and anti-vortex. Charge-anticharge pair both with pivot of same 
> order as magnetic field. Stable, charged, half-integral spin, 
> recirculating self-confined system. An electron and a positron.
>
> Look carefully at the paper I circulated. It is in there. Not very 
> well explained, obviously. I will do better next time with all this input!
>
> Cheers, John.
> ------------------------------------------------------------------------
> *From:* General 
> [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org] 
> on behalf of David Mathes [davidmathes8 at yahoo.com]
> *Sent:* Wednesday, June 10, 2015 7:55 AM
> *To:* Nature of Light and Particles - General Discussion
> *Subject:* Re: [General] Photon
>
> John
>
> I like the simplicity of the photon in the electron circulating at c. 
> However, no mechanism is cited for getting from photon to electron. 
> The evidence is in the stars. Photons appear to travel a very long way 
> without turning into electrons. Is this just spontaneous photon 
> conversion to electron, a whim of nature?
>
> The difficulty with a c-only velocity in the electron is that it would 
> seem that c-average velocity would meet the criteria as well. Now this 
> implies there is may be a Lorentz contraction, and also the 
> improbability - not impossibility -  of a transluminal photon/quanta 
> within. Once we have eliminated everything else, whatever remains no 
> matter how improbable, must be a truth, perhaps even the truth.
>
> The self-interaction aspect smells of acceleration somewhere in all 
> this. And in a circulating photon one of the few requirements is to 
> explain conservation of total angular momentum which seems to be the 
> key criteria especially with a instant c-velocity only model. Could it 
> be there is a missed interpretation of averaged c-velocity only model 
> as a instant c-velocity model. Perhaps we need to define the total 
> angular momentum within the electron more clearly and precisely.
>
> IMHO we need to consider and examine every electron model to see if 
> there is any acceleration by the photon.
>
> Seriously, how does on make the leap from a plain photon to the photon 
> curving and interacting with itself. Is there some DNA that tells a 
> photon internally to become an electron? Is there something external 
> acting as a catalyst? Is there a process which combines both in a two 
> step process?
>
> Then there is the question of superposition for uncharge photons while 
> charged photons as electrons can overlap under the right conditions 
> and in multiple ways. Of course this begs the question of when does 
> superposition fail.
>
> David
>
>
>
>
>     ------------------------------------------------------------------------
>     *From:* John Duffield <johnduffield at btconnect.com>
>     *To:* 'Nature of Light and Particles - General Discussion'
>     <general at lists.natureoflightandparticles.org>
>     *Sent:* Tuesday, June 9, 2015 11:20 PM
>     *Subject:* Re: [General] Photon
>
>     *Richard:*
>     **
>     *The 511keV photon confines itself. There isn’t anything else
>     there. It’s like a photon in a box of its own making, see Martin’s
>     light is heavy <http://www.tardyon.de/mirror/hooft/hooft.htm>.
>     Light /is/ displacement current, and it displaces its own path
>     into a closed path. But then we don’t call it a photon, we call it
>     an electron. However we can still diffract it. It still has a wave
>     nature. But it isn’t moving linearly at c, it’s going round and
>     round at c. Photon momentum is a measure of resistance to
>     change-in-motion for a wave moving linearly at c. Electron mass is
>     a measure of resistance to change-in-motion for a wave going round
>     and round at c. That’s it. It’s that simple. Hence /the mass of a
>     body is a measure of its energy-content/. That’s what E=mc ²
>     <http://www.fourmilab.ch/etexts/einstein/E_mc2/www/> is all about,
>     Einstein even talks about the electron on the same line as he
>     talks about a body. And I’m afraid the Higgs mechanism contradicts
>     it.  When it’s an electron, the511keV photon has mass because it’s
>     interacting with itself, not with cosmic treacle. *
>     **
>     *Regards*
>     *John D*
>     **
>
>
>     *From:*General
>     [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>     Behalf Of *Richard Gauthier
>     *Sent:* 10 June 2015 02:39
>     *To:* Nature of Light and Particles - General Discussion
>     *Subject:* Re: [General] Photon
>     Hi John,
>     I think it may be a mistake to call an object a “confined photon”
>     if you mean that a photon is “unconfined” and moving linearly with
>     no rest mass until it becomes “confined” and then the system of
>     “confinement” +  photon has a rest mass and this rest mass is
>     attributed purely to the “confinement mechanism” and not to the to
>     the “otherwise free” photon still moving at c while it is being
>     confined.
>     Rather, the rest mass of an object, whether a circularly moving
>     photon, a helically moving photon or a linearly moving photon is
>     the real quantitative measure of its “confinement", so that
>     “confinement” and “inertia” mean the same thing— both refer to the
>     rest mass of the object.  Someone could claim that a photon moving
>     in a straight line is also “confined” to move in this straight
>     line, but this linear confinement carries no rest mass with it and
>     so you would say that this photon is not confined at all. Someone
>     could also claim that a photon moving by itself in a helical
>     trajectory is no more confined than a photon moving in a straight
>     line — but their rest masses are different and you would I think
>     say that the helically moving photon is more confined that the
>     photon moving in a straight line. Anyone can argue about what one
>     mean by confinement and how one should measure it.
>     A particular photon moving in a helical trajectory at any
>     longitudinal speed less than c (such as the proposed charged
>     photon model of the electron moving at different relativistic
>     velocities) has a rest mass and this rest mass is exactly the same
>     rest mass as when the  photon (as seen from a different moving
>     reference frame) moves in a double-looped circle and you call it
>     an electron. So does the confinement of an object change when you
>     pass by it at different speeds? That doesn’t seem logical. And the
>     rest mass of the helically moving photon is the same rest mass mo
>     as the rest mass of the corresponding circularly moving photon,
>     because the rest mass of this confined photon is relativistically
>     invariant as you say. You might say that there is a “confining”
>     force in the physical world. But someone might say that this is
>     just the Higgs field that gives rest mass to otherwise massless
>     objects. So again, what is the difference between the rest mass
>     and the degree of confinement of a particle, if any?
>     best regards, Richard
>
>         On May 31, 2015, at 5:42 PM, John Williamson
>         <John.Williamson at glasgow.ac.uk
>         <mailto:John.Williamson at glasgow.ac.uk>> wrote:
>         Dear all,
>
>         I have the feeling that you are getting mixed up with
>         splitting things into other things as though this means
>         something. Martin is right. Light remains light. A photon goes
>         from emitter to absorber --- boom. If light is in a box it
>         remains light. It continues, in flight to be rest-massless. It
>         is the whole system that exhibits the PROPERTIES of a rest
>         mass, by virtue of the confinement.
>
>         The rest-mass is DEFINED as the square root of the 4-momentum
>         squared (in proper units). For any particle this is just what
>         you get by looking at it at rest. This is a Lorentz invariant
>         quantity. For a particle some of this may be rest-mass mass,
>         some confined field, some the confinement mechanism itself
>         (whatever that is). It all appears on the weighing scale.
>
>         In QED this value, for the virtual photons responsible for
>         electromagnetic attraction or repulsion may be positive
>         (repulsion) or negative (attraction). Yes, negative mass! This
>         does not mean there is an actual little lump of negative mass
>         that has just come about. You need to consider the whole
>         process not keep trying to split it into bits like lego. The
>         value is defined by the properties of the light AND the box.
>         For virtual particle exchange attraction one can also see it
>         as field cancellation. That is the negative bit. It isn't
>         magic. Just because you can write down an equation for mass
>         does not make it appear as a bit of mass with a label "mass"
>         on it!
>
>         Indeed, as light slows in a crystal there is an energy
>         associated with the photon, but equally with the (partial)
>         confinement of it by the crystal. It makes no sense to ascribe
>         this wholly to the one or the other. If the light circulates
>         with total internal reflection you could weigh it on a scale.
>         If it was a short laser pulse the crystal would jump up and
>         down as it went round and round - in principle you could
>         measure this too.
>
>         It is just confusing yourself to insist on things becoming
>         other things, with other properties. Analogies are nice, but
>         not if they confuse you. A zig-zagging photon, free to escape
>         up or down, is confined slightly differently to a wholly
>         confined one. This is due to the properties of the
>         confinement- not the properties of the photon. If its wholly
>         confined - and smooth you will weigh the whole photon energy
>         as rest mass, even though the photon is not itself rest-massive.
>
>         Regards, John W.
>         ------------------------------------------------------------------------
>         *From:*General
>         [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org
>         <mailto:general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org>]
>         on behalf of Mark, Martin van der
>         [martin.van.der.mark at philips.com
>         <mailto:martin.van.der.mark at philips.com>]
>         *Sent:*Monday, June 01, 2015 1:06 AM
>         *To:*Nature of Light and Particles - General Discussion
>         *Subject:*Re: [General] Photon
>         Richard, the photon itself, or light, never has a rest mass,
>         it is going at light speed, that is what light does.
>         The box plus photon does have a rest mass, equal to the mass
>         of the box plus the energy of the photon devided by c squared.
>         You have to be precise with these things!!!!
>         Just read light is heavy of you want to know hoe reflections work,
>         Best, Martin
>
>         Verstuurd vanaf mijn iPhone
>
>         Op 1 jun. 2015 om 01:56 heeft Richard Gauthier
>         <richgauthier at gmail.com <mailto:richgauthier at gmail.com>> het
>         volgende geschreven:
>
>             John W, John D, and Martin and others,
>             I agree with John D here: ( "But check out photon
>             effective mass. If you slow down a photon to less than c,
>             some of its energy-momentum is exhibited as mass. And
>             there’s a sliding scale in between the two extremes.” ) If
>             a photon of energy E has an extended straight trajectory,
>             it has no rest mass. If a photon of energy E is reflecting
>             back and forth perpendicularly in a mirror-box between
>             parallel mirrors, it has a rest mass E/c^2. If a photon of
>             energy E=mc^2=hf is circling in a closed circular loop or
>             double-loop (as in various models of an electron) it has
>             rest mass m= E/c^2 = 0.511 MeV/c^2 . I think we all agree
>             on this.
>             Now suppose a photon is zig-zagging between two parallel
>             mirrors where at each reflection the angle that the photon
>             makes with a mirror's surface is Theta.  Then the photon
>             has a longitudinal average velocity between the parallel
>             mirrors of v = c cos (Theta), or cos (Theta) = v/c .
>              Theta = 90 degrees corresponds to a photon reflecting
>             perpendicularly in a mirror-box where the photon's rest
>             mass m is E/c^2, and v=0. Theta = 0 degrees corresponds to
>             a photon traveling in an extended straight trajectory
>             parallel to the two mirrors in some direction, and in this
>             case the photon's rest mass m is zero, and v=c .  I found
>             this morning that for any Theta between 0 and 90 degrees,
>             a zig-zag reflecting photon of energy E=hf and angle Theta
>             has a rest mass of M= (E/c^2) sin (Theta)= E/(gamma c^2)
>             since when cos(Theta)=v/c, then sin (Theta) = 1/gamma.
>             This relationship is the case for relativistic velocities
>             also. So for example for a zig-zagging photon of energy
>             E=hf,  if Theta = 30 degrees, then v/c = cos(Theta)=
>             0.866, sin(Theta) = 0.5  and gamma = 2 . The rest mass M
>             of this zig-zagging photon of energy  E=hf is then M =
>             E/(gamma c^2) =  hf/(2 c^2) = 0.5 hf/c^2 .
>             This M=(E/c^2) sin(Theta) relationship for a zig-zagging
>             photon also applies to the helically circulating (with
>             helical angle Theta) charged photon model of the
>             relativistic electron, where the circulating charged
>             photon of energy E=hf=gamma m c^2  is always found with
>             this method to have a rest mass of  M = (E/c^2)  sin
>             (Theta) = (gamma m c^2)/(gamma c^2) = m = 0.511 Mev/c^2.
>             So John D’s sliding scale for the rest mass M of a
>             zig-zagging photon of energy E ,  speed c and longitudinal
>             velocity v, is M=(E/c^2) sin (Theta) = E/(gamma c^2). Can
>             anyone verify this sliding scale relation, or contradict
>             it (with calculations)?
>                Richard
>
>                 On May 31, 2015, at 2:01 AM, John Duffield
>                 <johnduffield at btconnect.com
>                 <mailto:johnduffield at btconnect.com>> wrote:
>                 John W:
>                 A little feedback. IMHO it’s important, so bear with me:
>                 If it has rest-mass it is not a photon.
>                 If you slow down a photon to an effective speed of
>                 zero because you trap it in a mirror-box, all of its
>                 energy-momentum is exhibited as mass. Photon momentum
>                 is a measure of resistance to change-in-motion for a
>                 wave moving linearly at c, whilst electron mass is  a
>                 measure of resistance to change-in-motion for a wave
>                 going round and round at c. But check out photon
>                 effective mass. If you slow down a photon to less than
>                 c, some of its energy-momentum is exhibited as mass.
>                 And there’s a sliding scale in between the two
>                 extremes. So if the speed of a photon in free space
>                 were to vary for some reason, its mass would vary. Of
>                 course this doesn’t happen to photons. But there are
>                 such things as neutrinos.
>                 One must include the properties of emitter and
>                 absorber as well - these are essential to the quantisation
>                 I disagree with this. The emitter is an electron, the
>                 absorber is an electron. IMHO the electron is 511keV
>                 because of the quantum nature of light. Imagine
>                 kicking a football. Kick it fast or kick it slow, the
>                 length of your leg is always the same. IMHO it’s the
>                 same for photon amplitude, and there’s only one
>                 wavelength that will do to wrap up that amplitude into
>                 the spin½ spinor that we call an electron.
>                 Isolated electrons cannot emit.
>                 True, but check out the Inverse Compton.
>                 The argument in the paper I have already posted is
>                 precisely that electromagnetism remains continuous and
>                 un-quantised.
>                 But light is quantized, and we make electrons out of
>                 it. And they’re always 511keV electrons.
>                 electromagnetic energy, propagated over a distance in
>                 space, must come in "lumps"
>                 An E=hf photon can have any frequency you like, and
>                 any energy you like. But it has a wave nature. Space
>                 waves. It is a lump.
>                 Photons are the bit that do not inter-act.
>                 Yes they do. Photons interact with photons in
>                 gamma-gamma pair production. And an electron is just a
>                 photon forever interacting with itself. Displacing its
>                 own path into a closed path.
>                 Coming back to another point you raise – you suggest,
>                 Chip, that I should possibly try going to  root two of
>                 c  and then I’ll get my numbers to fit.
>                 Imagine you’re in your gedanken canoe and a waves
>                 comes at you at the speed of light. You rise up. At
>                 what speed?
>                 Two reasons: firstly the zitterbewegung fluid in the
>                 Dirac model is not fields but some stuff with peculiar
>                 properties defined by the new theory: Spinors. These
>                 have the peculiar property that you must rotate
>                 through 720 degrees to get back to where you started from.
>                 That’s what you have to do to convert a field
>                 variation into a standing field. Imagine a seismic
>                 wave that displaces you 1m left then 1m right.
>                 Represent it as a sine-wave paper strip, like below.
>                 Then turn that into a Mobius strip. You now have an
>                 all-round standing displacement of 1m.
>                 <image001.jpg>
>                 Coming back to a more advanced theory: one has to
>                 explain why and how charges arise in a pair-creation
>                 process. To do this one has to understand field properly
>                 IMHO one has to understand potential and displacement
>                 current, and how a field-variation is more fundamental
>                 than the electron’s electromagnetic field.
>                 Are you charging the electric field part or the
>                 magnetic field part, for example.
>                 One is the slope of your canoe, the other is the rate
>                 of change of slope of your canoe.
>                 For me, the charge comes about more from, as Chip and
>                 John D are arguing, from a topological
>                 re-configuration of the field such that it is
>                 everywhere radial in a double looped configuration.
>                 The photon has field. The field is rectified by the
>                 twist and the turn. The confinement leads then to a
>                 confined object appearing to be (and actually being)
>                 charged.
>                 Well said that man. Why isn’t this common knowledge?
>                 The turn itself – essential to the re-configuration of
>                 the field, is engendered in my model not by a charge,
>                 but by
>                 displacement current. It does what it says on the can.
>                 Now, coming back to numbers, let us say that I did
>                 want Martin and my old model to get the charge exactly
>                 right (for example).
>                 Try √(ε0/4πc³).
>                 Regards
>                 JohnD
>                 *From:*General
>                 [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                 Behalf Of*John Williamson
>                 *Sent:*30 May 2015 16:31
>                 *To:*Nature of Light and Particles - General Discussion
>                 *Cc:*Manohar .; Nick Bailey; Anthony Booth; Ariane
>                 Mandray; Kyran Williamson
>                 *Subject:*Re: [General] Photon
>                 Good morning everyone,
>
>                 Firstly - yes indeed I do not think I have it
>                 precisely right in the paper I have circulated yet. I
>                 am not in the habit of being completely right
>                 first-time every time! I'm actually quite pleased
>                 about that - otherwise where would be the fun? I have
>                 certainly not explained myself well enough yet. Martin
>                 has, already, done a better job than me, on the nature
>                 of the photon, in his comment yesterday.
>                 Secondly, though, I do not agree with Chip that it ok
>                 to put photons on top of one another, or with Richard
>                 that the solution is to think about charged photons.
>
>                 The problem is description - and language is such an
>                 imprecise tool - words carry far too much weight yet
>                 you need to use them. More, if one is going to
>                 properly describe nature in a theory – you need the
>                 actual theory – not just vague notions that address a
>                 single problem. For me the phrase “charged photon”,
>                 for example, is an oxymoron. The photon is for me, by
>                 its nature an uncharged and rest-massless thing. If it
>                 has charge it has rest-mass. If it has rest-mass it is
>                 not a photon. This is my problem though: I do not own
>                 the word “photon”.
>
>                 Having a word for "photon" means that one is tempted
>                 to think that it is a thing. I say it and mean
>                 something – most of you hear something else (except
>                 Martin – he and I are pretty close on this and I agree
>                 with his description). For most, the concept separates
>                 it from the complete process of charge-charge exchange
>                 of a quantum of energy - which is actually what is
>                 going on, and what is actually observed. So, when I
>                 say the photon is self-quantised I am not talking
>                 about a little self-contained quantized EM bullet
>                 being emitted independent of its emitter or absorber.
>                 One must include the properties of emitter and
>                 absorber as well - these are essential to the
>                 quantisation and it is from these that one calculates
>                 the (mere) value of the charge and Plank's constant.
>                 It is, as I argue, the properties of the
>                 emission-absorption process which give the
>                 quantisation. It is the initial configuration of the
>                 fields, engendered in the emitter that must modulate
>                 the carrier to a pure zero-rest mass configuration in
>                 order to propagate. The initial fields in the emitter
>                 must fulfil strict criteria – corresponding exactly to
>                 those observed physically. They may only transform
>                 with the same factor as does the frequency (this is
>                 just normal relativity – not an extra condition).
>                 Fields transform, however, only perpendicular to the
>                 boost, whereas the 4-vector transforms only parallel
>                 to it. Again, just the standard relativity of fields
>                 and vectors. If the fields are right, then they can be
>                 transported by a hypercomplex exponential which
>                 normally contains rest-mass components and cannot
>                 itself propagate. It remains at rest at the site of
>                 the emitter (though it may recoil a bit). I think the
>                 reason I am getting the wrong value for the constant
>                 of Plank is nothing to do with the velocities I’m
>                 using but comes about because I am assuming at first
>                 that the usual emitter is an electron – when in fact
>                 it is usually an atom. Isolated electrons cannot emit.
>                 I need now to brush up on atomic physics, Next job.
>                 Next paper – hopefully.
>
>                 No matter. The argument in the paper I have already
>                 posted is precisely that electromagnetism remains
>                 continuous and un-quantised. The point is that - for a
>                 long distance exchange of electromagnetic energy ONLY
>                 states which have certain properties may propagate.
>                 Chief amongst those properties (for the wave-function
>                 proposed) is that constrained by this form,
>                 electromagnetic energy, propagated over a distance in
>                 space, must come in "lumps". The wave-function
>                 proposed supports ONLY a change in frequency. That is
>                 the wave-function I propose works if, and only if, the
>                 energy transferred is proportional to the frequency.
>                 This is what is new about it. It only "works" if the
>                 light comes in lumps. It only propagates strongly
>                 constrained fields. This is not to say that
>                 electromagnetism itself is quantised - it is not. It
>                 remains free to chirp and stretch and polarise freely
>                 as Martin explains. It describes only non-interacting
>                 waves NIW, as Chandra argues. Most of the physics is
>                 still just classical electromagnetism. Chandra is
>                 mostly right (in my view). Read his papers! The
>                 inter-action is not between photons, it is between
>                 charges. Photons are the bit that do not inter-act.
>                 This is what NIW means.
>                 The new theory allows (actually it requires) the
>                 description of continuous waves, locally. They just do
>                 not propagate over long distances (even a few
>                 wavelengths!) because that is excluded at the level of
>                 the first turn (the first differential).  It is the
>                 whole process that exhibits the quantisation – just as
>                 Martin says. It is just that if light wants to go
>                 anywhere it, necessarily, starts looking a lot like a
>                 photon. Richard is right to separate out the different
>                 levels of quantisation as well. It is not one thing,
>                 but the separation of the continuous into integer
>                 units of various dimension. There is not one
>                 “quantisation” in nature, but many. The new theory
>                 pertains only the process usually called photon
>                 exchange. The quantisation I am talking about here is
>                 the quantisation of EM into "photons".
>
>                 Now, coming onto that process and that argument, you
>                 say, Chip, that it should be perfectly possible to put
>                 two photons precisely on top of one another so that
>                 they add linearly. 1+1=2. Yes – but no. Such an object
>                 is and has to be an object with a different frequency.
>                 That is the point. This comes to the heart of the
>                 matter and the heart of the reason I argue the whole
>                 process should come in lumps defined by the frequency
>                 alone.  If it were so that one could put two photons
>                 on top of one another, one would observe the two
>                 "photons" to be emitted at precisely the same time in
>                 the same emission event, and absorbed at precisely the
>                 same time and place in the absorption event. That is
>                 one would propagate two red (say) photons and get a
>                 blue's worth of energy in the exchange event now
>                 involving two photons. Now you may want this to be so,
>                 it may feel like a nice friendly thing photons (which
>                 are after all bosons) should be able to do. Only
>                 problem is that such a notion is in contradiction with
>                 what is observed experimentally. One could put a
>                 diffraction grating between source and detector, for
>                 example, such that the photons appeared in different
>                 places according to their frequency. Place the
>                 detector at the "red" position. No signal. No
>                 di-photon events with the characteristics of red
>                 photons. Where are they? Try going to the blue
>                 position. There they are! Appearing as one lump of
>                 energy one at a time. They do have the doubled energy
>                 one would expect from 1+1= 2 – but they do not –
>                 experimentally- have the same wavelength, or
>                 frequency. You get only blue ones. This is what you
>                 observe and what has been observed all along in
>                 experiment since the photo-electric effect. In your
>                 thinking you must be rigorous enough to bear this in
>                 mind. What is observed in experiment is what your
>                 theory must parallel. Otherwise it is just fantasy
>                 (fantasy is good!). To be proper physics, though, it
>                 must not just describe what does happen. It must also
>                 say why what is observed NOT to happen does not
>                 happen.  Too many of the current batch of theories do
>                 describe a wee bit of nature, but also predict vast
>                 slews of phenomena that just don’t happen. Not good!
>                 This may have become fashionable in the last
>                 half-century or so. It is certainly convenient for
>                 some theories as it means they cannot easily be
>                 toppled by pesky experiment which would otherwise wipe
>                 most of them out. People have become used to theory
>                 predicting lots of things that do not happen. This is
>                 not good enough for proper progress. These theories
>                 cannot be used for engineering applications. One would
>                 predict lots of things to work that would not. We need
>                 precision and rigour. This is why I appreciate
>                 criticism so much. Thanks Chip! It helps us all get to
>                 the point.
>                 The ultimate "reason" for the quantisation of the
>                 compete solution I have made up in the paper is
>                 exactly the two conditions that energies should add
>                 AND that fields should add LINEARLY. This is what the
>                 new wave-functions do.
>                 It feels that one should have freedom of thought (and
>                 one does!), but for thinking to parallel the physical
>                 world it must be constrained, not by one thinks about
>                 nature, but by what one observes it to do. It must fit
>                 experiment. All of it. In other words to parallel
>                 nature it must fit the whole of your physical
>                 understanding - all at once. This is very strongly
>                 constrained thinking. Worse- not all of us know all of
>                 experiment all at once (especially me!).
>                 Coming back to another point you raise – you suggest,
>                 Chip, that I should possibly try going to  root two of
>                 c  and then I’ll get my numbers to fit. Now, if I just
>                 wanted to get the numbers to fit this might be an
>                 option. I cannot allow myself to do this though. Why?
>                 Because light travels at c. Experimentally. This is
>                 not a floppy condition. It is not a parameter you can
>                 just vary with no consequence elsewhere. It is fun to
>                 think about it – but in doing so one moves away from
>                 the whole constraint of the whole of physics I talked
>                 about above. One goes out in a soft, friendly, mushy
>                 area of thinking where all things are possible. One
>                 goes out in the world of untamed imagination. Great!
>                 There is plenty of room for that. I love fiction!
>                 Physics is now so complicated, however, that such
>                 thinking will rapidly move away from that which is
>                 observed in very many areas. One is in a world without
>                 proper signposts or fixed points. This is a very
>                 similar world to the world of string, or the world of
>                 QCD where nothing is well-defined. One is already lost.
>                 Coming back to Richard’s point of the charged photon.
>                 Again one is going into the mushy – into the mist.
>                 Give the photon an intrinsic charge. Why not?  The
>                 answer is, not only that charge is a divergence
>                 inconsistent with light-speed motion as I argued
>                 earlier, (not a problem if one has a floppy light
>                 velocity though – such photons would be, necessarily,
>                 not composed of field and be sub-light speed), but
>                 that it is a mushy continuous charge thing. One should
>                 observe all sorts of charges. One does not. One sees
>                 charges only associated with “particles”. A charged
>                 photon should not close, but should repel itself. One
>                 causes far more problems with the conjecture than one
>                 solves. The theory must not only explain what is
>                 observed, but also why other things are NOT observed.
>                 That comes to the other problem. There is no charged
>                 photon theory. No differential equations describing
>                 its motion. It ends up just being a notion. A notion,
>                 effectively, of charged fields. Why not just make it a
>                 scalar charge? That is already complex enough. The
>                 theory for this was explored, for example, by Dirac
>                 himself in the fifties. It did not lead anywhere (yet,
>                 at least).
>                 Now coming back to Dirac and his (much earlier) linear
>                 relativistic theory. Dirac, in his relativistic
>                 quantum mechanics, does indeed integrate his linear
>                 equation and derives a motion consisting of a quickly
>                 oscillating lightspeed part, the zitterbewegung and an
>                 overall motion characterised by the normal energy as a
>                 half m v squared part. Very beautiful. He does not get
>                 them separately – they are the first two terms in an
>                 expansion. Incidentally this also gets the de-Broglie
>                 wavelength right, with a doubled Compton frequency
>                 nota bene. The factor of two comes out. It is not put
>                 in a-priori. This is what happens in a proper
>                 relativistic linear theory. So what is the problem,
>                 why do we not just pack up go home and go fishing? 
>                 Job done. Two reasons: firstly the zitterbewegung
>                 fluid in the Dirac model is not fields but some stuff
>                 with peculiar properties defined by the new theory:
>                 Spinors. These have the peculiar property that you
>                 must rotate through 720 degrees to get back to where
>                 you started from. This is good in itself – and goes a
>                 long way to describing the fundamental difference
>                 between fermions and bosons. It is certainly a big
>                 element of the truth. Understanding these objects
>                 properly, however, has proved beyond the wit of
>                 generations of physicists (if they are honest) –
>                 including Dirac himself and Feymann- both of whom were
>                 bright and brave enough to simply say so. Dirac does
>                 so, for example, in his own book, directly after
>                 deriving the base solutions. Good man. Others waffle –
>                 or put the problem into simple two-valued groups such
>                 as SU(2). Stick it into simple maths and forget about
>                 it. Make it an inviolable starting point of further
>                 theory. Bit wimpy – but safe<UrlBlockedError.aspx>!
>                 Moving spinors – even slowly moving spinors start
>                 mixing with each other. They are not a
>                 relativistically invariant basis. Big problem!
>                 I think the base problem with the Dirac model is that
>                 it is still too simple – and I think that the point
>                 where Dirac goes wrong is when he makes two different
>                 identifications with the same thing. This messes
>                 everything up and leads to, not only solutions, but
>                 also basic dynamical terms “being difficult to
>                 interpret because they are complex” - as Dirac says.
>                 Where this comes from is that he has used,
>                 unwittingly, the same square root of minus one for two
>                 conceptually different things. Complex indeed, but not
>                 complex enough. And mixed up at that.
>                 Coming back to a more advanced theory: one has to
>                 explain why and how charges arise in a pair-creation
>                 process. To do this one has to understand field
>                 properly (at least as the six components of an
>                 antisymettric tensor – but tensor algebra does not go
>                 far enough (yet) either).  One needs to get going with
>                 a proper field theory – not just with a loosely based
>                 model. If you are going to charge a photon this cannot
>                 be ad-hoc. Are you charging the electric field part or
>                 the magnetic field part, for example. Are you adding a
>                 4-vector (charge is the first component of the
>                 4-current) to the six-vector? Just what is it,
>                 exactly, that you are proposing? How do you propose to
>                 modify the undelying theory to accommodate your
>                 conjecture?
>                 For me, the charge comes about more from, as Chip and
>                 John D are arguing, from a topological
>                 re-configuration of the field such that it is
>                 everywhere radial in a double looped configuration.
>                 The photon has field. The field is rectified by the
>                 twist and the turn. The confinement leads then to a
>                 confined object appearing to be (and actually being)
>                 charged.
>                 The turn itself – essential to the re-configuration of
>                 the field, is engendered in my model not by a charge,
>                 but by a dynamical scalar rest-mass term in
>                 conjunction with the electric component of the field.
>                 This is a seventh component in addition to the six
>                 components of the EM field. You may also see it as an
>                 element of energy. I agree with you partially here,
>                 that this is fundamental stuff – but so is field and
>                 field is different. It is not a scalar.
>                 The resulting composite object is fermionic in that it
>                 a double-turn –a fundamental fermion. It is charged in
>                 that it can inter-act and exchange energy. In
>                 isolation, it exhibits a radial electric field – as
>                 does a charge. Why would you need to complicate things
>                 by wanting the poor photon to be charged as well? You
>                 do not need it! How are you ever going to calculate
>                 the charge from first principles when you put a random
>                 amount of it in to begin with? You are going to get
>                 the charge of the photon, plus or minus the charge
>                 engendered by the topology and the confinement. Why? I
>                 think at this point one is doubly lost. One has had to
>                 give up the idea that EM propagates at lightspeed and
>                 one has also arbitrarily assigned a charge to an
>                 imagined “charged photon” – an object which is not
>                 observed in the real world. Further, one has lost the
>                 possibility of a theory to work with as there is no
>                 theory of the charged photon with equations like the
>                 Maxwell equations, or the Schroedinger equation, or
>                 the Dirac equation. One is then triply lost.
>                 Now, coming back to numbers, let us say that I did
>                 want Martin and my old model to get the charge exactly
>                 right (for example). There is a simple way to do this
>                 without too much fuss and without varying the
>                 lightspeed or introducing a charge to the photon. Just
>                 allow the ratio of the minor to the major axes of the
>                 torus to vary. If zero – one gets the charge slightly
>                 less than q. A bit more – hey presto- just right. More
>                 still … one can wind it up to about 20 times the
>                 charge observed. Why is this not a result? Why does
>                 this not fix the ratio of minor to major.  Well – for
>                 example could vary all sorts of other things – why not
>                 flatten it slightly? Why not put it in a cubical box
>                 (this value is then damn close –less than a percent!).
>                 Why not stick a hole in it – like a spindle? Why not
>                 make it pear-shaped (this is not as daft as it sounds
>                 and may end up being the answer!).
>                 Yes – you can do anything in your mind. The problem is
>                 that process is futile unless one has a proper theory,
>                 or some experiment which can distinguish these things.
>                 Now, clearly, I’m hoping that the new theory I propose
>                 may, ultimately, provide the answer. My second choice
>                 would be that the extension of the Bateman method,
>                 which Martin is pursuing, does the trick. Maybe these
>                 will converge or merge with some other thinking in the
>                 group (even better!). Perhaps we will find some
>                 seminal experiment which fixes some aspect of it.
>                 Perhaps the experiment has already been done and one
>                 or other of you know about it.
>                 There is a lot of work between where I am now and
>                 there though, and perhaps not enough life and energy
>                 left in me to pursue it as much as I would like,
>                 (squished as I am by a pile of exams – though the
>                 marking is now nearly finished). The work to come
>                 requires developing a canon of work similar to that
>                 produced by dozens of the greats in non-relativistic
>                 quantum mechanics in the 1930’s – except the base
>                 equations are much more complicated than the simple
>                 Schroedinger equation. We have equations, but we need
>                 to find solutions to the equations. Plenty of work to
>                 do!  I’m hoping to convince a few folk with enough
>                 talent and energy to start getting stuck in to this
>                 programme. The process can, and probably will, throw
>                 up problems with the original conception and
>                 formulation. I agree here with Chip!  No problem! If
>                 it is wrong – modify it or throw it out and make up a
>                 new one. That is the proper application of the
>                 scientific method.
>                 Anyway this has turned into too much of an opus.
>                 Though it was started in the morning it is now
>                 afternoon and time for me to go and get on with some
>                 proper work. Marking awaits!
>                 Bye for now,
>                 John W.
>                 ------------------------------------------------------------------------
>                 *From:*General
>                 [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org
>                 <mailto:general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org>]
>                 on behalf of Richard Gauthier [richgauthier at gmail.com
>                 <mailto:richgauthier at gmail.com>]
>                 *Sent:*Saturday, May 30, 2015 2:59 PM
>                 *To:*Nature of Light and Particles - General Discussion
>                 *Subject:*Re: [General] Photon
>                 John and Martin,
>                   Thanks for your encouragement. The electron is a
>                 photon going round and round in the case of a resting
>                 electron, otherwise it is a photon going round and
>                 round and forward in some kind of helical motion, in
>                 which case it is not a standing field in this
>                 reference frame. Whether or not the charge of a
>                 charged photon moves at the speed of light depends on
>                 the particular model of the photon that one has. The
>                 relativistic charged-photon/electron model does not
>                 require a particular photon model.The charge that is
>                 detected, like the electron mass that is detected, may
>                 be moving at sub-light speed. Mass is not more
>                 fundamental than energy, and is proposed to be
>                 composed of light-speed energy in the case of the
>                 electron.
>                    Richard
>
>                     On May 30, 2015, at 5:03 AM, John Duffield
>                     <johnduffield at btconnect.com
>                     <mailto:johnduffield at btconnect.com>> wrote:
>                     Can anyone clearly explain why a charged photon of
>                     spin 1/2 hbar and rest mass 0.511MeV/c^2 is not
>                     the missing link between the uncharged photon and
>                     the electron?
>                     Yes, I can. The electron is a 511keV photon going
>                     round and round. It’s a charged
>                     particle/because/it’s a photon going round and
>                     round.  The photon moving linearly is a field
>                     variation, but when it’s going round and round,
>                     it’s a standing field. That’s why it has mass too.
>                      It’s likethe photon In a box
>                     <http://www.researchgate.net/publication/273419950_Light_is_Heavy>.
>                     Only it’s a box of its own making. Light displaces
>                     its own path into a closed path, because light is
>                     displacement current. And it does what it says on
>                     the can. Because space waves.
>                     Regards
>                     John D
>                     PS: Counter-rotating vortices repel,_co_-rotating
>                     vortices attract, seeOn Vortex Particles
>                     <http://www.scribd.com/doc/68152826/On-Vortex-Particles-Fiasco-Press-Journal-of-Swarm-Scholarship#scribd>by
>                     David St John. They ain’t called spinors for nothing!
>                     *From:*General
>                     [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                     Behalf Of*Mark, Martin van der
>                     *Sent:*29 May 2015 23:47
>                     *To:*Nature of Light and Particles - General
>                     Discussion
>                     *Subject:*Re: [General] Photon
>                     Richard, yes, thank you.
>                     That is indeed a very good remark, you are
>                     probably very right.
>                     Let me think about it a bit more,
>                     Best,
>                     Martin
>
>                     Verstuurd vanaf mijn iPhone
>
>                     Op 29 mei 2015 om 21:45 heeft Richard Gauthier
>                     <richgauthier at gmail.com
>                     <mailto:richgauthier at gmail.com>> het volgende
>                     geschreven:
>
>                         Chip, John and Martin,
>                          I think you gentlemen are onto something. A
>                         photon has three related levels of
>                         quantization (E=hf, p=h/lambda and spin =
>                         hbar) — perhaps only the third is truly
>                         quantized in the sense of having a discrete
>                         value. An electron has two more levels of
>                         discrete quantization (charge and rest mass)
>                         which may be closely related to its spin 1/2
>                         hbar. The electron’s charge may be closely
>                         related to its spin hbar/2 in the case of the
>                         electron, but not the case of the neutrino).
>                         An electron gains further levels of discrete
>                         quantization (its energy eigenvalues) by being
>                         bound in an atom. The more discrete quantum
>                         levels a quantum has, the more it is “bound”
>                         to a material condition.  Can anyone clearly
>                         explain why a charged photon of spin 1/2 hbar
>                         and rest mass 0.511MeV/c^2 is not the missing
>                         link between the uncharged photon and the
>                         electron?
>                            Richard
>
>                             On May 29, 2015, at 12:07 PM, Chip Akins
>                             <chipakins at gmail.com
>                             <mailto:chipakins at gmail.com>> wrote:
>                             Hi Martin
>                             With your experience and depth of
>                             understanding regarding photons, and the
>                             evidence, I am of course inclined to agree
>                             with you regarding the nature of photons.
>                             Regarding: “How and why that works the
>                             same for radio waves and gamma rays, is a
>                             mystery. Well this bit is my personal
>                             opinion, of course.”
>                             There is perhaps a difference between the
>                             interactions we observe when using longer
>                             wavelength radio waves as compared to the
>                             particle-sized gamma rays. The radio waves
>                             are a source of field influence which can
>                             cause electron drift, just as a DC field
>                             can move electrons, but at the scale of
>                             the electron, or even the electron’s
>                             “orbit” in an atom, the frequency of the
>                             radio wave is far less “important” than
>                             the frequency of a gamma ray would be. 
>                             The resonances of the particle would be
>                             less likely to be significantly influenced
>                             by the radio wave, but the radio wave
>                             would still exert a force on the electron.
>                             Radio waves are generally detected by
>                             measuring the movement of electrons in
>                             conductive materials where the electrons
>                             in the materials are fairly easy to move.
>                             It seems likely that it takes at least the
>                             motion of one electron in the transmitting
>                             antenna to induce any motion of an
>                             electron in a receiving antenna, assuming
>                             the same configuration of transmitter and
>                             receiver antennae. But the incident field
>                             on the receiving antenna may not be an
>                             integral value of “photon energy”.
>                             Is this why you refer to a “continuum
>                             wave”? Because the absorber only uses what
>                             is can use of the available energy? So
>                             that a photon may actually contain more
>                             energy than is absorbed in an interaction?
>                             Chip
>                             *From:*General
>                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                             Behalf Of*Mark, Martin van der
>                             *Sent:*Friday, May 29, 2015 12:42 PM
>                             *To:*Nature of Light and Particles -
>                             General Discussion
>                             *Subject:*Re: [General] Photon
>                             Dear Chip,
>                             now you are really getting there for sure,
>                             those questions and statements are at the
>                             right level to begin with. But your kind
>                             of understanding certainly converges with
>                             my ideas.
>                             That me be good or bad, but I would judge
>                             it as good. ;-)
>                             See for extra comments below…
>                             Cheers, Martin
>                             Dr. Martin B. van der Mark
>                             Principal Scientist, Minimally Invasive
>                             Healthcare
>                             Philips Research Europe - Eindhoven
>                             High Tech Campus, Building 34 (WB2.025)
>                             Prof. Holstlaan 4
>                             5656 AE  Eindhoven, The Netherlands
>                             Tel: +31 40 2747548
>                             *From:*General
>                             [mailto:general-bounces+martin.van.der.mark=philips.com at lists.natureoflightandparticles.org]*On
>                             Behalf Of*Chip Akins
>                             *Sent:*vrijdag 29 mei 2015 15:45
>                             *To:*'Nature of Light and Particles -
>                             General Discussion'
>                             *Subject:*Re: [General] Photon
>                             H John W
>                             Thank you.  One reason for asking the
>                             question and pursuing the thought process,
>                             was to try to further illustrate the lack
>                             of any explanation so far which supports
>                             the strict self-quantization of photons.
>                             This has been leading me to think that the
>                             source for quantization is the spin ½
>                             configuration of fermions. (Which would
>                             act as quantizers both while emitting and
>                             absorbing). If this is true then it means
>                             that, for a photon, E=hv only holds true
>                             because of the emitter and absorber.
>                             MvdM: This may be exactly right.
>                             Regarding the uncertainty principle:
>                             If we take a single point snapshot of a
>                             sinusoidal function we are very uncertain
>                             about its frequency, the more time we
>                             spend sampling the wave the more certain
>                             we become of its frequency. Now if we are
>                             using sinusoidal waves to create
>                             particles, many of the properties of the
>                             particles will be uncertain with our
>                             measurements, because the measurements we
>                             can take disturb the system, and are only
>                             valid for brief times or spaces before the
>                             information is no longer valid, due to
>                             measurement. Because when we set up a
>                             measurement, we create conditions where
>                             discrete waves and fields will interact,
>                             creating an energy exchange which occurs
>                             in a very finite timeframe, disturbing
>                             completely what we are measuring. This
>                             correlation to the uncertainty principle
>                             is one of the reasons that I feel fields
>                             and waves are the best candidate for the
>                             fundamental makeup of particles. Fields
>                             and waves in these configurations
>                             naturally create an uncertainty in
>                             measurement which correlates exactly with
>                             the observed, understood, and measured
>                             uncertainties. The hydrogen atom is such a
>                             nice tool for modeling and understanding
>                             these issues.
>                             MvdM: yes and this kind of uncertainty is
>                             given by what is called the Fourier limit
>                             amended with hbar
>                             Of course the use of the word orbit to
>                             describe the electron’s state in an atom
>                             is too ambiguous to actually describe its
>                             state.  The electron exists in a space
>                             surrounding the nucleus, and spins about
>                             it, but it’s more like the electron
>                             surrounds the nucleus and less like an orbit.
>                             MvdM: true, and this is why detailed
>                             orbital calculations in a photon model for
>                             the electron are totally futile; only a
>                             real theory will tell.
>                             So what I am getting to is that the
>                             different “spin modes” of the photon and
>                             the electron are significant. I think the
>                             photon has what we may call a symmetric
>                             field spin mode, where it spins about the
>                             point between the positive and negative
>                             field lines, making it charge neutral. But
>                             the electron’s principal spin is a
>                             non-symmetrical field spin mode, with the
>                             point between the positive and negative
>                             fields displaced from the spin axis,
>                             giving it charge. Apparently this has
>                             other important effects as well.  It seems
>                             this spin mode allows the electron to be
>                             quantized based on energy density, unlike
>                             the photon.
>                             The underlying reason I am asking these
>                             questions is related to the formulation
>                             for field equations. There seems to be a
>                             difference between the behavior of the
>                             fields in the photon and the quantization
>                             behavior of the fields in fermions.  The
>                             spin configuration seems to be the cause
>                             for the forces which create quantization.
>                             MvdM: Yes and the reason is that the
>                             electron needs binding forces and
>                             nonlinearity, the “free” photon doesn’t
>                             But back to the photon:  Since the photon
>                             cannot be quantized by its internal energy
>                             density, does it spin due to the spin
>                             angular momentum imparted by the emitter?
>                             Is the photon actually not internally
>                             quantized at all? That is to say, is there
>                             no inherent mechanism within the photon
>                             itself which imposed a specific
>                             quantization? Is the relationship E=hv
>                             imposed only at the emission or
>                             absorption? And therefore can we create
>                             photons without spin? Or can we create
>                             photons where E=hv is not true? And are
>                             photons really particles at all, or are
>                             they just waves, which seem like particles
>                             because of their interaction with the
>                             quantization of emitters and absorbers.
>                             MvdM: Good questions, I go for waves. The
>                             photon is merely a quantum of energy that
>                             is taken up by the absorber from a
>                             continuum wave. It is not a particle by it
>                             self, and doen’t need to have the
>                             machinery on-board to keep itself together
>                             or be quantized or what. It is just a
>                             Maxwell wave. But this Maxwell wave can
>                             only be emitted and absorbed according to
>                             the rules of (boundary conditions imposed
>                             by) emitter and absorber. How and why that
>                             works the same for radio waves and gamma
>                             rays, is a mystery. Well this bit is my
>                             personal opinion, of course.
>                             While we could view many of the question
>                             as rhetorical it seems that we may need to
>                             understand and answer them as literal.
>                             Chandra, Martin, All?
>                             Chip
>                             *From:*General
>                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                             Behalf Of*John Williamson
>                             *Sent:*Thursday, May 28, 2015 4:29 PM
>                             *To:*Nature of Light and Particles -
>                             General Discussion
>                             *Subject:*Re: [General] Photon
>                             Hi Chip and everyone,
>
>                             Good thought but no- quantisation cannot
>                             be dependent on energy density. This is
>                             what experiment tells you - and is the
>                             beauty of experiment. Experimentally
>                             photons can have any wave-train length.
>                             The photon energy, however, is related to
>                             its frequency alone. Photons from a source
>                             have a well-defined energy only if they
>                             are pretty long (this is a consequence of
>                             the uncertainty principle). There are lots
>                             of people in the group (Martin and Chandra
>                             for two) - who know lots more about this
>                             than I do and some who perform experiments
>                             interfering, stretching and bending light.
>
>                             Any proper theory needs to describe
>                             experiment - all of it - not just the bits
>                             we may happen to know about!
>
>                             Regards, John
>                             ------------------------------------------------------------------------
>                             *From:*General
>                             [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org
>                             <mailto:general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org>]
>                             on behalf of Chip Akins
>                             [chipakins at gmail.com
>                             <mailto:chipakins at gmail.com>]
>                             *Sent:*Monday, May 25, 2015 4:51 PM
>                             *To:*'Nature of Light and Particles -
>                             General Discussion'
>                             *Subject:*Re: [General] Photon
>                             Hi John W and All
>                             While looking at quantization which may be
>                             caused by a twist term included with
>                             Maxwell’s equations, at least one puzzle
>                             remains unanswered for me.  The nature of
>                             photons is still a bit difficult to
>                             understand. It is much easier to envision
>                             a photon of a single wavelength than a
>                             photon which is many wavelengths. If
>                             energy density is the cause for
>                             quantization (spin and frequency) it is
>                             more difficult to see how that can be so,
>                             if a photon may have an arbitrary number
>                             of cycles, but have its energy density
>                             spread out over all cycles.  What do you
>                             think the likelihood is that not only
>                             frequency but also the number of cycles in
>                             a photon is quantized?  If this is the
>                             case then we could still understand how
>                             the correct spin would result from energy
>                             density for each cycle. But then we would
>                             have to also address the energy density to
>                             twist relationship for single wavelength
>                             structures like the electron models we
>                             have been creating.???
>                             It seems evident that quantization for
>                             frequency is dependent upon energy, and I
>                             assumed it was therefore due to energy
>                             density. Which works nicely for single
>                             wavelength photons. Experiment seems to
>                             indicate that we can create photons, using
>                             various methods, which have an arbitrary
>                             number of wavelengths. How can we
>                             physically correlate this to photon
>                             frequency quantization, when the energy
>                             density of the photon has been spread out
>                             over many cycles? Is there some apparently
>                             “non-local” mechanism which couples the
>                             energy of all cycles in a single photon,
>                             and therefore helps to retain the E=hv
>                             relationship?
>                             Thoughts?
>                             Chip
>                             *From:*General
>                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                             Behalf Of*John Williamson
>                             *Sent:*Sunday, May 24, 2015 10:46 PM
>                             *To:*Nature of Light and Particles -
>                             General Discussion
>                             *Subject:*Re: [General] Electron Torus
>                             Hello,
>
>                             Briefly - yes pi mesons are real
>                             particles. They leave nice long traces in
>                             cloud or bubble chambers. The rho is
>                             equally real.
>
>                             Gluons have never been observed directly.
>                             The W and Z are sufficiently short-lived
>                             that they are observed as so-called
>                             resonances.
>
>                             Regards, John.
>                             ------------------------------------------------------------------------
>                             *From:*General
>                             [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org
>                             <mailto:general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org>]
>                             on behalf of Richard Gauthier
>                             [richgauthier at gmail.com
>                             <mailto:richgauthier at gmail.com>]
>                             *Sent:*Sunday, May 24, 2015 11:21 PM
>                             *To:*Nature of Light and Particles -
>                             General Discussion
>                             *Subject:*Re: [General] Electron Torus
>                             John D,
>                              And according to
>                             http://en.wikipedia.org/wiki/Virtual_particle ,
>                             the pi meson and rho meson are virtual
>                             particles for proton-neutron attraction in
>                             nuclei, as are the W and Z bosons for the
>                             weak nuclear force.  Are gluons, pi mesons
>                             and W and Z particles ever real?
>
>                                 On May 24, 2015, at 8:58 AM, John
>                                 Duffield <johnduffield at btconnect.com
>                                 <mailto:johnduffield at btconnect.com>>
>                                 wrote:
>                                 Richard:
>                                 See theWikipedia gluon article
>                                 <http://en.wikipedia.org/wiki/Gluon#Confinement>,
>                                 note the bit that says/as opposed to
>                                 virtual ones found in ordinary
>                                 hadrons./The gluons in a proton are
>                                 virtual. As in not real. And LOL,
>                                 perhaps the same is true of the quarks!
>                                 Regards
>                                 John D
>                                 *From:*General
>                                 [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                                 Behalf Of*Richard Gauthier
>                                 *Sent:*24 May 2015 16:12
>                                 *To:*Nature of Light and Particles -
>                                 General Discussion
>                                 *Subject:*Re: [General] Electron Torus
>                                 Chip, Martin, John D and others,
>                                  I suspect that the fundamental
>                                 quantities of both spacetime and
>                                 particles/fields are frequency
>                                 (directly proportional to the energy
>                                 of a particle and inversely
>                                 proportional to time) and wavelength
>                                 (inversely proportional to the
>                                  momentum of a particle and directly
>                                 proportional to space). Spin is
>                                 related to energy-momentum topology.
>                                 Electric charge seems related to
>                                 topology.  Particles with rest mass
>                                 are composed of charged photons and
>                                 related speed-of-light particles like
>                                 charged gluons (normal gluons are
>                                 electrically uncharged but have color
>                                 charge while quarks have both
>                                 electrical charge and color charge.)
>                                 And I suspect that the energy quantum
>                                 (composing both speed-of-light
>                                 particles and rest-mass particles) is
>                                 the unifying link between spacetime
>                                 and particles/fields (and therefore
>                                 quantum mechanics/QED/QCD/quantum
>                                 gravity) and may be the precursor as
>                                 well as the sustainer of both.
>                                    Richard
>
>                                     On May 24, 2015, at 7:06 AM, Mark,
>                                     Martin van der
>                                     <martin.van.der.mark at philips.com
>                                     <mailto:martin.van.der.mark at philips.com>>
>                                     wrote:
>                                     John D,
>                                     I fully agree with your reply to
>                                     Chip, thanks for the details!
>                                     Please join us at the bar;-)
>                                     Cheers three!
>                                     Martin
>
>                                     Verstuurd vanaf mijn iPhone
>
>                                     Op 24 mei 2015 om 15:56 heeft John
>                                     Duffield
>                                     <johnduffield at btconnect.com
>                                     <mailto:johnduffield at btconnect.com>>
>                                     het volgende geschreven:
>
>                                         Chip:
>                                         I’m blue, you’re black:
>                                         As all of you know, after
>                                         Relativity was introduced and
>                                         adopted, the popular belief
>                                         for a while, was that space
>                                         was empty, and that a media of
>                                         space was not required. Now
>                                         however it seems that most
>                                         physicists have accepted that
>                                         space is a media, with quantum
>                                         attributes, and some level of
>                                         energy density.
>                                         That popular belief was a
>                                         cargo-cult false belief,
>                                         because Einstein made it clear
>                                         in his 1920  Leyden Address
>                                         that space was the “aether” of
>                                         general relativity. He made it
>                                         clear that space was not some
>                                         emptiness, but instead was a
>                                         thing that is “conditioned” by
>                                         a massive body such as a star.
>                                         If space is a media, what
>                                         would we perceive which is
>                                         different from space being empty?
>                                         That popular belief was a
>                                         cargo-cult belief, because
>                                         Einstein made it clear in his
>                                         1920 Leyden Address
>                                         <http://einsteinpapers.press.princeton.edu/vol7-trans/192?highlightText=%22neither%20homogeneous%22>that
>                                         space was the “aether” of
>                                         general relativity, and space
>                                         was not empty.
>                                         Some would say there is no
>                                         perceptible difference. But is
>                                         that precisely true?
>                                         No. Like Einstein said in1929
>                                         <http://www.rain.org/%7Ekarpeles/einsteindis.html>,
>                                         a field is a state of space.
>                                         If space is a media, it
>                                         implies a preferred reference
>                                         frame in space.  This is an
>                                         item which would be difficult,
>                                         or perhaps impossible to
>                                         detect, but for one item. If
>                                         space is a media with a
>                                         preferred reference frame,
>                                         then clocks in that reference
>                                         frame would be the fastest
>                                         clocks possible in the universe.
>                                         There’s also theCMB reference
>                                         frame
>                                         <http://en.wikipedia.org/wiki/Cosmic_microwave_background#CMBR_dipole_anisotropy>.
>                                         It’s preferred in that it
>                                         tells you your speed through
>                                         the universe. And whilst it
>                                         isn’t an absolute frame in the
>                                         strict sense, the universe is
>                                         as absolute as it gets.
>                                         One thing which would alter
>                                         the ability to test this is a
>                                         gross frame dragging of space
>                                         around massive bodies or
>                                         concentrations of mass.
>                                         Seethe asymmetric Kerr metric
>                                         as a source of CP violation
>                                         <http://www2.warwick.ac.uk/newsandevents/pressreleases/galaxy_sized_twist/>.
>                                         It’s to do with galactic
>                                         frame-dragging.
>                                         If space is a media, and if
>                                         frame dragging does occur
>                                         It’s a popscience myth that it
>                                         isn’t a medium,
>                                         electromagnetic waves do not
>                                         propagate because an electric
>                                         wave creates a magnetic wave
>                                         and vice versa. I’m confident
>                                         that frame dragging does
>                                         occur, and that the electron
>                                         electromagnetic field is a
>                                         fierce example of it.
>                                         *A definition of TIME is the
>                                         underlying objective of this
>                                         line of questions.* For I see
>                                         two possibilities, one is that
>                                         time is an inherent property
>                                         of space and, as the current
>                                         relativity teaches, a fourth
>                                         dimension in our “spacetime”.
>                                          The other is that time is
>                                         simply the rate at which
>                                         particles can interact, caused
>                                         by the fact that fields can
>                                         only propagate at a finite
>                                         velocity, and that we are made
>                                         of particles which are
>                                         circularly confined fields.
>                                         I feel the first explanation
>                                         is less likely because it does
>                                         not show cause, it does not
>                                         tell us why time is part of
>                                         space, just that it is.  The
>                                         second explanation is the one
>                                         I currently prefer because it
>                                         is a simple consequence of the
>                                         nature of space and particles,
>                                         it shows cause.
>                                         I prefer it too, and so did
>                                         Einstein. SeeTime Explained
>                                         <http://www.physicsdiscussionforum.org/time-explained-t3.html>andA
>                                         World Without Time: the
>                                         forgotten legacy of Godel and
>                                         Einstein
>                                         <http://www.amazon.co.uk/World-without-Time-Forgotten-Einstein/dp/0465092942>.
>                                         Is time truly a fourth
>                                         dimension at the lowest level
>                                         of analysis of space?
>                                         No. We live in a world of
>                                         space and motion. Our time
>                                         dimension is derived from
>                                         motion. It’s a dimension in
>                                         the sense of measure, not in
>                                         the sense of freedom of motion.
>                                         Regards
>                                         John D
>                                         *From:*General
>                                         [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                                         Behalf Of*Chip Akins
>                                         *Sent:*24 May 2015 14:24
>                                         *To:*'Nature of Light and
>                                         Particles - General Discussion'
>                                         *Subject:*Re: [General]
>                                         Electron Torus
>                                         Hi All
>                                         We are working on the
>                                         foundations of physics.
>                                         Studying and trying to
>                                         decipher the result of
>                                         experiment in a causal manner.
>                                         As we do that it keeps
>                                         bringing me back to the nature
>                                         of space itself. John M has
>                                         made some good points about
>                                         starting from the makeup of
>                                         space and working our way up
>                                         from there.  John D has
>                                         communicated a solid and basic
>                                         approach to many of the
>                                         issues.  Many of us have
>                                         proposed models, field
>                                         formulations, and a host of
>                                         other possible explanations
>                                         for what we observe.
>                                         As we reflect on what we have
>                                         done and what we still need to
>                                         do, there are some things
>                                         which may still need to be
>                                         addressed and answered before
>                                         we can make progress in
>                                         certain areas.
>                                         For example, the nature of
>                                         space and time, are
>                                         fundamental to understanding
>                                         physics.  Some of us feel we
>                                         have a reasonable handle on
>                                         this, and it is a very basic
>                                         part of what we are doing, but
>                                         I am thinking that we do not
>                                         yet have it quite right. For
>                                         the endeavor we have
>                                         undertaken, I think close is
>                                         not good enough.
>                                         First I want to state clearly
>                                         that I do not yet propose to
>                                         have the answers to the nature
>                                         of space, all I have is
>                                         conjecture so far.
>                                         As all of you know, after
>                                         Relativity was introduced and
>                                         adopted, the popular belief
>                                         for a while, was that space
>                                         was empty, and that a media of
>                                         space was not required. Now
>                                         however it seems that most
>                                         physicists have accepted that
>                                         space is a media, with quantum
>                                         attributes, and some level of
>                                         energy density.
>                                         However many of the subtle
>                                         suggestions engendered during
>                                         that time when it was
>                                         perceived that space was
>                                         empty, and much of the
>                                         “foundation” of relativity is
>                                         still based on there being no
>                                         media which constitutes space.
>                                         If space is a media, what
>                                         would we perceive which is
>                                         different from space being
>                                         empty? Some would say there is
>                                         no perceptible difference. But
>                                         is that precisely true?
>                                         If space is a media, it
>                                         implies a preferred reference
>                                         frame in space.  This is an
>                                         item which would be difficult,
>                                         or perhaps impossible to
>                                         detect, but for one item.
>                                         If space is a media with a
>                                         preferred reference frame,
>                                         then clocks in that reference
>                                         frame would be the fastest
>                                         clocks possible in the
>                                         universe. All clocks in all
>                                         other inertial frames would be
>                                         slower. One thing which would
>                                         alter the ability to test this
>                                         is a gross frame dragging of
>                                         space around massive bodies or
>                                         concentrations of mass.
>                                         It seems that relativity has
>                                         been tested with regards to
>                                         the slowing of clocks with
>                                         relative velocity to a
>                                         precision of about 1.6% to 10%
>                                         depending on which experiments
>                                         you prefer. But of course
>                                         these tests are at low
>                                         relative velocities and only
>                                         represent a narrow prat of the
>                                         spectrum of tests which would
>                                         be required to absolutely
>                                         validate the entire curve. And
>                                         an error of 1.6% is still a
>                                         substantial error for this
>                                         type of validation.
>                                         If space is a media, and if
>                                         frame dragging does occur,
>                                         again it would be difficult to
>                                         verify the existence of the
>                                         media using clocks, depending
>                                         on how much frame dragging
>                                         there is. If space is a media,
>                                         how can we calculate the frame
>                                         dragging and quantify it?
>                                         *A definition of TIME is the
>                                         underlying objective of this
>                                         line of questions.* For I see
>                                         two possibilities, one is that
>                                         time is an inherent property
>                                         of space and, as the current
>                                         relativity teaches, a fourth
>                                         dimension in our “spacetime”.
>                                          The other is that time is
>                                         simply the rate at which
>                                         particles can interact, caused
>                                         by the fact that fields can
>                                         only propagate at a finite
>                                         velocity, and that we are made
>                                         of particles which are
>                                         circularly confined fields.
>                                         I feel the first explanation
>                                         is less likely because it does
>                                         not show cause, it does not
>                                         tell us why time is part of
>                                         space, just that it is.  The
>                                         second explanation is the one
>                                         I currently prefer because it
>                                         is a simple consequence of the
>                                         nature of space and particles,
>                                         it shows cause.
>                                         One thing I think we must
>                                         remember as we construct a
>                                         physical model is that we are
>                                         dealing with the fundamentals
>                                         and foundations, the building
>                                         blocks so to speak, and in
>                                         that endeavor we will probably
>                                         find instances where a
>                                         phenomenon like the definition
>                                         of time, or the definition of
>                                         charge, or the definition of
>                                         spin, is not the same at the
>                                         micro level as it is at our
>                                         macro observable level. If we
>                                         do our job well we will
>                                         discover the causes and
>                                         sources of many of these types
>                                         of phenomena. At levels below
>                                         the causal level for any of
>                                         these phenomena, the macro
>                                         rules no longer apply in full.
>                                         After saying that, a question
>                                         would naturally arise, if time
>                                         as we measure it is merely the
>                                         result of the interaction of
>                                         particles, how and when do we
>                                         incorporate the dimension of
>                                         time in our calculations? Is
>                                         the development of time at
>                                         such a low level that we
>                                         should include it in all
>                                         calculations, just as
>                                         relativity teaches? Or does
>                                         time come into play only at
>                                         the particle level, and the
>                                         finite velocity of light
>                                         predominates at lower levels?
>                                         Is time truly a fourth
>                                         dimension at the lowest level
>                                         of analysis of space? Or does
>                                         it just appear to be that way
>                                         from our perspectives due to
>                                         the nature of our particulate
>                                         construction and measurements?
>                                         Any and all opinion and
>                                         argument is eagerly
>                                         appreciated. If you could
>                                         please let me know your take
>                                         on this and the reasons you
>                                         feel that way I will be grateful.
>                                         Chip
>                                         *From:*General
>                                         [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                                         Behalf Of*John Williamson
>                                         *Sent:*Friday, May 22, 2015
>                                         8:02 AM
>                                         *To:*Nature of Light and
>                                         Particles - General Discussion
>                                         *Subject:*Re: [General]
>                                         Electron Torus
>                                         Hello Chip,
>
>                                         Have been meaning to say for
>                                         some time: you are producing
>                                         some beautiful models.
>
>                                         Would be good to talk at some
>                                         stage.
>
>                                         Regards. John (W)
>                                         ------------------------------------------------------------------------
>                                         *From:*General
>                                         [general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org
>                                         <mailto:general-bounces+john.williamson=glasgow.ac.uk at lists.natureoflightandparticles.org>]
>                                         on behalf of Chip Akins
>                                         [chipakins at gmail.com
>                                         <mailto:chipakins at gmail.com>]
>                                         *Sent:*Friday, May 22, 2015
>                                         1:59 PM
>                                         *To:*'Nature of Light and
>                                         Particles - General Discussion'
>                                         *Subject:*Re: [General]
>                                         Electron Torus
>                                         Hi Richard
>                                         Sorry I was modeling what I
>                                         though was the spin 1 photon
>                                         model of the electron.
>                                         This is what I perceive to be
>                                         your spin ½ photon model of
>                                         the electron to be with
>                                         velocity. Same velocity steps
>                                         as before.
>                                         Nested set of models,
>                                         <image001.png>
>                                         Slow trajectory lines, purple,
>                                         faster trajectory lines
>                                         tending toward green.
>                                         Here is the code for the
>                                         electron’s reference frame for
>                                         the above graphic:
>                                         X(ii)=Roc*(1/y^2+(1/y)*cosd(y*c*(t)/Roc))*cosd(y*c*(t)/Roc);
>                                         Y(ii)=Roc*(1/y^2+(1/y)*cosd(y*c*(t)/Roc))*sind(y*c*(t)/Roc);
>                                         Z(ii)=(Roc/y)*sind(y*c*(t)/Roc);
>                                         Note: there is still a very
>                                         small electron model (with
>                                         velocity 0.9988c) at the
>                                         center of this graphic. In
>                                         this model the contraction is
>                                         in all directions, not just
>                                         longitudinally. I think this
>                                         is correct, but it does not
>                                         agree with some
>                                         interpretations of relativity.
>                                         It is also difficult to see
>                                         how this model, without spiral
>                                         fields, would look the same to
>                                         a moving observer when the
>                                         electron is “at rest”.
>                                         And the model is of course not
>                                         really spherical.
>                                         Does this match your results?
>                                         Can you share the graphics
>                                         model you have done?
>                                         Chip
>                                         *From:*General
>                                         [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                                         Behalf Of*Richard Gauthier
>                                         *Sent:*Friday, May 22, 2015
>                                         7:31 AM
>                                         *To:*Nature of Light and
>                                         Particles - General Discussion
>                                         *Subject:*Re: [General]
>                                         Electron Torus
>                                         John D., Chip and Andrew,
>                                          Isn’t it the case that in
>                                         standard physics
>                                         (experimentally confirmed) the
>                                         measured spin of an electron
>                                         is relative to the motion of
>                                         the observer of the electron,
>                                         just as the observed momentum
>                                         of an electron is relative to
>                                         the motion of the observer of
>                                         the electron? If an observer
>                                         moving west to east with a
>                                         relativistic velocity v1
>                                          passes a “stationary”
>                                         electron (in some reference
>                                         frame) , the electron has an
>                                         observed momentum (when it
>                                         measured) going west, and a
>                                         spin either up or down (when
>                                         it is measured) in the
>                                         east-west direction  and a de
>                                         Broglie wavelength
>                                         corresponding to the relative
>                                         velocity v1, while when an
>                                         observer moving
>                                         relativistically south to
>                                         north with velocity v2 passes
>                                         a “stationary" electron , the
>                                         electron has an observed
>                                         momentum (when it is measured)
>                                         going south, a spin that is up
>                                         or down (when it is measured)
>                                         in the north-south direction,
>                                         and a de Broglie wavelength
>                                         corresponding to its relative
>                                         velocity v2. (In QM,
>                                          velocity, spin and de Broglie
>                                         wavelength probably can’t all
>                                         be measured at the same time).
>                                         The relativistic
>                                         energy-momentum equation for
>                                         the electron E^2 = p^2 c^2 +
>                                         m^2 c^4 applies to the
>                                         electron described above when
>                                         observed by two observers with
>                                         two different relativistic
>                                         velocities compared to the
>                                         electron. I showed in my
>                                         article “the electron is a
>                                         charged photon with the de
>                                         Broglie wavelength” that the
>                                         same relativistic
>                                         energy-momentum equation
>                                         applies to a helically moving
>                                         double-looping photon that may
>                                         compose an electron, where E
>                                         is the energy of the photon
>                                         (the same as the total energy
>                                         of the electron composed by
>                                         the photon), p is the
>                                         longitudinal momentum of the
>                                         helically moving photon (the
>                                         same as the momentum p of the
>                                         electron being modeled), E/c
>                                         is the total momentum of the
>                                         photon along its helical path,
>                                         and mc is the transverse
>                                         momentum of the helically
>                                         moving photon, which
>                                         contributes to the electron’s
>                                         spin up or spin down value
>                                         hbar/2 in the case of a slow
>                                         moving electron (modeled by
>                                         the double-looping photon). So
>                                         every electron observed to
>                                         have a momentum p will in this
>                                         view also have a spin hbar/2
>                                         up or down in the direction of
>                                         its momentum.
>                                         Also, when a photon is Doppler
>                                         shifted-due to relative motion
>                                         of the light source away from
>                                         or towards the observer, the
>                                         observed wavelength of the
>                                         photon is lengthened or
>                                         shortened accordingly. Doesn’t
>                                         this imply that the length of
>                                         the whole photon (if it
>                                         consists of a certain number
>                                         of wavelengths) is also
>                                         lengthened or shortened
>                                         accordingly?
>                                         Richard
>
>                                             On May 22, 2015, at 12:06
>                                             AM, John Duffield
>                                             <johnduffield at btconnect.com <mailto:johnduffield at btconnect.com>>
>                                             wrote:
>                                             David:
>                                             Why don’t photons get
>                                             length contracted? Because
>                                             they’re just waves in
>                                             space moving at the speed
>                                             of waves in space. A
>                                             ripple in a rubber mat
>                                             doesn’t get length
>                                             contracted, nor do waves
>                                             in space. Then when you
>                                             make those waves go round
>                                             and round, they still
>                                             don’t get
>                                             length-contracted. Then
>                                             when you move past them
>                                             fast, they still don’t get
>                                             length contracted. You
>                                             might say the path of
>                                             those waves is different,
>                                             but it isn’t, they didn’t
>                                             change, you did. And if
>                                             you boil yourself down to
>                                             a single electron, and
>                                             boil that down to a ring,
>                                             then draw circles and
>                                             helixes, I think it gets
>                                             to the bottom of things.
>                                             Chip:
>                                             Yes, I’m certain relative
>                                             velocity is a determining
>                                             factor.  But note that
>                                             “we” are made of electrons
>                                             and things, so IMHO it’s
>                                             best to start with two
>                                             particles, such as the
>                                             electron and the positron.
>                                             If you set them down with
>                                             no initial relative motion
>                                             they move linearly
>                                             together, and we talk of
>                                             electric force.
>                                             <image005.jpg>
>                                             However if you threw the
>                                             postiron over the top of
>                                             the electron they’d move
>                                             together and go around one
>                                             another, whereupon we talk
>                                             of magnetic force. Note
>                                             that this is relative
>                                             velocity, not relativistic
>                                             velocity. I’ve seen
>                                             peopleexplain the magnetic
>                                             field around the
>                                             current-in-the-wire using
>                                             length contraction
>                                             <http://physics.stackexchange.com/questions/65335/how-do-moving-charges-produce-magnetic-fields>,
>                                             but IMHO that’s a fairy
>                                             tale, and I prefer
>                                             a“screw” answer
>                                             <http://physics.stackexchange.com/questions/184055/atomic-explanation-of-magnetic-field/184079?noredirect=1#comment388570_184079>.
>
>                                             Regards
>                                             John D
>                                             *From:*General
>                                             [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                                             Behalf Of*Chip Akins
>                                             *Sent:*21 May 2015 21:39
>                                             *To:*'Nature of Light and
>                                             Particles - General
>                                             Discussion'
>                                             *Subject:*Re: [General]
>                                             Electron Torus
>                                             Hi John D
>                                             Regarding…
>                                             Sorry, I don’t think that
>                                             can be right because you
>                                             could go past an electron
>                                             at .9988c.
>                                             Yes, I am coming to think
>                                             that maybe the spiral
>                                             fields caused by limited
>                                             field propagation
>                                             velocity, might play a
>                                             larger role than I had
>                                             first considered.
>                                             I think Martin was onto
>                                             this aspect already.
>                                             Wondering if relative
>                                             velocity is a factor in
>                                             determining what portion
>                                             of the spiral field we
>                                             detect or interact with?
>                                             And if so, how that might
>                                             work.
>                                             <image006.png>
>                                             The earlier electron model
>                                             graphics are created from
>                                             the math that Richard
>                                             developed for his spin ½
>                                             electron.
>                                             Chip
>                                             *From:*General
>                                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                                             Behalf Of*John Duffield
>                                             *Sent:*Thursday, May 21,
>                                             2015 3:15 PM
>                                             *To:*'Nature of Light and
>                                             Particles - General
>                                             Discussion'
>                                             *Subject:*Re: [General]
>                                             Electron Torus
>                                             Chip:
>                                             Sorry, I don’t think that
>                                             can be right because you
>                                             could go past an electron
>                                             at .9988c.
>                                             Andrew:
>                                             Photons don’t get length
>                                             contracted, and electrons
>                                             are made out of photons in
>                                             pair production. If you
>                                             simplify the electron to a
>                                             photon going round in a
>                                             circle, then take one
>                                             point on the
>                                             circumference, you would
>                                             say it describes a
>                                             circular path. But when
>                                             you move past the electron
>                                             fast, you would say that
>                                             point was describing a
>                                             helical path. Then when
>                                             you consider all points of
>                                             the circumference, you
>                                             might say the electron was
>                                             a cylinder rather than a
>                                             circle. And if
>                                             you/were/that electron,
>                                             everything to you would
>                                             look length-contracted,
>                                             because you’re smeared
>                                             out. If I was a motionless
>                                              electron you’d say I was
>                                             length contracted. But I
>                                             might say/I/was the one
>                                             moving, and
>                                             that/you’re/length-contracted.
>
>                                             Regards
>                                             John
>                                             *From:*General
>                                             [mailto:general-bounces+johnduffield=btconnect.com at lists.natureoflightandparticles.org]*On
>                                             Behalf Of*Chip Akins
>                                             *Sent:*21 May 2015 17:52
>                                             *To:*'Nature of Light and
>                                             Particles - General
>                                             Discussion'
>                                             *Subject:*Re: [General]
>                                             Electron Torus
>                                             Hi Andrew
>                                             Images from the electron’s
>                                             reference frame.
>                                             For Richard’s model using
>                                             the spin 1 photon, and
>                                             drawing in the electron’s
>                                             reference frame, his math
>                                             produces the following
>                                             image for a set of nested
>                                             electron models with
>                                             velocities up to 0.9988c.
>                                             <image007.png>
>                                             The small grey sphere in
>                                             the center is the electron
>                                             model for 0.9988c.
>                                             So in this model the
>                                             electron shrinks in all
>                                             directions, but remains
>                                             principally spherical when
>                                             viewed from the electron’s
>                                             reference frame.
>                                             Chip
>                                             *From:*General
>                                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]*On
>                                             Behalf Of*Andrew Meulenberg
>                                             *Sent:*Thursday, May 21,
>                                             2015 11:15 AM
>                                             *To:*Nature of Light and
>                                             Particles - General
>                                             Discussion; Andrew Meulenberg
>                                             *Subject:*Re: [General]
>                                             Electron Torus
>                                             Dear Chip,
>                                             I learn something new
>                                             every time. However, it
>                                             may not be true.
>                                             If I interpret your images
>                                             properly, the fastest
>                                             electrons are the longest.
>                                             However, relativistic
>                                             shortening should shrink
>                                             the length. I had expected
>                                             the electron to 'pancake'
>                                             in the direction of
>                                             motion. You show the
>                                             opposite. Is the pancake
>                                             only in the electron's
>                                             frame and the appearance
>                                             from our frame is one of
>                                             an extended structure? If
>                                             both, do they cancel and,
>                                             in reality, it is still
>                                             spherical?
>                                             Andrew
>                                             On Thu, May 21, 2015 at
>                                             7:36 PM, Chip Akins
>                                             <chipakins at gmail.com
>                                             <mailto:chipakins at gmail.com>>
>                                             wrote:
>
>                                                 Hi Richard
>                                                 So it is a bit more
>                                                 difficult to visualize
>                                                 exactly what is going
>                                                 on from the graphics
>                                                 with velocity.
>                                                 We increase the
>                                                 velocity is in steps
>                                                 from*zero through
>                                                 0.9988c.*
>                                                 From the Z axis the
>                                                 illustration looks like:
>                                                 <image008.jpg>
>                                                 Showing the reduced
>                                                 radius with velocity.
>                                                 But when we look at
>                                                 the model slightly off
>                                                 axis (Z axis) we see this:
>                                                 <image009.jpg>
>                                                 So this is a set of
>                                                 nested electron models
>                                                 with different
>                                                 velocities, each
>                                                 starting from the same
>                                                 point (upper right of
>                                                 the illustration).
>                                                 These are drawn from
>                                                 an external observers
>                                                 frame and are not
>                                                 shown in the
>                                                 electron’s reference
>                                                 frame.
>                                                 In the electron’s
>                                                 reference frame we
>                                                 would see closure to
>                                                 the trajectory, but in
>                                                 this reference frame,
>                                                 the trajectory (since
>                                                 it is moving) is not
>                                                 closed.
>                                                 Chip
>                                                 *From:*General
>                                                 [mailto:general-bounces+chipakins
>                                                 <mailto:general-bounces%2Bchipakins>=gmail.com at lists.natureoflightandparticles.org
>                                                 <mailto:gmail.com at lists.natureoflightandparticles.org>]*On
>                                                 Behalf Of*Richard Gauthier
>                                                 *Sent:*Thursday, May
>                                                 21, 2015 6:29 AM
>
>                                                 *To:*Nature of Light
>                                                 and Particles -
>                                                 General Discussion
>                                                 *Subject:*Re:
>                                                 [General] Electron Torus
>                                                 Chip,
>                                                  Please correct a
>                                                 couple of typos in my
>                                                 last email. The TEQ
>                                                 (transluminal energy
>                                                 quantum) moves on the
>                                                 surface of a torus,
>                                                 not a helix. Also the
>                                                 first helical radius
>                                                 mentioned should have
>                                                 been Ro sqrt(2) =
>                                                 1.414 Ro , not Ro
>                                                 sqrt(2)/2 = 1.414 Ro
>                                                 since sort(2)/2 =
>                                                 0.707 not 1.414 . Thanks.
>                                                   Richard
>
>                                                     On May 20, 2015,
>                                                     at 6:42 PM,
>                                                     Richard Gauthier
>                                                     <richgauthier at gmail.com
>                                                     <mailto:richgauthier at gmail.com>>
>                                                     wrote:
>                                                     Chip,
>                                                        Nice graphics!
>                                                       Shouldn’t the
>                                                     electric field
>                                                     lines of an
>                                                     electron at some
>                                                     distance from the
>                                                     electron model be
>                                                     pointing inward
>                                                     linearly towards
>                                                     the electron from
>                                                     infinity on all
>                                                     sides, since the
>                                                     electron's
>                                                     electric field
>                                                     (due to its
>                                                     electric charge)
>                                                     falls off as 1/r^2
>                                                     . I don’t
>                                                     understand why the
>                                                     electric field
>                                                     lines appear
>                                                     closed in your
>                                                     diagrams.
>                                                       In my original
>                                                     resting electron
>                                                     model the TEQ was
>                                                     a circulating
>                                                     negative electric
>                                                     charge which
>                                                     circulated on the
>                                                     surface of a
>                                                     helix. I called
>                                                     the circulating
>                                                     TEQ a photon-like
>                                                     object since it
>                                                     was similar to my
>                                                     TEQ model of a
>                                                     photon.  I was
>                                                     assuming at that
>                                                     time that the
>                                                     photon in my
>                                                     resting electron
>                                                     model had spin 1,
>                                                     even though I had
>                                                     adjusted the
>                                                     helical radius so
>                                                     that the
>                                                     circulating TEQ
>                                                     generated the
>                                                     magnetic moment of
>                                                     the electron of 1
>                                                     Bohr magneton,
>                                                     requiring a
>                                                     helical radius for
>                                                     the TEQ of Ro
>                                                     sqrt(2)/2 = 1.414
>                                                     Ro which created
>                                                     the spindle torus
>                                                     in my model . So
>                                                     this was actually
>                                                     neither a spin 1
>                                                     photon (whose
>                                                     radius for a
>                                                     resting electron
>                                                     would have been
>                                                     2Ro, or a spin 1/2
>                                                     photon, whose
>                                                     radius for a
>                                                     resting electron
>                                                     would be Ro, as in
>                                                     the 3D models that
>                                                     you and I
>                                                     generated from the
>                                                     moving electron
>                                                     equations I
>                                                     proposed. Since I
>                                                     currently prefer
>                                                     the model of an
>                                                     electron composed
>                                                     of a spin 1/2
>                                                     circulating
>                                                     photon, this
>                                                     doesn’t generate
>                                                     the electron’s
>                                                     magnetic moment of
>                                                     1 Bohr magneton.
>                                                     But it generates a
>                                                     magnetic moment
>                                                     more than 1/2 Bohr
>                                                     magneton which
>                                                     would be produced
>                                                     by a charge
>                                                     circulating at
>                                                     light speed in a
>                                                     simple double loop
>                                                     of radius Ro. I
>                                                     haven’t done the
>                                                     calculation for
>                                                     the magnetic
>                                                     moment generated
>                                                     by my spin 1/2
>                                                     photon model of
>                                                     the electron, but
>                                                     I suspect that it
>                                                     would be 0.707
>                                                     Bohr magneton
>                                                     (just a guess at
>                                                     this point). The
>                                                     calculation of
>                                                     this magnetic
>                                                     moment from the
>                                                     TEQ trajectory
>                                                     equations for a
>                                                     charged TEQ in the
>                                                     spin 1/2 photon
>                                                     model is
>                                                     relatively
>                                                     straightforward
>                                                     though.
>                                                       By the way, have
>                                                     you looked at the
>                                                     side view of the
>                                                     actual TEQ
>                                                     trajectory at
>                                                     various values of
>                                                     v/c of the
>                                                     electron in the
>                                                     spin 1/2 photon
>                                                     moving-electron
>                                                     model that I
>                                                     proposed (and that
>                                                     you programmed and
>                                                     graphed in 3D to
>                                                     show how the model
>                                                     size changes as
>                                                     1/gamma at various
>                                                     values of v/c)?
>                                                     The side view of
>                                                     the TEQ trajectory
>                                                     for a moving
>                                                     electron contains
>                                                     some surprises, at
>                                                     least for me. I
>                                                     thought that at
>                                                     high values of v/c
>                                                     (say 0.99 or
>                                                     0.999) the TEQ
>                                                     would just appear
>                                                     from the side view
>                                                     to rotate
>                                                     helically around
>                                                     its reducing and
>                                                     increasingly more
>                                                     linear helical
>                                                     trajectory  (whose
>                                                     trajectory reduces
>                                                     as 1/(gamma^2),
>                                                     with the TEQ’s
>                                                     helical radius
>                                                     reducing as
>                                                     1/gamma. But
>                                                     that’s apparently
>                                                     not what happens.
>                                                     Could you check
>                                                     this with your 3D
>                                                     program?
>                                                        Richard
>
>                                                         On May 19,
>                                                         2015, at 8:45
>                                                         AM, Chip Akins
>                                                         <chipakins at gmail.com
>                                                         <mailto:chipakins at gmail.com>>
>                                                         wrote:
>                                                         Hi Richard
>                                                         If your spin 1
>                                                         photon model
>                                                         of the
>                                                         electron is
>                                                         similar to
>                                                         John W and
>                                                         Martin’s model
>                                                         in that the
>                                                         field lines
>                                                         always orient
>                                                         with the
>                                                         negative end
>                                                         outwards
>                                                         (providing for
>                                                         charge) the
>                                                         estimated
>                                                         field
>                                                         distribution
>                                                         is similar to
>                                                         this
>                                                         illustration.
>                                                         (Equatorial View)
>                                                         <image001.jpg>
>                                                         (Top View from
>                                                         Z axis)
>                                                         <image002.jpg>
>                                                         (45 degree
>                                                         elevation view)
>                                                         <image004.jpg>
>                                                         Red lines
>                                                         represent
>                                                         negative ends
>                                                         of field
>                                                         lines, Blue
>                                                         lines
>                                                         represent
>                                                         positive,
>                                                         black is the
>                                                         transport
>                                                         radius, faint
>                                                         green line is
>                                                         one
>                                                         circulation at
>                                                         the transport
>                                                         radius.
>                                                         Photon field
>                                                         amplitude is
>                                                         shown as a
>                                                         cosine
>                                                         function of
>                                                         wavelength/2.
>                                                         Chip
>                                                         *From:* General [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]
>                                                         *On Behalf Of
>                                                         *Richard Gauthier
>                                                         *Sent:* Tuesday,
>                                                         May 05, 2015
>                                                         10:06 AM
>                                                         *To:* Nature
>                                                         of Light and
>                                                         Particles -
>                                                         General Discussion
>                                                         *Subject:* Re:
>                                                         [General]
>                                                         Electron Torus
>                                                         Chip,
>                                                          Perfect! It
>                                                         would also be
>                                                         good to have
>                                                         the pair of
>                                                         tori seen an
>                                                         an angle from
>                                                         above their
>                                                         ‘equator’ to
>                                                         get a more 3-D
>                                                         quality.
>                                                             Richard
>
>                                                             On May 5,
>                                                             2015, at
>                                                             6:07 AM,
>                                                             Chip Akins
>                                                             <chipakins at gmail.com
>                                                             <mailto:chipakins at gmail.com>>
>                                                             wrote:
>                                                             Hi Richard
>                                                             How do
>                                                             these look?
>                                                             <image003.png>
>                                                             <image001.jpg>
>                                                             Chip
>                                                             *From:* General
>                                                             [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]
>                                                             *On Behalf
>                                                             Of
>                                                             *Richard
>                                                             Gauthier
>                                                             *Sent:* Monday,
>                                                             May 04,
>                                                             2015 1:18 PM
>                                                             *To:* Nature
>                                                             of Light
>                                                             and
>                                                             Particles
>                                                             - General
>                                                             Discussion
>                                                             *Subject:* Re:
>                                                             [General]
>                                                             Electron Torus
>                                                             Hi Chip,
>                                                             The radius
>                                                             of the
>                                                             circle in
>                                                             the horn
>                                                             torus
>                                                             (spin 1/2
>                                                             photon
>                                                             model)
>                                                             should
>                                                             visually
>                                                             be (since
>                                                             it is
>                                                             actually)
>                                                             1/2 of the
>                                                             radius of
>                                                             the circle
>                                                             in the
>                                                             spindle
>                                                             torus
>                                                             (spin 1
>                                                             photon
>                                                             model) --
>                                                             the spin
>                                                             1/2 photon
>                                                             model is
>                                                             smaller
>                                                             than the
>                                                             spin 1
>                                                             photon
>                                                             model.
>                                                             Thanks!
>                                                             And could
>                                                             you
>                                                             perhaps
>                                                             show the
>                                                             energy
>                                                             quantum
>                                                             trajectory
>                                                             in a
>                                                             different
>                                                             color that
>                                                             the torus
>                                                             background
>                                                             so the
>                                                             trajectory
>                                                             stands out
>                                                             better?
>                                                               Richard
>                                                             On Mon,
>                                                             May 4,
>                                                             2015 at
>                                                             10:42 AM,
>                                                             Chip Akins
>                                                             <chipakins at gmail.com
>                                                             <mailto:chipakins at gmail.com>>
>                                                             wrote:
>
>                                                                 Hi Richard
>                                                                 <image004.png>
>                                                                 <image005.png>
>                                                                 Chip
>                                                                 *From:* General
>                                                                 [mailto:general-bounces+chipakins
>                                                                 <mailto:general-bounces%2Bchipakins>=gmail.com at lists.natureoflightandparticles.org
>                                                                 <mailto:gmail.com at lists.natureoflightandparticles.org>]
>                                                                 *On
>                                                                 Behalf
>                                                                 Of
>                                                                 *Richard
>                                                                 Gauthier
>                                                                 *Sent:* Monday,
>                                                                 May
>                                                                 04,
>                                                                 2015
>                                                                 12:19 PM
>                                                                 *To:* Nature
>                                                                 of
>                                                                 Light
>                                                                 and
>                                                                 Particles
>                                                                 -
>                                                                 General Discussion
>                                                                 *Subject:* Re:
>                                                                 [General]
>                                                                 Electron
>                                                                 Torus
>                                                                 Hi Chip,
>                                                                  Thanks.
>                                                                 And
>                                                                 finally,
>                                                                 the
>                                                                 vertical
>                                                                 ovals
>                                                                 of the
>                                                                 tori
>                                                                 should
>                                                                 be
>                                                                 circles because
>                                                                 the
>                                                                 circulating
>                                                                 quantum has
>                                                                 the
>                                                                 same
>                                                                 radius
>                                                                 in the
>                                                                 vertical
>                                                                 and
>                                                                 horizontal
>                                                                 directions.
>                                                                      
>                                                                 Richard
>
>                                                                     On
>                                                                     May 4,
>                                                                     2015,
>                                                                     at
>                                                                     9:32
>                                                                     AM, Chip
>                                                                     Akins
>                                                                     <chipakins at gmail.com
>                                                                     <mailto:chipakins at gmail.com>>
>                                                                     wrote:
>                                                                     Hi
>                                                                     Richard
>                                                                     Thank
>                                                                     you.
>                                                                     Here
>                                                                     you go:
>                                                                     <image001.png>
>                                                                     <image002.png>
>                                                                     Chip
>                                                                     *From:* General
>                                                                     [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]
>                                                                     *On Behalf
>                                                                     Of
>                                                                     *Richard
>                                                                     Gauthier
>                                                                     *Sent:* Monday,
>                                                                     May 04,
>                                                                     2015
>                                                                     10:43
>                                                                     AM
>                                                                     *To:* Nature
>                                                                     of
>                                                                     Light
>                                                                     and Particles
>                                                                     -
>                                                                     General
>                                                                     Discussion
>                                                                     *Subject:* Re:
>                                                                     [General]
>                                                                     Electron
>                                                                     Torus
>                                                                     Hi
>                                                                     Chip,
>                                                                     Both
>                                                                     tori
>                                                                     should
>                                                                     be
>                                                                     symmetrical
>                                                                     above
>                                                                     and below
>                                                                     the z-axis
>                                                                     and center
>                                                                     on
>                                                                     z=0.
>                                                                      
>                                                                      
>                                                                     Richard
>
>                                                                         On
>                                                                         May
>                                                                         4,
>                                                                         2015,
>                                                                         at
>                                                                         8:16
>                                                                         AM,
>                                                                         Chip
>                                                                         Akins
>                                                                         <chipakins at gmail.com
>                                                                         <mailto:chipakins at gmail.com>>
>                                                                         wrote:
>                                                                         Hi
>                                                                         Richard
>                                                                         <image001.jpg>
>                                                                         Viewed
>                                                                         from
>                                                                         the
>                                                                         Z axis:
>                                                                         <image002.jpg>
>                                                                         And
>                                                                         from
>                                                                         the
>                                                                         equatorial
>                                                                         plane:
>                                                                         <image003.jpg>
>                                                                         Chip
>                                                                         *From:* General
>                                                                         [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org]
>                                                                         *On
>                                                                         Behalf
>                                                                         Of
>                                                                         *Richard
>                                                                         Gauthier
>                                                                         *Sent:* Sunday,
>                                                                         May
>                                                                         03,
>                                                                         2015
>                                                                         11:07
>                                                                         PM
>                                                                         *To:* Nature
>                                                                         of
>                                                                         Light
>                                                                         and
>                                                                         Particles
>                                                                         - General
>                                                                         Discussion
>                                                                         *Subject:* Re:
>                                                                         [General]
>                                                                         position
>                                                                         Chip
>                                                                         and
>                                                                         all,
>                                                                          Here
>                                                                         are
>                                                                         some
>                                                                         equations
>                                                                         that
>                                                                         relate
>                                                                         to
>                                                                         the
>                                                                         modeling
>                                                                         of
>                                                                         a circulating
>                                                                         photon
>                                                                         as
>                                                                         an
>                                                                         electron.
>                                                                         The
>                                                                         second
>                                                                         and
>                                                                         third
>                                                                         set
>                                                                         include
>                                                                         my
>                                                                         own
>                                                                         model
>                                                                         of
>                                                                         the
>                                                                         photon.
>                                                                         The
>                                                                         first
>                                                                         set
>                                                                         doesn’t
>                                                                         require
>                                                                         a particular
>                                                                         model
>                                                                         for
>                                                                         the
>                                                                         photon,
>                                                                         except
>                                                                         as
>                                                                         mentioned
>                                                                         below.
>                                                                         The
>                                                                         first
>                                                                         model
>                                                                         is
>                                                                         the
>                                                                         one
>                                                                         that
>                                                                         generates
>                                                                         the
>                                                                         de
>                                                                         Broglie
>                                                                         wavelength
>                                                                         as
>                                                                         explained
>                                                                         in
>                                                                         my
>                                                                         article
>                                                                         mentioned
>                                                                         below.
>                                                                         1.
>                                                                         Here
>                                                                         is
>                                                                         the
>                                                                         set
>                                                                         of
>                                                                         parametric
>                                                                         equations
>                                                                         for
>                                                                         the
>                                                                         helical
>                                                                         trajectory
>                                                                         of
>                                                                         double-looping
>                                                                         photon
>                                                                         that
>                                                                         models
>                                                                         a free
>                                                                         electron,
>                                                                         and
>                                                                          whose
>                                                                         circular
>                                                                         radius
>                                                                         for
>                                                                         a resting
>                                                                         electron
>                                                                         is
>                                                                         Ro=hbar/2mc.
>                                                                         The
>                                                                         speed
>                                                                         of
>                                                                         the
>                                                                         photon
>                                                                         along
>                                                                         this
>                                                                         trajectory
>                                                                         is
>                                                                         always
>                                                                         c.
>                                                                         The
>                                                                         longitudinal
>                                                                         or
>                                                                         z-component
>                                                                         of
>                                                                         the
>                                                                         photon’s
>                                                                         speed
>                                                                         is
>                                                                         the
>                                                                         electron’s
>                                                                         velocity
>                                                                         v along
>                                                                         the
>                                                                         z-axis.
>                                                                         The
>                                                                         frequency
>                                                                         of
>                                                                         the
>                                                                         photon
>                                                                         around
>                                                                         the
>                                                                         helical
>                                                                         axis
>                                                                         is
>                                                                         proportional
>                                                                         to
>                                                                         the
>                                                                         circulating
>                                                                         photon/electron's
>                                                                         energy
>                                                                         E=gamma
>                                                                         mc^2.
>                                                                         The
>                                                                         distance
>                                                                         of
>                                                                         the
>                                                                         photon’s
>                                                                         helical
>                                                                         trajectory
>                                                                         from
>                                                                         the
>                                                                         z-axis
>                                                                         for
>                                                                         an
>                                                                         electron
>                                                                         whose
>                                                                         speed
>                                                                         is
>                                                                         v,
>                                                                         is
>                                                                         proportional
>                                                                         to
>                                                                         1/gamma^2.
>                                                                         This
>                                                                         equation
>                                                                         is
>                                                                         in
>                                                                         my
>                                                                         article
>                                                                         “The
>                                                                         electron
>                                                                         is
>                                                                         a charged
>                                                                         photon
>                                                                         with
>                                                                         the
>                                                                         de
>                                                                         Broglie
>                                                                         wavelength”.
>                                                                         This
>                                                                         equation
>                                                                         does
>                                                                         not
>                                                                         include
>                                                                         a particular
>                                                                         model
>                                                                         of
>                                                                         the
>                                                                         photon,
>                                                                         but
>                                                                         assumes
>                                                                         that
>                                                                         the
>                                                                         photon
>                                                                         follows
>                                                                         the
>                                                                         relations
>                                                                         c=f
>                                                                         lambda,
>                                                                         E=hf
>                                                                         and
>                                                                         p=h/lambda.
>                                                                         Both
>                                                                         helicities
>                                                                         of
>                                                                         the
>                                                                         helical
>                                                                         trajectory
>                                                                         are
>                                                                         given.
>                                                                         _______________________________________________
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