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<DIV><FONT color=#000080 size=2 face=Arial>Yes Chip,</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>Certainly the momentum of the
confined wave increases - but that increased momentum should not ALL be reckoned
as ANGULAR momentum of the electron.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>We know that a component of the
momentum of that photon is linear - it's the linear momentum of the electron in
motion. There is another component of that photon that's orthogonal to
that, i.e. in the direction of the cyclic motion of the photon. As the
linear velocity of the electron increases, the linear component of the photon
momentum increases - however the orthogonal, cyclic, component of that photon
momentum does NOT increase, since the 'pitch angle' of the helical motion of
that photon increases with linear electron velocity, and so also with
photon frequency, so as to precisely cancel out the effect of that increased
frequency in the resolved-component cyclic direction.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>The angular momentum of the electron,
dictated by the angular momentum contribution of the photon, does NOT depend on
the FULL momentum of the photon - it ONLY depends on that component of the
photon that acts cyclically, i.e. the component that's orthogonal to the linear
motion of the photon. That component remains constant (as long as the
radius of the photon cycle remains constant).</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>For example, if an electron is
travelling with linear speed 0.6c then its formative photon is travelling in a
helical path which, if we were to flatten it out (as in relativistic
energy-momentum relation) we'd find that formative photon having a linear motion
component of 0.6c and cyclic speed component of 0.8c. This means that the
ANGULAR momentum imparted by the photon will only be 0.8 of that which it would
give if it were travelling fully cyclically at speed c (as for a static
particle). Since the frequency of the photon will be increased by a gamma
factor of 1/0.8 for such motion, the decreased (0.8) contribution of momentum
for increased (1/0.8) frequency will be exactly what it was for the static
particle.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>I hope that helps make things
clearer.</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial></FONT> </DIV>
<DIV><FONT color=#000080 size=2 face=Arial>Best regards,</FONT></DIV>
<DIV><FONT color=#000080 size=2 face=Arial>Grahame</FONT></DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV>----- Original Message ----- </DIV>
<BLOCKQUOTE
style="BORDER-LEFT: #000080 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: 0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
<DIV
style="FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black"><B>From:</B>
<A title=chipakins@gmail.com href="mailto:chipakins@gmail.com">Chip Akins</A>
</DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A
title=general@lists.natureoflightandparticles.org
href="mailto:general@lists.natureoflightandparticles.org">'Nature of Light and
Particles - General Discussion'</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Wednesday, July 06, 2016 5:15
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: [General] double photon
cycle, subjective v objective realities</DIV>
<DIV><BR></DIV>
<DIV class=WordSection1>
<P class=MsoNormal><SPAN style="COLOR: black">Hi Grahame<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black"><o:p> </o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black">I think my problem is that I am
not yet fully understanding your rationale.<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black">When I do the math, using my
understanding of what you are saying, I get an increasing spin angular
momentum, principally due to the momentum of the confined wave
increasing. So I am not yet following your logic well enough to
understand.<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black"><o:p> </o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black">Chip<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black"><o:p> </o:p></SPAN></P>
<DIV>
<DIV
style="BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; PADDING-RIGHT: 0in; BORDER-TOP: #e1e1e1 1pt solid; BORDER-RIGHT: medium none; PADDING-TOP: 3pt">
<P class=MsoNormal><B><SPAN
style="FONT-FAMILY: 'Calibri',sans-serif; FONT-SIZE: 11pt">From:</SPAN></B><SPAN
style="FONT-FAMILY: 'Calibri',sans-serif; FONT-SIZE: 11pt"> General
[mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org]
<B>On Behalf Of </B>Dr Grahame Blackwell<BR><B>Sent:</B> Wednesday, July 06,
2016 7:55 AM<BR><B>To:</B> Nature of Light and Particles - General Discussion
<general@lists.natureoflightandparticles.org><BR><B>Subject:</B> Re:
[General] double photon cycle, subjective v objective
realities<o:p></o:p></SPAN></P></DIV></DIV>
<P class=MsoNormal><o:p> </o:p></P>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">Hi
Chip,</SPAN><o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal> <o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">You and
Richard have both referred to experiments demonstrating (or at least
indicating) reduction in size of an electron with increasing
speed.</SPAN><o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal> <o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">I'm not
familiar with these experimental findings, nor have I been able to find them
by searching. I'm guessing that such findings must be made by inference,
since direct measurement by any means is presumably out of the question.
I'd be most interested to see any papers detailing these experimental
findings and how they were derived, if either of you could send them to
me. Many thanks.</SPAN><o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal> <o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">Chip,
you also asked specifically how I could reconcile invariant electron spin
momentum with photon momentum in the context of increasing frequency with
increasing speed of motion. I'd be interested to hear what you thought
of my rationale for that, based on linear and cyclic components of photon
momentum - since this appears to me to exactly balance and give that invariant
momentum with invariant electron diameter.</SPAN><o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal> <o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">Best
regards,</SPAN><o:p></o:p></P></DIV>
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">Grahame</SPAN><o:p></o:p></P></DIV>
<BLOCKQUOTE
style="BORDER-BOTTOM: medium none; BORDER-LEFT: navy 1.5pt solid; PADDING-BOTTOM: 0in; MARGIN: 5pt 0in 5pt 3.75pt; PADDING-LEFT: 4pt; PADDING-RIGHT: 0in; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0in">
<DIV>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt">----- Original
Message ----- <o:p></o:p></SPAN></P></DIV>
<DIV>
<P style="BACKGROUND: #e4e4e4" class=MsoNormal><B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt">From:</SPAN></B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt"> <A
title=chipakins@gmail.com href="mailto:chipakins@gmail.com">Chip Akins</A>
<o:p></o:p></SPAN></P></DIV>
<DIV>
<P class=MsoNormal><B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt">To:</SPAN></B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt"> <A
title=general@lists.natureoflightandparticles.org
href="mailto:general@lists.natureoflightandparticles.org">'Nature of Light
and Particles - General Discussion'</A> <o:p></o:p></SPAN></P></DIV>
<DIV>
<P class=MsoNormal><B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt">Sent:</SPAN></B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt"> Tuesday, July 05,
2016 2:15 PM<o:p></o:p></SPAN></P></DIV>
<DIV>
<P class=MsoNormal><B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt">Subject:</SPAN></B><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; FONT-SIZE: 10pt"> Re: [General]
double photon cycle, subjective v objective
realities<o:p></o:p></SPAN></P></DIV>
<DIV>
<P class=MsoNormal><o:p> </o:p></P></DIV>
<P class=MsoNormal><SPAN style="COLOR: black">Hi Richard and
Grahame<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black"><o:p> </o:p></SPAN></P>
<P class=MsoNormal><SPAN style="COLOR: black">The three of us have different
models for the confined energy propagation within the
electron.<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN
style="FONT-FAMILY: 'Arial',sans-serif; COLOR: navy; FONT-SIZE: 10pt">...
etc</SPAN><SPAN style="COLOR: black"><o:p></o:p></SPAN></P></BLOCKQUOTE></DIV>
<P>
<HR>
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