<div dir="ltr"><div><div>Dear Chip,<br><br></div>Would you not expect that high-field regions would cause a distortion of space (because of higher energy density) and therefore an increase in effective path length (or increase in refractive index as viewed in 3-space). If both waves are phase coincident, then both are affected (bosonic attraction?). There should be refraction, diffraction (reflection), and displacement (where the refraction is stepwise - like sequential panes of glass). However, if they are not in phase, the effect will be negligible. When 180 degrees out of phase, the maximum energy density goes down & there is no attraction (is there any fermionic repulsion?) <br><br></div>Andrew<br><div><div class="gmail_extra">___________________________<br><div class="gmail_quote">On Sun, May 10, 2015 at 6:16 PM, Chip Akins <span dir="ltr"><<a href="mailto:chipakins@gmail.com" target="_blank">chipakins@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div link="blue" vlink="purple" lang="EN-US"><div><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">Hi John D<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">There is some computational difficulty in modeling the waves as you have requested, but I have not given up. We can do this but it is taking more time than I had imagined.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">I am able to model a confined wave and provide a surface plot.<u></u><u></u></span></p><p class="MsoNormal"><img src="cid:image004.png@01D08AF5.733D6B50" height="575" width="600"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">And then I am able to rotate a wave to be from a different direction (using quaternion rotation), and add it to the surface plot.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><img src="cid:image005.png@01D08AF5.733D6B50" height="478" width="528"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">The problem is that the second wave is not traveling through disturbed space yet in my model, but rather is like the first, traveling through undisturbed space. When space is disturbed, the second wave must travel farther than the first due to the disturbances, which may cause the effects you have mentioned. Now I have to realistically quantify the amount of displacement in space caused by the first wave in order to recalculate the second wave with accurate displacement effects.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">This initial simulation is assuming a first wave which is already present and a second wave then impinging upon the first. Later we can get into simultaneous wave interaction.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">A surface plot has an x and y location and a magnitude in this model. I now need to recalculate the magnitude values based on the propagation of the second wave over the first, and sum the magnitudes which occur as this result. This grid is 720 X 720 in x and y. The first wave velocity is c through flat space (so c in the x, y plane), the second wave velocity will be c through the disturbances caused by the first wave (so c in the x, y, plane plus the disturbance in the z direction).<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">Any clever insights or suggestions are welcome.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial",sans-serif;color:black">Chip<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><div><div style="border:none;border-top:solid #e1e1e1 1.0pt;padding:3.0pt 0in 0in 0in"><p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> General [mailto:<a href="mailto:general-bounces%2Bchipakins" target="_blank">general-bounces+chipakins</a>=<a href="mailto:gmail.com@lists.natureoflightandparticles.org" target="_blank">gmail.com@lists.natureoflightandparticles.org</a>] <b>On Behalf Of </b>John Duffield<br><b>Sent:</b> Thursday, April 30, 2015 2:36 PM</span></p><div><div class="h5"><br><b>To:</b> 'Nature of Light and Particles - General Discussion'<br><b>Subject:</b> Re: [General] Electron<u></u><u></u></div></div><p></p></div></div><div><div class="h5"><p class="MsoNormal"><u></u> <u></u></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Chip:<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Yes, I do envisage a 3D model. I was thinking a 2D model would be simple place to start, and didn’t want to be too demanding. <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">I wasn’t proposing that the two waves <i>diffract</i> one another, but instead <i>displace</i> one another. Light is displacement current, see <a href="http://mag.digitalpc.co.uk/olive/ode/physicsworld/LandingPage/LandingPage.aspx?href=UEhZU1dvZGUvMjAxMC8wOS8wMQ..&pageno=MzM.&entity=QXIwMzMwMA..&view=ZW50aXR5" target="_blank">Taming light at the nanoscale</a>. Think of a big oceanic swell wave, then mentally freeze it. Then send an ordinary ocean wave towards it. The latter rides up the swell wave. In doing this, it changes direction. It is displaced. Once it gets to the top it goes down the other side and continues on its way as if nothing happened, so you might think the two waves didn’t interact. But they did. One wave changed the direction of the other. Do this with two 511keV electromagnetic waves and each is displaced into itself, and then displaces its own path into a closed path, forever. In terms of an experiment see <a href="http://en.wikipedia.org/wiki/Two-photon_physics" target="_blank">gamma-gamma pair production</a> and the <a href="http://en.wikipedia.org/wiki/Breit%E2%80%93Wheeler_process" target="_blank">Breit-Wheeler</a> process, which was done indirectly at SLAC in 1997. There is no magic to this, the only tool in the box is light, and angular momentum is conserved. <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">For background reading check out Maxwell and <a href="http://en.wikipedia.org/wiki/Displacement_current#History_and_interpretation" target="_blank">displacement current</a> wherein “light consist of transverse undulations”, along with <a href="http://www.compumag.org/jsite/images/stories/newsletter/ICS-99-06-2-Hammond.pdf" target="_blank">Percy Hammond</a> who said “we conclude that the field describes the curvature that characterizes the electromagnetic interaction”. People think a gravity is all about curved space, but it isn’t, it’s all about inhomogeneous space. So what’s curved space all about? Electromagnetism! Check out <a href="https://www.google.co.uk/#q=electromagnetic+geometry&spell=1" target="_blank">electromagnetic geometry</a>. In an electromagnetic wave the curvature goes one way <i>then</i> the other, like my grid picture of potential. But when the wave goes round a tight twisted double loop, you end up with an all-round curvature, one way <i>or</i> the other. It’s chiral, in 3D, but we can come on to that. <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><img src="cid:image006.jpg@01D08AF5.733D6B50" border="0" height="163" width="480"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Regards<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">John D<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><div><div style="border:none;border-top:solid #e1e1e1 1.0pt;padding:3.0pt 0in 0in 0in"><p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> General [<a href="mailto:general-bounces+johnduffield=btconnect.com@lists.natureoflightandparticles.org" target="_blank">mailto:general-bounces+johnduffield=btconnect.com@lists.natureoflightandparticles.org</a>] <b>On Behalf Of </b>Chip Akins<br><b>Sent:</b> 30 April 2015 14:18<br><b>To:</b> 'Nature of Light and Particles - General Discussion'<br><b>Subject:</b> Re: [General] Electron<u></u><u></u></span></p></div></div><p class="MsoNormal"><span lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black">Hi John D<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black">Do you envision a 3D model which is a 3D grid of space with your prescribed wave propagating through the 3D mesh? Or are you suggesting a 2D wave representation?<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black">Are you proposing that two EM waves interact to diffract each other? Has this ever been seen in experiment?<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black">I suspect that a strong source of angular momentum <b>must also be present</b> in order to catalyze electron-positron pair production (like when gamma rays strike an atomic nucleus). So I think this means the waves will otherwise just pass through each other and <b>the conditions for confinement will not exist, absent this additional source of angular momentum</b>.<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black">Chip<u></u><u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><p class="MsoNormal"><span style="color:black"><u></u> <u></u></span></p><div><div style="border:none;border-top:solid #e1e1e1 1.0pt;padding:3.0pt 0in 0in 0in"><p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> General [<a href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org" target="_blank">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</a>] <b>On Behalf Of </b>John Duffield<br><b>Sent:</b> Thursday, April 30, 2015 2:12 AM<br><b>To:</b> 'Nature of Light and Particles - General Discussion'<br><b>Subject:</b> Re: [General] Electron<u></u><u></u></span></p></div></div><p class="MsoNormal"><u></u> <u></u></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Martin:<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">No probs re mass and gravity. It’s good to talk. And if there was never any confusion, and we all agreed about everything, whatever would we talk about?<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">David:<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">I don’t have any issues with the horn torus or spindle-sphere torus. In a previous email I’ve referred to “inflating” the ring torus through these stages. See Adrian Rossiter’s </span><a href="http://www.antiprism.com/album/860_tori/index.html" target="_blank"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif" lang="EN-GB">antiprism</span></a><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"> for torus animations. See Martin’s picture below? Look at the cut end, it’s a bit like a slice of onion. Mentally add more onion rings around those that are already there, and the torus gets more and more spherical. <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><img src="cid:image007.jpg@01D08AF5.733D6B50" alt="cid:image001.jpg@01D08318.6E155550" border="0" height="272" width="328"></span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">There is no charge at the centre. The charge is the twist, the winding, the knottedness, the vorticity. Undo it with the opposite twist, and instead of two field variations going round at c looking like standing fieldall, you’ve got two field variations moving linearly at c.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Chip:<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Is there any chance you could animate a wave in space, like this?<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><img src="cid:image008.gif@01D08AF5.733D6B50" alt="cid:image002.gif@01D08318.6E155550" border="0" height="157" width="640"></span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">It’s a bit like a wave in a rubber mat, or a seismic wave. Only this is a wave of electromagnetic four-potential. The spatial derivative of this gives the sinusoidal electric waveform, and the time-derivative gives the sinusoidal magnetic waveform. See the horizontal lines? Where the tilt is steepest the electric sine wave is highest. Where the tilting is fastest is where the magnetic sine wave is highest. L</span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666">ook at </span><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation" target="_blank"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#0033cc">electromagnetic radiation</span></a><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666"> on Wiki. Read the </span><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation#Derivation_from_electromagnetic_theory" target="_blank"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Derivation From Electromagnetic Theory</span></a><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666"> </span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f4e79">section, and you’ll see this: <i><span style="font-family:"Calibri",sans-serif">“the curl operator on one side of these equations results in first-order spatial derivatives of the wave solution, while the time-derivative on the other side of the equations, which gives the other field, is first order in time”</span></i>. </span><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f4e79" lang="EN-GB">After that I’d be very interested in an animation where two such waves pass each other and displace each other’s path, so much so that each wave ends up moving through itself. <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">Regards<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d" lang="EN-GB">John D<u></u><u></u></span></p></div></div></div></div><br>_______________________________________________<br>
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