<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=us-ascii"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Tahoma;
panose-1:2 11 6 4 3 5 4 4 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p
{mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
p.yiv3335289798msoacetate, li.yiv3335289798msoacetate, div.yiv3335289798msoacetate
{mso-style-name:yiv3335289798msoacetate;
mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
p.yiv3335289798msonormal, li.yiv3335289798msonormal, div.yiv3335289798msonormal
{mso-style-name:yiv3335289798msonormal;
mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
p.yiv3335289798msochpdefault, li.yiv3335289798msochpdefault, div.yiv3335289798msochpdefault
{mso-style-name:yiv3335289798msochpdefault;
mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
p.yiv3335289798msonormal1, li.yiv3335289798msonormal1, div.yiv3335289798msonormal1
{mso-style-name:yiv3335289798msonormal1;
mso-style-priority:99;
margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
p.yiv3335289798msoacetate1, li.yiv3335289798msoacetate1, div.yiv3335289798msoacetate1
{mso-style-name:yiv3335289798msoacetate1;
mso-style-priority:99;
margin:0in;
margin-bottom:.0001pt;
font-size:8.0pt;
font-family:"Tahoma",sans-serif;}
p.yiv3335289798msochpdefault1, li.yiv3335289798msochpdefault1, div.yiv3335289798msochpdefault1
{mso-style-name:yiv3335289798msochpdefault1;
mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:10.0pt;
font-family:"Times New Roman",serif;}
span.yiv3335289798msohyperlink
{mso-style-name:yiv3335289798msohyperlink;}
span.yiv3335289798msohyperlinkfollowed
{mso-style-name:yiv3335289798msohyperlinkfollowed;}
span.yiv3335289798balloontextchar
{mso-style-name:yiv3335289798balloontextchar;}
span.yiv3335289798emailstyle20
{mso-style-name:yiv3335289798emailstyle20;}
span.yiv3335289798emailstyle21
{mso-style-name:yiv3335289798emailstyle21;}
span.yiv3335289798emailstyle22
{mso-style-name:yiv3335289798emailstyle22;}
span.yiv3335289798msohyperlink1
{mso-style-name:yiv3335289798msohyperlink1;
color:blue;
text-decoration:underline;}
span.yiv3335289798msohyperlinkfollowed1
{mso-style-name:yiv3335289798msohyperlinkfollowed1;
color:purple;
text-decoration:underline;}
span.yiv3335289798balloontextchar1
{mso-style-name:yiv3335289798balloontextchar1;
font-family:"Tahoma",sans-serif;}
span.yiv3335289798emailstyle201
{mso-style-name:yiv3335289798emailstyle201;
color:black;}
span.yiv3335289798emailstyle211
{mso-style-name:yiv3335289798emailstyle211;
font-family:"Calibri",sans-serif;
color:#1F497D;}
span.yiv3335289798emailstyle221
{mso-style-name:yiv3335289798emailstyle221;
color:black;}
span.EmailStyle36
{mso-style-type:personal;
font-family:"Calibri",sans-serif;
color:#1F497D;}
span.EmailStyle37
{mso-style-type:personal;
font-family:"Calibri",sans-serif;
color:#1F497D;}
span.EmailStyle38
{mso-style-type:personal-reply;
color:black;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='color:black'>Hi John D<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'>Do you envision a 3D model which is a 3D grid of space with your prescribed wave propagating through the 3D mesh? Or are you suggesting a 2D wave representation?<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'>Are you proposing that two EM waves interact to diffract each other? Has this ever been seen in experiment?<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 suspect that a strong source of angular momentum <b>must also be present</b> in order to catalyze electron-positron pair production (like when gamma rays strike an atomic nucleus). So I think this means the waves will otherwise just pass through each other and <b>the conditions for confinement will not exist, absent this additional source of angular momentum</b>.<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><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'>From:</span></b><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'> General [mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org] <b>On Behalf Of </b>John Duffield<br><b>Sent:</b> Thursday, April 30, 2015 2:12 AM<br><b>To:</b> 'Nature of Light and Particles - General Discussion'<br><b>Subject:</b> Re: [General] Electron<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>Martin:<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>No probs re mass and gravity. It’s good to talk. And if there was never any confusion, and we all agreed about everything, whatever would we talk about?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>David:<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>I don’t have any issues with the horn torus or spindle-sphere torus. In a previous email I’ve referred to “inflating” the ring torus through these stages. See Adrian Rossiter’s </span><a href="http://www.antiprism.com/album/860_tori/index.html"><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif'>antiprism</span></a><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'> for torus animations. See Martin’s picture below? Look at the cut end, it’s a bit like a slice of onion. Mentally add more onion rings around those that are already there, and the torus gets more and more spherical. <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><img border=0 width=328 height=272 id="Picture_x0020_2" src="cid:image001.jpg@01D08318.6E155550" alt="cid:image001.jpg@01D08318.6E155550"></span><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>There is no charge at the centre. The charge is the twist, the winding, the knottedness, the vorticity. Undo it with the opposite twist, and instead of two field variations going round at c looking like standing fieldall, you’ve got two field variations moving linearly at c.<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>Chip:<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>Is there any chance you could animate a wave in space, like this?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><img border=0 width=640 height=157 id="Picture_x0020_3" src="cid:image002.gif@01D08318.6E155550" alt="cid:image002.gif@01D08318.6E155550"></span><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>It’s a bit like a wave in a rubber mat, or a seismic wave. Only this is a wave of electromagnetic four-potential. The spatial derivative of this gives the sinusoidal electric waveform, and the time-derivative gives the sinusoidal magnetic waveform. See the horizontal lines? Where the tilt is steepest the electric sine wave is highest. Where the tilting is fastest is where the magnetic sine wave is highest. L</span><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666'>ook at </span><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation"><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#0033CC'>electromagnetic radiation</span></a><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666'> on Wiki. Read the </span><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation#Derivation_from_electromagnetic_theory"><span style='font-size:11.0pt;font-family:"Calibri",sans-serif'>Derivation >From Electromagnetic Theory</span></a><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#666666'> </span><span style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F4E79'>section, and you’ll see this: <em><span style='font-family:"Calibri",sans-serif'>“the curl operator on one side of these equations results in first-order spatial derivatives of the wave solution, while the time-derivative on the other side of the equations, which gives the other field, is first order in time”</span></em>. </span><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F4E79'>After that I’d be very interested in an animation where two such waves pass each other and displace each other’s path, so much so that each wave ends up moving through itself. <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>Regards<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-GB style='font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D'>John D<o:p></o:p></span></p></div></body></html>