Action-Angle Variables in Quantum Gravity

TL;DR

This paper uses action-angle variables and Bohr-Sommerfeld quantization to argue that a smallest non-zero area implies a maximum observable speed slightly less than light speed for massive particles.

Contribution

It introduces a novel theoretical link between quantized areas and maximum particle speeds in quantum gravity frameworks.

Findings

Proposes a maximum observable speed less than light speed for massive particles.

Links quantized area to limits on particle velocity.

Provides a theoretical basis for speed bounds in quantum gravity.

Abstract

We formulate an argument, based on the use of the action-angle variables and the Bohr-Sommerfeld quantization rule, to the effect that if there exists the smallest possible non-zero area, there also exists, for massive particles, the largest possible observable speed, which is a bit less than the speed of light.