<html><head><meta http-equiv="Content-Type" content="text/html charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class="">Hello Chandra,<div class=""> I would like to request that Dr. Grahame Blackwell be added (he indicated this desire for this in his email below) to our “Nature of Light and Particles” e-list. He is well known to several of us, and as you can see from his below post, he has already made a significant contribution to one of the main topics of our group. I hope that he will be invited to participate in our next SPIE conference as well.</div><div class=""> with best regards,</div><div class=""> Richard<br class=""><div><br class=""><blockquote type="cite" class=""><div class="">Begin forwarded message:</div><br class="Apple-interchange-newline"><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">From: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class="">"Dr Grahame Blackwell" <<a href="mailto:grahame@starweave.com" class="">grahame@starweave.com</a>><br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">Subject: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class=""><b class="">Re: [General] Matter comprised of light-speed energy</b><br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">Date: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class="">June 10, 2016 at 5:35:19 AM PDT<br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">To: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class="">"Richard Gauthier" <<a href="mailto:richgauthier@gmail.com" class="">richgauthier@gmail.com</a>><br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">Cc: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class=""><<a href="mailto:viv@universephysics.com" class="">viv@universephysics.com</a>><br class=""></span></div><br class=""><div class=""><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Hi Richard,</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Thanks indeed for forwarding Viv Robinson's paper on to me. I found a great deal in it that I would agree with, indeed as you say his model is similar to mine in various respects.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">As you know, my primary concern with this 'cyclic-photon' view of electron structure (which must by now surely be self-evident in principle to anyone who takes the trouble to consider it) relates to its consequences in respect of Special Relativity - specifically, it fully explains ALL of the experimentally verified findings of SR (note that I do not include what I would consider deeply questionable inferences from those 'gold standard' findings). For this reason I haven't unravelled all the details of spin, momentum etc in this paper - though again I see a lot in there that I find eminently acceptable.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Just a couple of things that I noted that I have to question. First, on p.4 Vivian quotes AE: "radiation conveys inertia between emitting and absorbing bodies" - then states: "Einstein's above-mentioned statement shows he believed photons have mass"; he goes further than this and refers to this idea (photons have mass) as "Einstein's postulate". For me this is a non-sequitur, putting words in Einstein's mouth that (as far as I know) he never uttered. For something to CONVEY a characteristic it doesn't need to HAVE that characteristic itself. For example, radio waves convey sound between source and destination - but they do most assuredly NOT themselves consist of longitudinal pressure waves.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">This is not a trivial point, it goes to the very heart of 'what IS mass / what is inertia?' - a subject that you and I have discussed recently. My perception of inertial mass, backed up by careful consideration of what's happening when a particle changes its velocity, is that it's a property of that closed-loop energy structure, not applicable to a free-flying photon - but transferable BY that free-flying photon between two of those closed-loop structures. (Totally analogous to that radio wave).</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">My other point relating to Vivian's paper is in respect of what appears to me to be an assumption for which there is no evidence: namely that, just because a static particle is formed from exactly two circuits per wavelength of its formative photon, a moving particle will likewise consist of exactly a double-loop. This appears in the four lines of algebra leading up to equation 7, which itself defines a reduced diameter for a particle on the move. It seems to be an attempt to conform with precepts of SR - but leads to a conclusion that is itself at variance with SR, namely a change in dimension orthogonal to direction of motion. There seems to be a suggestion that this only affects the particle, not the wider structure, but it's not apparent why that should be so: would not a change in electron diameter have an impact on electromagnetic molecular bonding - if not, why not? I see strong reasons why radius of photon path would NOT change with speed of particle.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">For my part I've continued to add to what I consider to be compelling reasons to question century-old entrenched positions re Special Relativity. You know that I've derived clear mathematical rationales for ALL verified findings of SR directly from the 'cyclic photon' model, however I don't ask people simply to accept my findings against that 100-year legacy. Rather, I have posted what I consider absolutely compelling reasons for seriously questioning three of the most 'robust' arguments for SR: Fizeau's experiment; Maxwell's equations (frame independence thereof); Michelson & Morley's experiment. If ANYONE can take the few minutes required to read those three 1-page posts (with minimal maths, mostly simple logical reasoning) and then STILL believe that ANY of those can be considered serious evidence for SR, I'd be most interested to hear why.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Those posts can be found at:</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""><a href="http://www.transfinitemind.com/fizeau.php" class="">www.transfinitemind.com/fizeau.php</a></font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""><a href="http://www.transfinitemind.com/maxwell.php" class="">www.transfinitemind.com/maxwell.php</a></font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""><a href="http://www.transfinitemind.com/michelsonmorley.php" class="">www.transfinitemind.com/michelsonmorley.php</a></font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">A more detailed rationale for seriously questioning SR as a true model of reality can be seen at:</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""><a href="http://www.transfinitemind.com/SR.php" class="">www.transfinitemind.com/SR..php</a></font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">It goes without saying that, unless all of thes pieces can be effectively refuted, physics research today is in a real sense heading down a blind alley.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">I'd be glad, Richard, if you could share this with others. I'd also be pleased to be able to myself share with the group that you refer to, if that's ok with you & them.</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class=""></font> </div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Thanks,</font></div><div style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><font color="#000080" size="2" face="Arial" class="">Grahame</font></div><blockquote style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); border-left-color: rgb(0, 0, 128); border-left-width: 2px; border-left-style: solid; padding-left: 5px; padding-right: 0px; margin-left: 5px; margin-right: 0px;" class="" type="cite"><div style="font-style: normal; font-variant: normal; font-weight: normal; font-size: 10pt; line-height: normal; font-family: arial;" class="">----- Original Message -----<span class="Apple-converted-space"> </span></div><div style="font-style: normal; font-variant: normal; font-weight: normal; font-size: 10pt; line-height: normal; font-family: arial; background-color: rgb(228, 228, 228); background-position: initial initial; background-repeat: initial initial;" class=""><b class="">From:</b><span class="Apple-converted-space"> </span><a title="richgauthier@gmail.com" href="mailto:richgauthier@gmail.com" class="">Richard Gauthier</a></div><div style="font-style: normal; font-variant: normal; font-weight: normal; font-size: 10pt; line-height: normal; font-family: arial;" class=""><b class="">To:</b><span class="Apple-converted-space"> </span><a title="grahame@starweave.com" href="mailto:grahame@starweave.com" class="">Dr Grahame Blackwell</a></div><div style="font-style: normal; font-variant: normal; font-weight: normal; font-size: 10pt; line-height: normal; font-family: arial;" class=""><b class="">Sent:</b><span class="Apple-converted-space"> </span>Thursday, June 09, 2016 5:10 AM</div><div style="font-style: normal; font-variant: normal; font-weight: normal; font-size: 10pt; line-height: normal; font-family: arial;" class=""><b class="">Subject:</b><span class="Apple-converted-space"> </span>Fwd: [General] Matter comprised of light-speed energy</div><div class=""><br class=""></div>Hello Grahame,<div class=""> I’m forwarding to you a copy of Vivian Robinson’s double-loop electron model article (attached at the end), with some recent comments on it in the “nature of light and particles” discussion group. I don’t know if you’ve read Vivian’s article, but his approach is somewhat similar to yours. I would be interested in seeing any comments you might have on it, and would pass them along to Vivian and the group if you agreed.</div><div class=""> all the best,</div><div class=""> Richard<br class=""><div class=""><br class=""><blockquote type="cite" class=""><div class="">Begin forwarded message:</div><br class="Apple-interchange-newline"><div style="margin: 0px;" class=""><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">From:<span class="Apple-converted-space"> </span></b></span><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class="">Richard Gauthier <<a href="mailto:richgauthier@gmail.com" class="">richgauthier@gmail.com</a>><br class=""></span></div><div style="margin: 0px;" class=""><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">Subject:<span class="Apple-converted-space"> </span></b></span><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">Re: [General] Matter comprised of light-speed energy</b><br class=""></span></div><div style="margin: 0px;" class=""><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">Date:<span class="Apple-converted-space"> </span></b></span><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class="">June 7, 2016 at 10:36:34 AM PDT<br class=""></span></div><div style="margin: 0px;" class=""><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">To:<span class="Apple-converted-space"> </span></b></span><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class="">Vivian Robinson <<a href="mailto:viv@universephysics.com" class="">viv@universephysics.com</a>><br class=""></span></div><div style="margin: 0px;" class=""><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class=""><b class="">Cc:<span class="Apple-converted-space"> </span></b></span><span style="font-family: -webkit-system-font, 'Helvetica Neue', Helvetica, sans-serif;" class="">Nature of Light and Particles - General Discussion <<a href="mailto:general@lists.natureoflightandparticles.org" class="">general@lists..natureoflightandparticles.org</a>><br class=""></span></div><br class=""><div class=""><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class=""><div style="font-size: 14px;" class="">Hello Vivian,</div><div style="font-size: 14px;" class=""><br class=""></div><div class=""><span style="font-size: 14px;" class=""> Again, thank you for your further explanations. Unfortunately, you still do not seem to have realized, and therefore do not accept, that you incorrectly derived the de Broglie wavelength Ldb = h/(gamma m v) from your electron model. Since you knew the correct de Broglie wavelength formula in advance, it is understandable that you accepted your faulty derivation when it seemed to give the “right answer”. This can be a lesson for all of us. Let me be more specific. On p 13 in the middle right-hand column of your article (attached below for others' convenience) you write:</span> </div><div class=""><br class=""></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">The rotational component of the electron at rest is unavailable for any interaction, except for exchanging photons in an electromagnetic interaction. That leaves only the translational component of the moving elec</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">tron’s electromagnetic field available for interaction.<span class="Apple-converted-space"> </span></span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">That is the wavelength of its kinetic energy. However the electron is entirely composed of an electromag</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">netic wave. Its total energy is </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">E= </span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">hf</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">v</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">. Its rest energy is hf</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">0</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">. The kinetic energy component of the electro</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">magnetic field, pc, is given by </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">E sin (theta)=</span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">h</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">v </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">sin (theta) =</span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">pc = </span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">h</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 9px;" class="">ke ..</span></div><div class=""><div class="page" title="Page 13"><div class="section"><div class="layoutArea"><div class="column"><div class=""><br class=""></div><div class=""><br class=""></div><div class=""><span style="font-size: 14px;" class="">Summarizing, you derived the “kinetic energy component of the electromagnetic field, pc" from the relativistic energy-momentum triangle as KE = pc = </span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">h</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 9px;" class="">ke</span><span style="font-size: 14px;" class=""> (as you labeled the vertical side of the triangle in fig. 13) . Then you write: </span></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class=""><br class=""></span></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">Substituting c/lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE<span class="Apple-converted-space"> </span></span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class=""> for f</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE<span class="Apple-converted-space"> </span></span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">and simplifying yields </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">pc = </span><span style="font-family: Symbol; font-size: 11pt;" class=""> </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">hc/lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">where lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">is the component wavelength of the elec</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">tromagnetic oscillation that is the electron, in the direction of its travel, namely lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE<span class="Apple-converted-space"> </span></span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">= h/p </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">which is the expression for the de Broglie wavelength.</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: 4pt;" class=""> </span></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: 4pt;" class=""><br class=""></span></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: 4pt;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class="">But the correct expression for the relativistic kinetic energy KE of a particle is KE= (gamma-1)mc^2 which is NOT equal to pc , which equals pc=(gamma mv)c or pc=gamma mvc . It is OK to set KE=</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">h</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 9px;" class="">ke </span><span style="font-size: 14px;" class="">but this means that </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 9px;" class="">ke </span><span style="font-size: 14px;" class="">=</span><span style="font-size: 14px;" class="">KE/h = [ (gamma-1)(mc^2) ] /h . Combining this expression for </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 9px;" class="">ke</span><span style="font-size: 14px;" class=""> with </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">c/(lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">) = f</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-size: 14px;" class="">or </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class=""> = c/ f</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-size: 14px;" class=""> gives</span></div><div class=""><br class=""></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class=""><span style="font-size: 11pt;" class="">lambda</span><span style="font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-size: 11pt;" class=""> = c/ f</span><span style="font-size: 7pt; vertical-align: -4pt;" class="">KE </span></span><span style="font-family: TimesNewRomanPSMT; vertical-align: -4pt;" class=""><span style="font-size: 11pt;" class="">= c</span><span style="font-size: 14px;" class="">/(KE/h) = c/ [(gamma-1)(mc^2)] / h</span></span></div><div class=""><span style="font-family: TimesNewRomanPSMT; vertical-align: -4pt;" class=""><span style="font-size: 14px;" class=""><br class=""></span></span></div><div class=""><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-size: 14px;" class="">= </span><span style="font-family: TimesNewRomanPSMT; font-size: 14px;" class=""> h/(gamma-1)(mc)</span><span style="font-size: 14px;" class=""> </span></div><div class=""><span style="font-size: 14px;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class="">which is not at all what you obtained: </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE </span><span style="font-size: 14px;" class="">= h/p , when you incorrectly set KE = h</span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">f</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE</span><span style="font-size: 14px;" class=""> equal to pc . So whatever </span><span style="font-family: TimesNewRomanPSMT; font-size: 11pt;" class="">lambda</span><span style="font-family: TimesNewRomanPSMT; font-size: 7pt; vertical-align: -4pt;" class="">KE</span><span style="font-size: 14px;" class=""> is </span><span style="font-size: 14px;" class="">(you call it the wavelength of the electron’s kinetic energy)</span><span style="font-size: 14px;" class="">, it is NOT the de Broglie wavelength.</span></div><div class=""><span style="font-size: 14px;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class=""> So your electron model unfortunately does not give a correct derivation of the electron's de Broglie wavelength formula, due to a mis-interpretation of the relativistic energy-momentum equation’s “right triangle”. This led you to incorrectly equate two different quantities: pc and KE of a moving electron, resulting in your incorrect derivation of the de Broglie wavelength. One can reasonably conclude that the other relativistic mathematical derivations in your model, which you claim are consistent with known experimental properties of the electron, should be carefully checked as well; and should not be accepted by you unless they pass such checking.</span></div><div class=""><span style="font-size: 14px;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class="">with best regards, </span></div><div class=""><span style="font-size: 14px;" class=""> Richard</span></div><div class=""><span style="font-size: 14px;" class=""><br class=""></span></div><div class=""><span style="font-size: 14px;" class="">p.s. you might say that I’m just trying to find fault with your electron model because I have a different one. I agree, and hope you will return the favor. Everyone benefits in this way, and it hopefully speeds up the process of finding better models for the electron, photon and other fundamental particles. </span></div></div></div></div></div></div><div class=""><br class=""></div><div class=""></div></div></div></blockquote></div></div><div class=""><br class="webkit-block-placeholder"></div><hr class=""><div class=""> <br class="webkit-block-placeholder"></div></blockquote></div></blockquote></div><br class=""></div></body></html>