Mathematics – Logic
Scientific paper
Mar 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.1547s&link_type=abstract
Physical Review D (Particles and Fields), Volume 33, Issue 6, 15 March 1986, pp.1547-1556
Mathematics
Logic
Scientific paper
It is shown that there exists a kinematic acceleration which has a behavior that is identical to the motion generated by the cosmological constant Λ occurring in the field equations of general relativity. This kinematic acceleration is found to be generated by particle motion and may therefore supply a physical explanation of the cause of motion generated by the Λ constant. The method developed here is physically based on the use of discrete distributions of matter in space, rather than the continuous distributions used in relativity theory, in order to describe kinematic effects contained in the motion between galaxies. The mathematical method developed here is based on the use of matrix coordinate transformations that have the unusual property of containing translations of origins between coordinate systems. Results show that at least part of the Hubble recessional motion could be attributed to the effects of kinematic forces, and that each galaxy experiencing this motion can be considered to be at rest within its own local inertial system, even though the galaxies accelerate relative to each other. When the motion of light is described relative to these inertial systems, a horizon is shown to be associated with them which limits the ability of an observer to see either the center or edge of a finite Euclidean universe.
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