Radial quantization in rotating space-times

TL;DR

This paper proposes that time is periodic in rotating space-times to resolve the time discontinuity paradox, leading to quantized radii and velocities, and explores quantum implications and specific rotating systems.

Contribution

It introduces a model where time periodicity resolves paradoxes in rotating frames and links quantum theory to this periodicity.

Findings

Quantized radii with subluminal tangential velocities emerge in rotating space-times.

Quantum theory may determine the periodicity of time via the de Broglie relationship.

Applications to Kerr black holes and rotating dust disks are discussed.

Abstract

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.