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October 13th, 2016, 04:25 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 394 Thanks: 27 Math Focus: Number theory  N relative photons: N1 dimensional velocity space
In spacetime, photons move relative to each other at light speed. A simple model of N elementary bosons (e.g., photons) of equal relative velocities is that of a N1 dimensional velocity space regular polytope. Spacetime relative to such a regular polytope might define a horizon moving at velocity c.
Last edited by Loren; October 13th, 2016 at 04:59 PM. 
October 13th, 2016, 05:08 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,661 Thanks: 648 
Is there a question?

October 14th, 2016, 02:22 AM  #3 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,133 Thanks: 719 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
Special relativity can probably answer any problems you might have with photons and relative speeds.

October 15th, 2016, 02:54 PM  #4 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 394 Thanks: 27 Math Focus: Number theory 
I tried to state how the constant light speed of relativity among N photons might be represented innovatively by a regular polytope in at least N1 dimensional space. A regular polytope exhibits equal distances among its vertices (here equal relative velocities in a higherdimensional velocity space): point, line segment, triangle, tetrahedron, hypertetrahedron, etc., for 1, 2, 3, 4, 5... photons. N equidistant photons require a N1 dimensional polytope. As the number of photons approaches infinity, the regular polytope approaches a Ndimensional sphere (horizon). Last edited by Loren; October 15th, 2016 at 02:57 PM. 

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dimensional, photons, relative, space, velocity 
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