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<div style="direction: ltr;font-family: Tahoma;color: #000000;font-size: 10pt;">Dear David,<br>
<br>
Mu. "Putting things in" in a symptom of the current disease in physics. The first question is anyway:which SU(2)? The standard model plonks in lots of them .. spin. isospin, lepton number ... loads more. It also sticks in a U(1) and a couple of SU(3)'s (that
of "colour" and "flavour"). it is often stated that the standard model is U(1) CROSS SU(2) CROSS SU(3). Not so, It is more like U(1) EM CROSS U(1) weak CROSS SU(2) spin CROSS SU(2) ln CROSS SU(2) CROSS SU(3) flavour CROSS SU(3) colour cross ... Each time
you plonk in another a-priori "group" you add levels of complexity to the starting point, such that the standard model as it stands has about 50 of them. Also, putting in any group a-priori then removes the possibility of explaining where the group has come
from. Any time any experimentalist finds a new symmettry - whammo - some daft theorist whacks it in as a starting point. One does not want to stick them in - one wants to derive them. I get SU(2) spin out, already. Why would I ever, then, want to put it in?<br>
<br>
Regards, John.<br>
<div style="font-family: Times New Roman; color: #000000; font-size: 16px">
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<div style="direction: ltr;" id="divRpF961264"><font face="Tahoma" color="#000000" size="2"><b>From:</b> davidmathes8@yahoo.com [davidmathes8@yahoo.com]<br>
<b>Sent:</b> Wednesday, November 11, 2015 4:50 AM<br>
<b>To:</b> John Williamson<br>
<b>Subject:</b> Re: SU(2) equation set<br>
</font><br>
</div>
<div></div>
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<div style="color:#000; background-color:#fff; font-family:HelveticaNeue,Helvetica Neue,Helvetica,Arial,Lucida Grande,sans-serif; font-size:16px">
<div><span>John</span></div>
<div id="yui_3_16_0_1_1447216954511_3107"><span><br>
</span></div>
<div id="yui_3_16_0_1_1447216954511_3102"><span>The straw man failed.</span></div>
<div id="yui_3_16_0_1_1447216954511_3108"><span><br>
</span></div>
<div id="yui_3_16_0_1_1447216954511_3101"><span id="yui_3_16_0_1_1447216954511_3100">Let me approach this from a different direction. Just for the record, I'm not interested in writing a paper. I'm simply interested in getting to SU(2). How would you add SU(2)
to your current equation set?</span></div>
<div id="yui_3_16_0_1_1447216954511_3096"><span><br>
</span></div>
<div id="yui_3_16_0_1_1447216954511_3096"><span>David</span></div>
<br>
<blockquote id="yui_3_16_0_1_1447216954511_3046" style="border-left:2px solid rgb(16,16,255); margin-left:5px; margin-top:5px; padding-left:5px">
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<font id="yui_3_16_0_1_1447216954511_3047" face="Arial" size="2"><b><span style="font-weight:bold">From:</span></b> John Williamson <John.Williamson@glasgow.ac.uk><br>
<b><span style="font-weight:bold">To:</span></b> "davidmathes8@yahoo.com" <davidmathes8@yahoo.com>
<br>
<b><span style="font-weight:bold">Sent:</span></b> Tuesday, November 10, 2015 8:39 PM<br>
<b><span style="font-weight:bold">Subject:</span></b> RE: SU(2) equation set<br>
</font></div>
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Hello David,<br clear="none">
<br clear="none">
Had a look at the equations but I think there is a problem as you are kind of putting things in twice. The vector potential appears in my equations as a vector - you are also putting it in as a complex number - which both expands the algebra and confuses the
situation as you are using two different dimensions for the same quantity. I think the same problem exist (by the look of it) for the Barret formulation itself. There is a similar problem in Dirac QM which, famously, led Dirac into the mists of confusion as
well.<br clear="none">
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Also, I see the U(1) part of what you are doing - but where is the SU(2) part?<br clear="none">
<br clear="none">
Regards, John.<br clear="none">
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<div class="yiv5286122926yqt8670471533" id="yiv5286122926yqt71629">
<div id="yui_3_16_0_1_1447216954511_3109" style="font-family:Times New Roman; color:#000000; font-size:16px">
<hr tabindex="-1">
<div id="yiv5286122926divRpF343849" style="direction:ltr"><font id="yui_3_16_0_1_1447216954511_3110" face="Tahoma" color="#000000" size="2"><b>From:</b> davidmathes8@yahoo.com [davidmathes8@yahoo.com]<br clear="none">
<b>Sent:</b> Wednesday, November 11, 2015 3:38 AM<br clear="none">
<b>To:</b> John Williamson<br clear="none">
<b>Subject:</b> SU(2) equation set<br clear="none">
</font><br clear="none">
</div>
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<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751">John</div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751"><br clear="none">
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<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751">As a raw draft I've combined the Williamson equations with Barrett equations to produce a framework for a U(1) X SU(2) version. </div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751"><br clear="none">
</div>
<div dir="ltr" id="yiv5286122926yui_3_16_0_1_1447211781778_3751">The general approach has been to use the Williamson notation since the primary focus is on electron modeling regardless of whether the photonic electron or quanta electron are used. Also, these
equations remain to vetted properly and represent a working framework instead of a full matrix with appropriate interpretation. </div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751"><br clear="none">
</div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751">Right now, there is confusion in notation with a conflicts in the use of A and B. </div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751"><br clear="none">
</div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751">See attached.</div>
<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751"><br clear="none">
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<div id="yiv5286122926yui_3_16_0_1_1447211781778_3751">David</div>
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<font id="yiv5286122926yui_3_16_0_1_1447211781778_4488" face="Arial" size="2"><b><span style="font-weight:bold">From:</span></b> "davidmathes8@yahoo.com" <davidmathes8@yahoo.com><br clear="none">
<b><span style="font-weight:bold">To:</span></b> John Williamson <John.Williamson@glasgow.ac.uk>
<br clear="none">
<b><span style="font-weight:bold">Sent:</span></b> Tuesday, November 10, 2015 8:25 AM<br clear="none">
<b><span style="font-weight:bold">Subject:</span></b> Re: Slide Deck<br clear="none">
</font></div>
<div class="yiv5286122926y_msg_container" id="yiv5286122926yui_3_16_0_1_1447211781778_3992">
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<div id="yiv5286122926yui_3_16_0_1_1447211781778_3990" style="color:#000; background-color:#fff; font-family:HelveticaNeue,Helvetica Neue,Helvetica,Arial,Lucida Grande,sans-serif; font-size:16px">
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10495"><span>John</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10496"><span><br clear="none">
</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497">Thank you. now I recall these papers this summer's work. So not that winter is begun (raining in California), I'll reread them.</div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497"><br clear="none">
</div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497">Barrett did have extensions to Maxwell-Heaviside equations. I'm wondering if a similar treat can be extended to your additional set of four and the consequences thereof. SU(2), no SU(3).</div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497"><br clear="none">
</div>
<div dir="ltr" id="yiv5286122926yui_3_16_0_1_1447171858799_10497"><a rel="nofollow" shape="rect" id="yiv5286122926yui_3_16_0_1_1447171858799_12694" href="http://aflb.ensmp.fr/AFLB-26j/aflb26jp055.pdf" target="_blank">http://aflb.ensmp.fr/AFLB-26j/aflb26jp055.pdf</a><br clear="none">
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<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497">Best regards my friend,</div>
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<div id="yiv5286122926yui_3_16_0_1_1447171858799_10497">David</div>
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<hr size="1">
<font id="yiv5286122926yui_3_16_0_1_1447171858799_13235" face="Arial" size="2"><b id="yiv5286122926yui_3_16_0_1_1447171858799_13274"><span id="yiv5286122926yui_3_16_0_1_1447171858799_13273" style="font-weight:bold">From:</span></b> John Williamson <John.Williamson@glasgow.ac.uk><br clear="none">
<b><span style="font-weight:bold">To:</span></b> "davidmathes8@yahoo.com" <davidmathes8@yahoo.com>
<br clear="none">
<b><span style="font-weight:bold">Sent:</span></b> Monday, November 9, 2015 11:14 PM<br clear="none">
<b id="yiv5286122926yui_3_16_0_1_1447171858799_13276"><span id="yiv5286122926yui_3_16_0_1_1447171858799_13275" style="font-weight:bold">Subject:</span></b> RE: Slide Deck<br clear="none">
</font></div>
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<div id="yiv5286122926yui_3_16_0_1_1447171858799_12864" style="direction:ltr; font-family:Tahoma; color:#000000; font-size:10pt">
Hello David,<br clear="none">
<br clear="none">
SPIE papers at:<font id="yiv5286122926yui_3_16_0_1_1447211781778_4470" face="Tahoma" color="black" size="2"><span dir="ltr" id="yiv5286122926yui_3_16_0_1_1447211781778_4469" style="font-size:10pt"><br clear="none">
<br clear="none">
<a rel="nofollow" shape="rect" id="yiv5286122926yui_3_16_0_1_1447211781778_4468" href="http://eprints.gla.ac.uk/110952/1/110952.pdf" target="_blank">http://eprints.gla.ac.uk/110952/1/110952.pdf</a><br clear="none">
<a rel="nofollow" shape="rect" id="yiv5286122926yui_3_16_0_1_1447211781778_4472" href="http://eprints.gla.ac.uk/110966/1/110966.pdf" target="_blank">http://eprints.gla.ac.uk/110966/1/110966.pdf</a><br clear="none">
<br clear="none">
Regards, John.</span></font><br clear="none">
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<br clear="none">
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<div class="yiv5286122926yqt8981336933" id="yiv5286122926yqt04806">
<div id="yiv5286122926yui_3_16_0_1_1447171858799_12863" style="font-family:Times New Roman; color:#000000; font-size:16px">
<hr tabindex="-1">
<div id="yiv5286122926divRpF276520" style="direction:ltr"><font id="yiv5286122926yui_3_16_0_1_1447211781778_4474" face="Tahoma" color="#000000" size="2"><b>From:</b> davidmathes8@yahoo.com [davidmathes8@yahoo.com]<br clear="none">
<b>Sent:</b> Tuesday, November 10, 2015 5:09 AM<br clear="none">
<b>To:</b> John Williamson<br clear="none">
<b>Subject:</b> Slide Deck<br clear="none">
</font><br clear="none">
</div>
<div></div>
<div id="yiv5286122926yui_3_16_0_1_1447171858799_12862">
<div id="yiv5286122926yui_3_16_0_1_1447171858799_12861" style="color:#000; background-color:#fff; font-family:HelveticaNeue,Helvetica Neue,Helvetica,Arial,Lucida Grande,sans-serif; font-size:16px">
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7312"><span>John</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span><br clear="none">
</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span id="yiv5286122926yui_3_16_0_1_1447211781778_4687">Do you have a slide deck summarizing the model? </span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span><br clear="none">
</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span>Best</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span><br clear="none">
</span></div>
<div id="yiv5286122926yui_3_16_0_1_1447130421153_7311"><span>David</span></div>
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