Authors: Moninder Singh Modgil
The General Relativistic G\"{o}del-Brahe model visualizes the universe rotating with angular velocity $2 \pi$ radians/day - around a stationary earth. The wave function of this model of universe $\psi_{Univ}$, has two chiral states - clockwise and anti clockwise. Due to instabilities in the electromagnetic fields, the wave function can tunnel between the two states. G\"{o}del-Rindler model with a heigth varying acceleration gives the gravitational field of the earth. G\"{o}del-Obukhov model with a sinusoidally varying scale factor gives the yearly north-south motion of the sun. G\"{o}del-Randall-Sundram model with an angular velocity varying with height, gives the yearly rotation of sun with respect to the back ground of the fixed stars. Confinement of light rays due to rotation in the G\"{o}del universe, coupled with an appropriate mapping, generates the illusion of sphericity over a flat earth - with half of earth lit by sun light and the other half in darkness. Finally a metric combining all these properties is given. Discussion of further work is given, namely - (1) Origin of earth's magnetic field due to a charged G\"{o}del universe - with a relation to the Van Allen radiation belt, (2) Geomagnetic reversals due to reversals of cosmological rotation, (3) Caismir energy in the charged G\"{o}del type universe and the energy density required for the G\"{o}del-Brahe model and (4) Behaviour of Causality in G\"{o}del universe and the Einstein-Podolsky-Rosen (EPR) paradox.
Comments: 10 Pages.
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[v1] 2018-09-10 10:59:43
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