[General] de Broglie Waves from Chapter 1

David Mathes davidmathes8 at yahoo.com
Thu May 28 10:19:42 PDT 2015


John
I am...speechless.
David

 
      From: John Macken <john at macken.com>
 To: Nature of Light and Particles <general at lists.natureoflightandparticles.org> 
 Sent: Thursday, May 28, 2015 10:14 AM
 Subject: [General] de Broglie Waves from Chapter 1
   
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I suggest that you read this information before you will be able to understand my other simulations.   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.1)     Counter propagating light waves in a moving frame of reference perfectly 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.)2)     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. 3)     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)4)     The counter propagating wave analysis also generates the correct kinetic energy and the correct relativistic corrections to kinetic energy. (appendix)5)     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 ωc = mc2/ħ = c/λc  which implies a reduced wavelength of:  λc = ħ/mc = c/ωc  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.6)     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.   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.      John M.  
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