<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content="text/html; charset=windows-1252" http-equiv=Content-Type>
<META name=GENERATOR content="MSHTML 8.00.6001.23588">
<STYLE></STYLE>
</HEAD>
<BODY
style="WORD-WRAP: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space"
bgColor=#ffffff>
<DIV><FONT color=#000080 size=2 face=Arial>Thank you kindly,
Richard.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>I shall continue to persist* until
the light of reason shows clearly for all to see through the cracks ever more
apparent in a century-old metaphysical myth (* though not necessarily with those
who prefer to remain in the dark).</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>The point in question is that, even
allowing for probabilistic criteria, there are likely to be rather more
fast-moving electrons making it through an aperture, of the width that you
define for electrons at that speed, than there will be of slower electrons that,
according to your figures, are greater in cross-section than that aperture; this
is a point on which you have expressed your agreement. You are now
proposing that we should view a situation in which photons are passed through an
aperture as a suitable model for this scenario, that the two situations are
broadly the same because they both involve waves.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>If you're able to complete this
picture by: (a) explaining how linear photons may be passed through an aperture
at differing speeds, as are those electrons (or, equivalently, how that
aperture can move at different speeds relative to linear photons -
given the SR view that said photons are always at speed c with respect to
anything material); and (b) how linear photons similarly change their diameter
(????) at different speeds (????), so as to make that situation comparable -
then I'll cease to ask any further. But until you answer the question that
I've asked, rather than substituting a scenario of your own that's in
no way comparable, then I can't consider my question to have been addressed, let
alone resolved.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>Even allowing a degree of statistical
variation at the individual quantum level, on the macro scale outcomes of the
sort of scenario I originally described conform pretty closely to expectations
as given by deterministic principles. So if we think in terms of a few
billions of electrons, rather than just one, attempting passage through that
orifice at speeds 0.9c and then 0.1c - my question still
stands.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT><FONT color=#000080 size=2
face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>Best regards,</FONT></DIV>
<DIV><FONT face=Arial><FONT color=#000080 size=2>Grahame</FONT></FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV>----- Original Message ----- </DIV>
<BLOCKQUOTE
style="BORDER-LEFT: #000080 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: 0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
<DIV
style="FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black"><B>From:</B>
<A title=richgauthier@gmail.com href="mailto:richgauthier@gmail.com">Richard
Gauthier</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A
title=general@lists.natureoflightandparticles.org
href="mailto:general@lists.natureoflightandparticles.org">Nature of Light and
Particles - General Discussion</A> ; <A title=grahame@starweave.com
href="mailto:grahame@starweave.com">Dr Grahame Blackwell</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Monday, January 09, 2017 6:14
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: [General] On particle
radius</DIV>
<DIV><BR></DIV>
<DIV>Hello Grahame,</DIV>
<DIV><BR></DIV>
<DIV> Thanks for your persistence. If you stand next to or walk,
run, or fly past an ongoing photon double-slit experiment with the photons
supplied by a laser, your speed with respect to the experimental apparatus
will not affect the fact that photons are being detected at the screen behind
the slits, with the photon detection locations spatially distributed
statistically according to the well-known double-slit wave interference
pattern. Your speed relative to the double-slit experimental apparatus will
however (according to the predictions of special relativity) affect the amount
of time the experiment has been running (as measured by your wristwatch) due
to relativistic time dilation. Your speed relative to the apparatus will also
affect your measured distance (using your own meter sticks) between the double
slits and the screen, as you go by the experiment at different speeds, due to
relativistic length contraction of the double-slit apparatus as viewed by you
traveling at different speeds (or at speed zero with respect to the
apparatus.) </DIV>
<DIV> </DIV>
<DIV> The same will be true if electrons are used rather than
photons in a double-slit experiment (whose slits may however have to be
adjusted in size and separation because electrons are going through the slits
instead of photons and the electrons' de Broglie wavelength and the photons'
wavelength may be different. But the double-slit statistical wave pattern of
electrons detected at the electron detection screen behind the slits will be
the same for electrons (as predicted by their de Broglie wavelength for their
speed relative to the slits) as for photons at a photon detection screen
(using the photon wavelength for the interference pattern predictions).
Whether you are standing beside the apparatus, moving with the
electrons, or have some other velocity relative to the apparatus and
electrons, the double-slit statistical pattern of electrons detected at the
screen will still be produced.</DIV>
<DIV><BR></DIV>
<DIV> According to my electron model the oncoming spin-1/2
charged photons generate the de Broglie wavelength quantum matter waves that
(in some informational sense at least) would go through the double slits, so
the predicted results at the screen using my electron model would be the same
as the predicted results using the standard electron description. </DIV>
<DIV><BR></DIV>
<DIV> The same question that you are asking about the moving
electron's transverse radius versus slit aperture size for various observer
velocities can also be asked about the photon’s transverse radius versus slit
aperture size, as measured by different observers traveling at different
speeds relative to the double-slit photon or electron apparatus. You cannot
expect a more precise answer to the electron question than to the photon
question if the electron is composed of a variety of photon. The answer
to the photon question and to the electron question would be basically the
same. That answer would be: use the predictions of quantum wave interference
and diffraction produced by the electron or photon waves to predict what
pattern of electrons or photons can be detected at the screen or elsewhere in
the double-slit experiment.</DIV>
<DIV><BR></DIV>
<DIV> Richard</DIV><BR>
<DIV>
<BLOCKQUOTE type="cite">
<DIV>On Jan 9, 2017, at 6:51 AM, Dr Grahame Blackwell <<A
href="mailto:grahame@starweave.com">grahame@starweave.com</A>>
wrote:</DIV><BR class=Apple-interchange-newline>
<DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Just realised that my reply only went to
Richard.</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Since his response went to all, some may
find my reply of interest.</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Best regards,</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Grahame</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>===========</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 10pt arial; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px">-----
Original Message -----<SPAN class=Apple-converted-space> </SPAN>
<DIV style="BACKGROUND-COLOR: rgb(228,228,228)"><B>From:</B><SPAN
class=Apple-converted-space> </SPAN><A title=grahame@starweave.com
href="mailto:grahame@starweave.com">Dr Grahame Blackwell</A></DIV>
<DIV><B>To:</B><SPAN class=Apple-converted-space> </SPAN><A
title=richgauthier@gmail.com href="mailto:richgauthier@gmail.com">Richard
Gauthier</A></DIV>
<DIV><B>Sent:</B><SPAN class=Apple-converted-space> </SPAN>Monday,
January 09, 2017 1:30 PM</DIV>
<DIV><B>Subject:</B><SPAN class=Apple-converted-space> </SPAN>Re:
[General] On particle radius</DIV></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><BR></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Hi Richard and all,</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Thanks for your detailed response, most of
which seems to be a re-run of your reasoning that you've presented before
rather than relating to my specific question (more on that below). As
with Chip's comments, I'll study this with interest in the light of my own
findings and understanding.</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>With regard to my 'aperture'
question/thought-experiment: I agree completely that of course there's a
probabilistic element to passage of the electron through the gap - that's a
good point that you make. Unfortunately it doesn't do anything to
reduce the significance of my argument.</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>In your final para you observe: "<SPAN
class=Apple-converted-space> </SPAN><FONT size=3
face="Times New Roman">I think one would find a higher probability of
finding fast-moving (v=0.9c) electrons on the other side of a small
enough aperture as compared to the probability of finding slow-moving
(v=0.1c) electrons on the other side of the same small
aperture</FONT>"; on this we are agreed (if we accept the premise of reduced
particle size with speed - which I don't, but we'll run with that
here). If, in accordance with SR principles, we now shift to the
perspective of the electron's rest-frame, what we get is static electrons
having a higher probability of passing through a fast-moving orifice than
they do of passing through that orifice when it's moving more slowly.
How do you explain that, if it's not by virtue of that orifice increasing in
size with increasing speed? Probabilities don't simply change without
circumstances changing, and this appears to be the only credible explanation
for such variation.</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>So I'm still waiting for the explanation as
to why that aperture increases in size with increasing speed, which appears
to be a necessary condition for satisfaction of SR reciprocity of reference
frames (without which SR breaks down). [If you have an alternative
explanation for probability of passage of static electrons through an
orifice varying in this way with speed of motion of that orifice, then of
course that would be of interest.]</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Best regards,</FONT></DIV>
<DIV
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><FONT
color=#000080 size=2 face=Arial>Grahame</FONT></DIV>
<BLOCKQUOTE
style="BORDER-LEFT: rgb(0,0,128) 2px solid; TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"
type="cite">
<DIV style="FONT: 10pt arial">----- Original Message -----<SPAN
class=Apple-converted-space> </SPAN></DIV>
<DIV
style="BACKGROUND-COLOR: rgb(228,228,228); FONT: 10pt arial"><B>From:</B><SPAN
class=Apple-converted-space> </SPAN><A title=richgauthier@gmail.com
href="mailto:richgauthier@gmail.com">Richard Gauthier</A></DIV>
<DIV style="FONT: 10pt arial"><B>To:</B><SPAN
class=Apple-converted-space> </SPAN><A
title=general@lists.natureoflightandparticles.org
href="mailto:general@lists.natureoflightandparticles.org">Nature of Light
and Particles - General Discussion</A><SPAN
class=Apple-converted-space> </SPAN>;<SPAN
class=Apple-converted-space> </SPAN><A title=grahame@starweave.com
href="mailto:grahame@starweave.com">Dr Grahame Blackwell</A></DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B><SPAN
class=Apple-converted-space> </SPAN>Monday, January 09, 2017 6:26
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B><SPAN
class=Apple-converted-space> </SPAN>Re: [General] On particle
radius</DIV>
<DIV><BR></DIV>
<DIV>Hi Grahame and all,</DIV>
<DIV><BR></DIV>
<DIV> Thanks for your question about how I justify the reduced
transverse radius of the helical trajectory of the charged photon model
with velocity as R=Ro/gamma^2, where Ro=hbar/2mc (See below for the
aperture question.) All electron modelers need to keep in mind the
experimentally determined maximum size of the electron of about 10^-18 m
as measured in high energy electron-electron scattering experiments (at
about 30GeV). The R=Ro/gamma^2 result above for the trajectory radius of
the spin 1/2 charged photon, when added to the actual radius
R1=L/4pi = Ro/gamma of my detailed spin 1/2 charged photon model
(described briefly in this forum in the past), gives a total transverse
helical radius Rtotal = Ro/gamma^2 + Ro/gamma = Ro ( 1/gamma^2 + 1/gamma)
where Ro=hbar/2mc . This total transverse radius Rtotal of the
charged photon electron model is dominated by the spin 1/2 photon's radius
in high electron energy scattering to give Rtotal -> Ro/gamma ,
consistent with these experimental results.</DIV>
<DIV> </DIV>
<DIV> On the theoretical side, the R=Ro/gamma^2 result is
derived from setting the circulating charged photon's energy E=hf equal to
electron's total energy formula E=gamma mc^2 and solving for the photon's
wavelength L=h/(gamma mc). This result of decreasing charged photon
wavelength L with increasing electron velocity is used together with the
increasing double-looping frequency f=2 gamma mc^2 with increasing
electron velocity of the helically double-looping photon . The result is a
quantitative geometrical helical model for the trajectory of the spin 1/2
charged photon. The helical radius R=Ro/gamma^2 of the trajectory emerges
naturally from both the increasing double-looping frequency and the
decreasing wavelength of the spin 1/2 charged photon with increasing
electron speed. I showed that this result is also the case for Vivian’s
helically-circulating-photon particle model when it is corrected to
include the decreasing wavelength of the circulating photon associated
with the particle’s increasing speed, which he had left out of his
derivation. The de Broglie wavelength L-compton = h/(gamma mv) falls out
easily from this spin 1/2 charged photon wavelength L=h/(gamma mc) result.
I don’t think John and Martin used this reduced photon-wavelength
relationship L=h/gamma mc in their 1997 electron-modeling article. You
also don’t use it in your particle model. </DIV>
<DIV><BR></DIV>
<DIV> Your circulating-photon-like object particle model
maintains a constant transverse radius as the speed (and energy) of the
moving particle increases. The frequency of helical rotation of your
photon-like object therefore actually decreases as 1/gamma with
increasing particle speed. But based on energy considerations the
circulating photon frequency of a helically-moving-photon model should
INCREASE with the particle’s energy in proportion to gamma due to E=gamma
mc^2 for the total energy of a moving particle with mass. De Broglie’s own
derivation of the de Broglie wavelength incorporated both an increasing
frequency (due to increasing electron energy) with electron speed, and
also a seemingly contradictory decreasing frequency with increasing
electron speed (due to the relativistic time dilation effect.) He
rationalized both of these frequencies using his “harmony of phases”
argument. But your particle model doesn’t contain the increasing frequency
with photon energy or particle energy at all (as far as I know). We have
previously discussed the problem of your particle model’s spin at
relativistic energies. If your particle is composed of a spin 1 hbar
circulating photon (or even a spin 1/2 hbar circulating photon) , either
of these spins will add to the orbital spin of your electron model that
(due to its constant radius with increasing particle speed) remains a
constant 1/2 hbar with increasing speed of your electron model. This gives
your electron model a total spin of 1 1/2 hbar or 1 hbar (depending the
spin 1 or spin 1/2 of the photon model you use) at highly
relativistic velocities, which contradicts the experimental spin 1/2 for
an electron at all velocities. With my model (and Vivian’s corrected
model) the orbital contribution of spin 1/2 hbar (which is correct
for a slowly moving electron) decreases rapidly to zero (as 1/gamma^2) at
relativistic particle velocities, and the spin 1/2 of the helically
circulating photon becomes the spin 1/2 of the electron model itself at
relativistic energies.</DIV>
<DIV> </DIV>
<DIV> As for the question of whether a fast-moving (with
v=0.9c) electron can go through an aperture with a radial size that might
block a slower moving electron (with v=0.1c) , I think that one has to
appeal to the photon-like quantum wave nature of the electron to answer
the question. My charged-photon electron model is proposed to generate de
Broglie wavelength quantum waves in its longitudinal direction of motion
that would interact with an aperture or slit (or 2 slits) and predict (by
quantum wave diffraction and interference effects) the probability of
detecting electrons at a screen on the other side of the aperture, whether
for slow moving electrons or for fast moving electrons. Moving electrons
are not like wooden pegs that one tries to fit through various hole sizes
relative to the size of the electron peg. But In general I think one would
find a higher probability of finding fast-moving (v=0.9c) electrons
on the other side of a small enough aperture as compared to the
probability of finding slow-moving (v=0.1c) electrons on the
other side of the same small aperture. There should be no contradiction in
this result, whether an observer is in the inertial frame of the moving
electron, or stands next to the aperture that individual electrons are
passing (or not passing) through.</DIV>
<DIV><BR></DIV>
<DIV> Richard</DIV>
<DIV> </DIV></BLOCKQUOTE><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px">_______________________________________________</SPAN><BR
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px">If
you no longer wish to receive communication from the Nature of Light and
Particles General Discussion List at<SPAN
class=Apple-converted-space> </SPAN></SPAN><A
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"
href="mailto:richgauthier@gmail.com">richgauthier@gmail.com</A><BR
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><a
href="</SPAN><A
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"
href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1</A><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px">"></SPAN><BR
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px">Click
here to unsubscribe</SPAN><BR
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"><SPAN
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; DISPLAY: inline !important; FONT: 12px Helvetica; WHITE-SPACE: normal; FLOAT: none; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"></a></SPAN><BR
style="TEXT-TRANSFORM: none; BACKGROUND-COLOR: rgb(255,255,255); TEXT-INDENT: 0px; FONT: 12px Helvetica; WHITE-SPACE: normal; LETTER-SPACING: normal; WORD-SPACING: 0px; -webkit-text-stroke-width: 0px"></DIV></BLOCKQUOTE></DIV><BR></BLOCKQUOTE></BODY></HTML>