Relativistic mechanics on rotating disk

TL;DR

This paper derives equations of particle motion on a rotating disk, showing that geometric effects produce forces similar to centrifugal and Coriolis forces, highlighting the influence of geometry on relativistic mechanics.

Contribution

It introduces a geometric approach to relativistic mechanics on a rotating disk, deriving equations of motion and identifying forces analogous to classical inertial forces.

Findings

Particle motion equations incorporate geometric effects.

Forces analogous to centrifugal and Coriolis forces are derived.

Geometry influences particle dynamics in relativistic rotating systems.

Abstract

We find equations of particle motion from the point of view of observer on a rotating disk, and demonstrate that a particle moving along a rotating disk is influenced by forces arising from geometry. They can be considered as analogs of the centrifugal forces and the Coriolis forces.