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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='color:black'>Hi Richard<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Will superimpose the torus and update the graphics.<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Chip<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></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:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org] <b>On Behalf Of </b>Richard Gauthier<br><b>Sent:</b> Monday, May 04, 2015 9:22 AM<br><b>To:</b> Nature of Light and Particles - General Discussion<br><b>Subject:</b> Re: [General] Electron Models<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>Chip,<o:p></o:p></p></div><div><p class=MsoNormal> Beautifully done. For both, the frequency Increases (typo) with velocity. And it would be great for each figure to superimpose the torus on which the energy quantum moves. The smaller figure is composed of the spin 1/2 photon and the larger on the spin 1 uncharged photon.<o:p></o:p></p></div><div><p class=MsoNormal> Richard<o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><div><p class=MsoNormal>On May 4, 2015, at 7:06 AM, Chip Akins <<a href="mailto:chipakins@gmail.com">chipakins@gmail.com</a>> wrote:<o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal>Hi Richard<o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal>Your model at rest from:<o:p></o:p></p></div><div><p class=MsoNormal><image002.jpg><o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal><image006.jpg><o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal>From the direction of motion: (0 to 0.9 c, 0.1 c steps)<o:p></o:p></p></div><div><p class=MsoNormal><image007.png><o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal>From the side:<o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal><image009.jpg><o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal>Radius decreases, and frequency increases with velocity.<o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><p class=MsoNormal>Chip<o:p></o:p></p></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><div><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'>From:</span></b><span class=apple-converted-space><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'> </span></span><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'>General [<a href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org"><span style='color:#954F72'>mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</span></a>]<span class=apple-converted-space> </span><b>On Behalf Of<span class=apple-converted-space> </span></b>Richard Gauthier<br><b>Sent:</b><span class=apple-converted-space> </span>Sunday, May 03, 2015 11:07 PM<br><b>To:</b><span class=apple-converted-space> </span>Nature of Light and Particles - General Discussion<br><b>Subject:</b><span class=apple-converted-space> </span>Re: [General] position</span><o:p></o:p></p></div></div></div><div><p class=MsoNormal> <o:p></o:p></p></div><div><div><p class=MsoNormal>Chip and all,<o:p></o:p></p></div></div><div><div><p class=MsoNormal> 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.<o:p></o:p></p></div></div><div><div><p class=MsoNormal> <o:p></o:p></p></div></div><div><div><p class=MsoNormal>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.<o:p></o:p></p></div></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif'>_______________________________________________<br>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 href="mailto:richgauthier@gmail.com"><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#954F72'>richgauthier@gmail.com</span></a><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif'><br><a href="</span><a href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1"><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#954F72'>http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1</span></a><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif'>"><br>Click here to unsubscribe<br></a></span><o:p></o:p></p></div></blockquote></div><p class=MsoNormal><o:p> </o:p></p></div></body></html>