alt.sci.physics.new-theories

PSR Phase-Space-Relativity (8D)
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More coming up later this year...

Build on OCTONIONS, a few definitions:

The momentumEnergy P-octonion (OP):

OP = (will be added later)
(Unit kg*meter/second)

The SpaceTime R-Octonion (OR):

OR = c*(t-to) + j*(x-x0) + k*(y-y0) + l*(z-z0)
+ i*h*c/(E-E0) + ij*h*c/(px-px0)
+ ik*h*c/(py-py0) + il*h*c/(pz-pz0)
(Unit meter)

Note: OR is an equivalent to a displacement
4-vector deltaR and not to a position 4-Vector.
Thanks to TR for reminding me, but I will still
use the notation OR instead of 'Octonion-Delta-R'
...

FOR objects with constant velocity:

PSR -> SR (Ordinary Special Relativity)

If I may say so. As I said, more later...


:-) PC

PS. In PSR the momentum '4-Vector' does NOT in general
point in the same direction as the velocity '4-Vector'!
This is a/the major difference compared with GR !!!

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Try to study octonions and quaternions:
/wiki/Quaternions
/wiki/Octonions

- And something new IS going on with quaternions: (I C)
/wiki/Hypercomplex_manifold