LIGHT SPHERE (BASED ON THE LIGHT CONE)
Published in physic.philica.com
Using the Minkowski flat space metric (timelike configuration)
and the equation for the spacetime point
for a light cone type of visualization in which (S = 0)
the equation becomes
which becomes the sphere with radius cdt
using the Minkowski metric for positive flat space
the dx, dy, dz coordinates are based on a center
(0,0,0) time t after an electromagnetic event at (0,0,0)
the SPACETIME coordinate becomes (0,0,0,t)
In order to generate an easy to visualize image
I suggest a (LIGHT) sphere surface radiating from the
Event location at the velocity c (speed of light in a vacuum).
Note that AB must be reversed to conform with the original metric
This demonstrates that the time function is zero at the surface of the sphere and has a positive value at the electromagnetic event location
This figure shows that the spacetime inside the sphere represents the PAST, the surface represents the PRESENT (t=0), and the FUTURE is the space outside the light sphere.
The surface of the light sphere represents the cone center (t=0) for the light cone (where the past and the future cones meet).
Information about this Article
Published on Thursday 26th October, 2006 at 01:26:57.
added 26th October, 2006 at 15:40:49
This is the first of a series of articles explaining the possible use of the “Light Sphere” LS as a direct relatioship between the “Time Line” and the “Light Cone” LC
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