Physics – General Physics
Scientific paper
2007-07-31
Physics
General Physics
17 pages, 2 figures, v7: Metadata revised
Scientific paper
A general form of space-time invariant called periodic invariant is proposed in which the special relativity invariant appear as a special case. This leads to invariant force-energy relation which when used in conjunction with suitably modified Newtonian orbital energy equation yields equations for gravitational redshift and bending of light without utilizing Riemannian geometry and geodesic trajectories. These derivations allow constant velocity of light and are later shown to satisfy Einstein's field equations and provide alternative to Schwarzschild solution. Perihelic precession theory of general relativity is retained unaltered but the equation of planet motion and the solution of the radial vector are improved to yield exact two body solution that satisfies Einstein's field equations. The periodic invariant is based on the concept that the time is a periodic phenomenon. This theory dubbed periodic relativity (PR) does not contradict the lowest order predictions of geneal relativity but differs in second order terms. The limiting radius of the event horizon in PR is half the value of the Schwarzschild radius. The theory leads to the derivation of quantum invariant which can vanish in an absolute sense resulting in a singularity implying a universe beginning with a vibration in an unmanifested state of primal energy eventually followed by inflation of the Lambda-CDM model. In PR every two body system can deviate differently from the flat Minkowski metric. Verification of PR requires inclusion of proper time interval of planet as an observable orbital parameter to ephemerides. The theory provides very accurate solutions for the Pioneer anomaly and the rotation curves of galaxies outside the framework of general relativity.
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