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<div>Hi: Albrecht:</div>
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<div>Your arguments don't resonate with me. The deB' wave length is infinite in the particles frame: it is the standing wave formed by the inpinging background waves having a freq. = the particle's Zitterbewegung. If these TWO waves are each Lorentz x-formed to another frame and added there, they exhibit exactly the DeB' modulation wavelength proportional to the particle's momentum. The only mysterious feature then is that the proportionality is to the CNONICAL momentum, i.e., including the vector potential of whatever exterior E&M interactions are in-coming. Nevertheless, everything works our without contradiction. A particle oscillates in place at its Zitter freq. while the Zitter signals are modulated by the DeB' wavelength as they move through slits, say.</div>
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<div>ciao, L</div>
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<div style="margin:0 0 10px 0;"><b>Gesendet:</b> Freitag, 05. Februar 2016 um 12:28 Uhr<br/>
<b>Von:</b> "Albrecht Giese" <genmail@a-giese.de><br/>
<b>An:</b> "Richard Gauthier" <richgauthier@gmail.com>, general@lists.natureoflightandparticles.org<br/>
<b>Betreff:</b> Re: [General] De Broglie Wave</div>
<div name="quoted-content">Hi Richard and Al, hi All,<br/>
<br/>
recently we had a discussion here about two topics:<br/>
<br/>
1. The functionality of the de Broglie wave, particularly its wavelength<br/>
if seen from a different inertial system. Such cases lead to illogical<br/>
situations.<br/>
2. The problem of the apparent asymmetry at relativistic dilation.<br/>
<br/>
I have investigated these cases and found that they are in some way<br/>
connected. Relativistic dilation is not as simple as it is normally<br/>
taken. It looks asymmetric if it is incorrectly treated. An asymmetry<br/>
would falsify Special Relativity. But it is in fact symmetrical if<br/>
properly handled and understood.<br/>
<br/>
It is funny that both problems are connected to each other through the<br/>
fact that de Broglie himself has misinterpreted dilation. From this<br/>
incorrect understanding he did not find another way out than to invent<br/>
his "theorem of phase harmony"; with all logical conflicts resulting<br/>
from this approach.<br/>
<br/>
If relativity is properly understood, the problem seen by de Broglie<br/>
does not exist. Equations regarding matter waves can be derived which<br/>
work properly, i.e. conform to the experiments but avoid the logical<br/>
conflicts.<br/>
<br/>
As announced, I have composed a paper about this. It can be found at:<br/>
<br/>
<a href="https://www.academia.edu/21564534/The_Conflict_with_the_De_Broglie_Wavelength" target="_blank">https://www.academia.edu/21564534/The_Conflict_with_the_De_Broglie_Wavelength</a><br/>
.<br/>
<br/>
I thank Richard Gauthier for the discussion which we had about this<br/>
topic. It caused me to investigate the problem and to find a solution.<br/>
<br/>
Albrecht<br/>
<br/>
<br/>
<br/>
<br/>
<br/>
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