Relativistic Ideal Clock

TL;DR

This paper introduces two ideal relativistic clocks with intrinsic circular motion at light speed, which maintain consistent operation regardless of motion and could test the clock hypothesis in extreme gravitational environments.

Contribution

It presents a new class of ideal clocks based on relativistic rotators with fixed mass and spin, characterized by singularities in an inverse Legendre transformation.

Findings

Clocks operate consistently under various motions.

Potential use in testing the clock hypothesis in strong gravity.

Description of clocks with intrinsic circular motion at light speed.

Abstract

Two particularly simple ideal clocks exhibiting intrinsic circular motion with the speed of light and opposite spin alignment are described. The clocks are singled out by singularities of an inverse Legendre transformation for relativistic rotators of which mass and spin are fixed parameters. Such clocks work always the same way, no matter how they move. When subject to high accelerations or falling in strong gravitational fields of black holes, the clocks could be used to test the clock hypothesis.