The Forces outside the static limit in the rotating frame

TL;DR

This paper explores inertial forces in a rotating frame of Minkowski spacetime, especially outside the static limit, deriving new expressions and conditions for zero acceleration when angular velocity equals angular momentum.

Contribution

It introduces a novel analysis of inertial forces outside the static limit in rotating frames, including conditions for zero acceleration when angular velocity matches angular momentum.

Findings

Derived expressions for inertial forces outside the static limit.

Identified conditions where acceleration becomes zero.

Extended classical analogues to relativistic rotating frames.

Abstract

In this paper we consider the rotating frame of the Minkowski spacetime in order to describe the inertial forces outside the static limit. We consider the inertial forces inside the static limit to find the classical analogue afterwards we find out the expressions for these forces outside the static limit where we can't consider the limit $\frac{v}{c}\to 0$. We show that in general case if the angular velocity of the object $\Omega$ is equal to the angular momentum $\omega$ then the acceleration is equal to zero.