Periodic relativity: the theory of gravity in flat space time

TL;DR

Periodic relativity proposes a flat spacetime gravity theory that aligns with Einstein's equations, links proper time with Doppler shifts, and unites gravity with quantum mechanics, explaining galaxy rotation, black hole horizons, and gravitational waves.

Contribution

It introduces a flat metric-based gravity theory satisfying Einstein's equations, connecting periodic time with quantum gravity, and providing novel explanations for astrophysical phenomena.

Findings

Accurately models galaxy rotation curves.

Predicts black hole event horizon radius as 1 R_g.

Derives gravitational wave strain amplitude using quantum formalism.

Abstract

Periodic relativity (PR), uses a flat metric without weak field approximation. PR satisfies Einstein's field equations. PR proposes a definite connection between the proper time interval of an object and Doppler frequency shift of its constituent particles. This is because fundamentally time is periodic in nature. Periodic time of PR is the key parameter in development of quantum gravity theory in which the universe begins with a quantum fluctuation in the fundamental substance of the universe which is infinite, motionless and indivisible. PR is based on the dynamic weak equivalence principle which equates the gravitational mass with the relativistic mass. PR provides accurate solutions for the rotation curves of galaxies and the energy levels of the Hydrogen spectra including Lamb shift using common formalism. Flat space time with Lorentz invariant acceleration presented here makes it possible to unite PR with quantum mechanics. PR predicts limiting radius of the event horizon of a black hole to be 1R_g and the shadow of a black hole to be due to frequency shift of visible light into ultraviolet and higher range. PR equations can probe inside the event horizon. Mathematical proof of periodic nature of time is presented by way of introducing gravity into the electromagnetic wave formalism. Theory shows that the electromagnetic wave is held together by gravitational forces. Theory explains the mechanism of gravitational redshift predicted by general relativity and predicts powerful gravitational radiation at Planck epoch. Gravitational-wave strain amplitude is derived using quantum mechanical formalism. Bound on graviton mass is mg < 1.51 x 10^{-41}eV/c^2. Mechanism that explains Gamma-ray burst associated with GW150914 is presented. GRB can shrink the event horizon. Gravity assisted EM wave stacking creates $\gamma$-rays in M87 BH.