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Hi Al,<br>
<br>
true, in the frame of the particle the dB wavelength is infinite.
Because in its own frame the momentum of the particle is 0. The
particle oscillates with the frequency of the particle's
Zitterbewegung (which background fields do you have in mind? De
Brogie does not mention them). This oscillation is in no
contradiction with this wavelength as the phase speed is also
infinite. For the imagination, the latter means that all points of
that wave oscillate with the same phase at any point. <br>
<br>
Which background waves do you have in mind? What is the CNONOICAL
momentum? And what about E&M interactions? De Broglie has not
related his wave to a specific field. An E&M field would anyway
have no effect in the case of neutron scattering for which the same
de Broglie formalism is used. And into which frame do you see the
wave Lorentz-transformed?<br>
<br>
So, an electron in his frame has an infinite wavelength and in his
frame has the double slit moving towards the particle. How can an
interference at the slits occur? No interference can happen under
these conditions. But, as I have explained in the paper, the normal
wave which accompanies the electron by normal rules (i.e. phase
speed = c) will have an interference with its own reflection, which
has then a wavelength which fits to the expectation of de Broglie.
But that is a very local event (in a range of approx. 10^-12 m for
the electron) and it is not at all a property of the electron as de
Broglie has thought. <br>
<br>
To say it again: The de Broglie wavelength cannot be a steady
property of the particle. But Schrödinger and Dirac have
incorporated it into their QM equations with this understanding.<br>
<br>
If I should have misunderstood you, please show the mathematical
calculations which you mean.<br>
<br>
Ciao, Albrecht<br>
<br>
<br>
<div class="moz-cite-prefix">Am 05.02.2016 um 19:20 schrieb
<a class="moz-txt-link-abbreviated" href="mailto:af.kracklauer@web.de">af.kracklauer@web.de</a>:<br>
</div>
<blockquote
cite="mid:trinity-750dc981-54cd-4134-bea1-3b19e9aed8a4-1454696414194@3capp-webde-bap05"
type="cite">
<div style="font-family: Verdana;font-size: 12.0px;">
<div>
<div>Hi: Albrecht:</div>
<div> </div>
<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>
<div> </div>
<div>ciao, L</div>
<div>
<div name="quote" style="margin:10px 5px 5px 10px; padding:
10px 0 10px 10px; border-left:2px solid #C3D9E5;
word-wrap: break-word; -webkit-nbsp-mode: space;
-webkit-line-break: after-white-space;">
<div style="margin:0 0 10px 0;"><b>Gesendet:</b> Freitag,
05. Februar 2016 um 12:28 Uhr<br>
<b>Von:</b> "Albrecht Giese" <a class="moz-txt-link-rfc2396E" href="mailto:genmail@a-giese.de"><genmail@a-giese.de></a><br>
<b>An:</b> "Richard Gauthier"
<a class="moz-txt-link-rfc2396E" href="mailto:richgauthier@gmail.com"><richgauthier@gmail.com></a>,
<a class="moz-txt-link-abbreviated" href="mailto:general@lists.natureoflightandparticles.org">general@lists.natureoflightandparticles.org</a><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 moz-do-not-send="true"
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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