Non-time-orthogonal Reference Frames in the Theory of Relativity

TL;DR

This paper investigates the peculiar properties of non-time-orthogonal rotating frames in relativity, resolving apparent inconsistencies and explaining previously unexplained experimental results through new insights into their nature.

Contribution

It introduces a detailed analysis of non-time-orthogonal rotating frames, clarifying their properties and resolving theoretical inconsistencies in relativistic rotation.

Findings

Resolved apparent inconsistencies in relativistic rotation theories

Explained an experimental result previously considered inexplicable

Provided new insights into the nature of non-time-orthogonal frames

Abstract

A simple, though rarely considered, thought experiment on relativistic rotation is described in which internal inconsistencies in the theory of relativity seem to arise. These apparent inconsistencies are resolved by appropriate insight into the nature, and unique properties, of the non-time-orthogonal rotating frame. The analysis also explains a heretofore inexplicable experimental result.