[General] de Broglie Waves from Chapter 1

[John Macken]

Richard asked a question that jarred me a little bit.  The question was,
“Is there a quantitative fit to the de Broglie wavelength equation, and if
so, why?”  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. 

 

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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