Radial quantization in rotating space-times

Details Radial quantization in rotating space-times Radial quantization in rotating space-times

2006-03-10

arxiv.org/abs/gr-qc/0603037v4

Found.Phys.37:977-988,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published in Foundations of Physics, Volume 37, Number 6, June 2007, pages 977-988

Scientific paper

10.1007/s10701-007-9137-5

We present a solution to the time discontinuity paradox in rotating reference frames by postulating that time is periodic. A kinematic restriction is enforced that requires the discontinuity to be an integral number of the periodicity of time. Quantized radii emerge for which the associated tangential velocities are less than the speed of light. Using the de Broglie relationship, we show that quantum theory may determine the periodicity of time. A rotating Kerr black hole and a rigidly rotating disk of dust are also considered.

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