[General] To Infinity and Beyond: zero phase index?

[davidmathes8 at yahoo.com]

Martin
So to pick up this old threadfrom a week ago...
Agreed that phase velocity can have "...any velocity, +/- infinity."
However, the assumption is a EM U(1) symmetry. SU(2) and higher may be a better fit for not only what we observe, but what may be possible although not yet observed.
Non locality or spooky action at a distance should also have a velocity. This phenomena may not be EM. However, when discussing the speed of light, any velocity should be compared to light-like velocity.
What is the velocity or velocity range of entanglement? There appears to be an upper limit but beyond that of c.Bounding the speed of ‘spooky action at a distance

David







 
      From: "Mark, Martin van der" <martin.van.der.mark at philips.com>
 To: "davidmathes8 at yahoo.com" <davidmathes8 at yahoo.com>; Nature of Light and Particles - General Discussion <general at lists.natureoflightandparticles.org> 
 Sent: Tuesday, October 20, 2015 4:53 AM
 Subject: Re: [General] To Infinity and Beyond: zero phase index?
   
#yiv9822537137 #yiv9822537137 -- _filtered #yiv9822537137 {font-family:Helvetica;panose-1:2 11 6 4 2 2 2 2 2 4;} _filtered #yiv9822537137 {font-family:Helvetica;panose-1:2 11 6 4 2 2 2 2 2 4;} _filtered #yiv9822537137 {font-family:Calibri;panose-1:2 15 5 2 2 2 4 3 2 4;} _filtered #yiv9822537137 {font-family:Tahoma;panose-1:2 11 6 4 3 5 4 4 2 4;}#yiv9822537137 #yiv9822537137 p.yiv9822537137MsoNormal, #yiv9822537137 li.yiv9822537137MsoNormal, #yiv9822537137 div.yiv9822537137MsoNormal {margin:0cm;margin-bottom:.0001pt;font-size:12.0pt;}#yiv9822537137 h1 {margin-right:0cm;margin-left:0cm;font-size:24.0pt;}#yiv9822537137 a:link, #yiv9822537137 span.yiv9822537137MsoHyperlink {color:blue;text-decoration:underline;}#yiv9822537137 a:visited, #yiv9822537137 span.yiv9822537137MsoHyperlinkFollowed {color:purple;text-decoration:underline;}#yiv9822537137 p.yiv9822537137MsoListParagraph, #yiv9822537137 li.yiv9822537137MsoListParagraph, #yiv9822537137 div.yiv9822537137MsoListParagraph {margin-top:0cm;margin-right:0cm;margin-bottom:0cm;margin-left:36.0pt;margin-bottom:.0001pt;font-size:12.0pt;}#yiv9822537137 span.yiv9822537137Heading1Char {color:#365F91;font-weight:bold;}#yiv9822537137 span.yiv9822537137EmailStyle18 {color:#1F497D;}#yiv9822537137 .yiv9822537137MsoChpDefault {font-size:10.0pt;} _filtered #yiv9822537137 {margin:72.0pt 72.0pt 72.0pt 72.0pt;}#yiv9822537137 div.yiv9822537137WordSection1 {}#yiv9822537137 _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {} _filtered #yiv9822537137 {}#yiv9822537137 ol {margin-bottom:0cm;}#yiv9822537137 ul {margin-bottom:0cm;}#yiv9822537137 David and all, Just for the record, there are three kinds of velocity for electromagnetic waves: 1)     The phase velocity, it governs refraction and as you may guess, the refractive index, n, is the material property related to it. May have any velocity, +/- infinity.  v_phase = omega/k 2)     The group velocity, this how fast a pulse of light moves and it is always slower than c. v_group = domega/dk 3)     The energy transport velocity, relevant for resonant structures, always slower than c v_energy = see Amsterdam effect and the book by Brillouin on propagation Then (as indicated in the first point), on top of this there is the possibility of negative epsilon and mu leading to negative refractive index. This may happen at a resonance (small bandwidth, limited response time), and is associated with so-called perfect lenses and optical cloaks. Can be made as a meta material. It amplifies the near-field (longitudinal component). I hope this helps some. Cheers, Martin    Dr. Martin B. van der Mark Principal Scientist, Minimally Invasive Healthcare   Philips Research Europe - Eindhoven High Tech Campus, Building 34 (WB2.025) Prof. Holstlaan 4 5656 AE  Eindhoven, The Netherlands Tel: +31 40 2747548    

From: General [mailto:general-bounces+martin.van.der.mark=philips.com at lists.natureoflightandparticles.org]On Behalf Of davidmathes8 at yahoo.com
Sent: dinsdag 20 oktober 2015 1:26
To: Nature of Light and Particles - General Discussion; Richard Gauthier; Chip Akins
Subject: [General] To Infinity and Beyond: zero phase index?    
Rich, Chip, John W, Martin et al
 
I've wondered if the photon or quanta within the confines of an electron could really travel at FTL velocities. 
 
Indeed, one of the parametric models Richard has proposed does fit known experiments to date. 
    So here is an interesting tool for experimentalists: an on-chip zero-index metamaterial. 
 http://www.nature.com/nphoton/journal/vaop/ncurrent/full/nphoton.2015.198.html
 "This novel on-chip metamaterial platform opens the door to exploring the physics of zero index and its applications in integrated optics."    Best    David 
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