<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:16px"><div id="yui_3_16_0_1_1432829116296_26643"><span>John</span></div><div id="yui_3_16_0_1_1432829116296_26597"><span><br></span></div><div id="yui_3_16_0_1_1432829116296_26597"><span>I am...speechless.</span></div><div id="yui_3_16_0_1_1432829116296_26597"><span><br></span></div><div id="yui_3_16_0_1_1432829116296_26597"><span>David</span></div><div id="yui_3_16_0_1_1432829116296_26597"><span><br></span></div><div id="yui_3_16_0_1_1432829116296_26596"><br></div> <blockquote style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; margin-top: 5px; padding-left: 5px;" id="yui_3_16_0_1_1432829116296_26520"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1432829116296_26519"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1432829116296_26518"> <div dir="ltr" id="yui_3_16_0_1_1432829116296_26517"> <hr size="1" id="yui_3_16_0_1_1432829116296_26611"> <font size="2" face="Arial" id="yui_3_16_0_1_1432829116296_26521"> <b><span style="font-weight:bold;">From:</span></b> John Macken <john@macken.com><br> <b><span style="font-weight: bold;">To:</span></b> Nature of Light and Particles <general@lists.natureoflightandparticles.org> <br> <b><span style="font-weight: bold;">Sent:</span></b> Thursday, May 28, 2015 10:14 AM<br> <b><span style="font-weight: bold;">Subject:</span></b> [General] de Broglie Waves from Chapter 1<br> </font> </div> <div class="y_msg_container" id="yui_3_16_0_1_1432829116296_26522"><br><div id="yiv7501605372"><style><!--
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--></style><div id="yui_3_16_0_1_1432829116296_26525"><div class="yiv7501605372WordSection1" id="yui_3_16_0_1_1432829116296_26524"><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26523"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26527"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26526">Richard asked a question that jarred me a little bit. The question was, <span style="color:#C00000;">“</span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;color:#C00000;">Is there a quantitative fit to the de Broglie wavelength equation, and if so, why?”</span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26532"> The reason that I said that it jarred me is that I had been proceeding under the assumption that this group understood all the information about how de Broglie waves are connected to light waves. While I independently developed all the information in chapter 1 of my book, I have subsequently found other references which cover the connection between counter-propagating light waves and de Broglie waves. In fact, I discovered that de Broglie himself made this point. The illustrations and the appendix analysis contained in chapter 1 of my book go beyond what others have done. I suggest that you read this information before you will be able to understand my other simulations. </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26533"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26535"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26534">The importance of the concepts in chapter 1 of my book cannot be overstated for any physicist that is attempting to understand the structure of an electron. Figure 1-1 on page 1-5 of the attached “Chapter 1.pdf” illustrates several important points.</span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26553"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">1)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26552">Counter propagating light waves in a moving frame of reference <b>perfectly</b> simulate both de Broglie waves and special relativity effects. In figure 1 the high frequency waves are the light waves while the envelope modulation waves are the equivalent of de Broglie waves. These de Broglie waves have the correct wavelength, the correct phase velocity and the correct group velocity. The wave pattern also exhibits the correct relativistic length contraction. These points are made in the text of the chapter and rigorously proven in the attached appendix. (The mathematical analysis in the appendix was done by Chris Ray of St. Mary’s College.)</span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26555"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">2)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26554">As illustrated in figure 1-1, one complete de Broglie wavelength includes two of the lobe/null combinations. A null occurs when the counter propagating waves are 180 degrees out of phase. The oscillations of the light wave lobes also undergo a 180 degree phase shift between adjacent lobes. This phase shift is hard to see in figure 1-1, but it is easier to see in figure 1-4. If you follow one color through the dark zone, it becomes the opposite color on the other side of the dark zone. This indicates the 180 degree phase shift. The point is that it takes two of these lobes to complete one de Broglie wavelength. This point is included in figure 1-1. </span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26564"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">3)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26563">The counter propagating wave analysis also generates the correct relativistic time dilation if you analyze the frequency of oscillation of the combined light waves. (appendix)</span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26566"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">4)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26565">The counter propagating wave analysis also generates the correct kinetic energy and the correct relativistic corrections to kinetic energy. (appendix)</span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26613"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">5)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26614">One point that I have not made before in the discussion of single loop versus double loop models is that the correct de Broglie waves are only generated if the electron disturbs the surrounding volume at the electron’s Compton angular frequency </span><i><span style="font-size:12.0pt;font-family:"Cambria Math", serif;">ω</span></i><i><sub><span style="font-size:12.0pt;font-family:"Times New Roman", serif;">c</span></sub></i><i><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> = mc<sup>2</sup>/</span></i><i><span style="font-size:12.0pt;font-family:"Cambria Math", serif;">ħ</span></i><i><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> = c/<s>λ</s></span></i><sub><span style="font-size:12.0pt;font-family:"Times New Roman", serif;">c </span></sub><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> which implies a reduced wavelength of: <i><s>λ</s><sub>c</sub> = </i></span><i><span style="font-size:12.0pt;font-family:"Cambria Math", serif;">ħ</span></i><i><span style="font-size:12.0pt;font-family:"Times New Roman", serif;">/mc = c/</span></i><i><span style="font-size:12.0pt;font-family:"Cambria Math", serif;">ω</span></i><i><sub><span style="font-size:12.0pt;font-family:"Times New Roman", serif;">c</span></sub></i><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26612"> In other words, a model of an electron that assumes twice the Compton frequency will not generate the correct de Broglie waves if the counter propagating mechanism is assumed.</span></div><div class="yiv7501605372MsoListParagraph" style="" id="yui_3_16_0_1_1432829116296_26537"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"><span style="">6)<span style="font:7.0pt "Times New Roman";"> </span></span></span><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26536">My particle model had as a requirement that it must be capable of generating the correct de Broglie waves, the correct kinetic energy and the correct relativistic effects. All of this is accomplished by the model chosen since it includes counter propagating waves at the Compton frequency/wavelength in the “external volume” of the electron. </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26538"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26616"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;" id="yui_3_16_0_1_1432829116296_26615">While others in the group are speculating about knots, swirls and spikes, I am running simulations which are generating real testable results. I am generating gravity and electric fields. I am finding previously unknown connections between the gravitational force and the electrostatic force. I am giving a physical description of the distortion of spacetime caused by a charged particle. I welcome a debate about whether an electron is a confined photon or oscillations of the vacuum. </span></div><div class="yiv7501605372MsoNormal" id="yui_3_16_0_1_1432829116296_26617"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;"> </span></div><div class="yiv7501605372MsoNormal"><span style="font-size:12.0pt;font-family:"Times New Roman", serif;">John M. </span></div></div></div></div><br>_______________________________________________<br>If you no longer wish to receive communication from the Nature of Light and Particles General Discussion List at <a ymailto="mailto:davidmathes8@yahoo.com" href="mailto:davidmathes8@yahoo.com">davidmathes8@yahoo.com</a><br><a href="<a href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1" target="_blank">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1</a>"><br>Click here to unsubscribe<br></a><br><br><br></div> </div> </div> </blockquote> </div></body></html>