Relativistically Rotating Frames and Non-time-orthogonality

TL;DR

This paper introduces a novel analysis of relativistically rotating frames that addresses inconsistencies in traditional theories by considering non-time-orthogonality, leading to new predictions consistent with experiments and resolving longstanding paradoxes.

Contribution

It presents the first analysis explicitly incorporating non-time-orthogonality in rotating frames, resolving inconsistencies and predicting new relativistic effects.

Findings

Local speed of light on the disk is not invariant, matching Sagnac experiment results.

No Lorentz contraction occurs along the rotating disk's rim.

Time dilation and mass-energy dependence on speed are accurately predicted.

Abstract

This paper is a brief overview of a more extensive article recently published in Found. Phys. Lett. [2]. Apparent disagreement with experiment as well as internal inconsistencies found in the traditional analysis of relativistically rotating frames/disks are summarized. As one example, a point p at 0 degrees on the circumference of a rotating disk does not, according to the standard theory, exist at the same moment in time as the same point p at 360 degrees. This and other problems with the standard theory are completely resolved by a novel analysis that directly addresses, apparently for the first time, the non-time-orthogonal nature of rotating frames. Though ultimately consonant with the special and general theories of relativity, due to non-time-orthogonality, the analysis predicts several peculiar (i.e., not traditionally relativistic) results. For example, the local circumferential speed of light is not invariant (thereby agreeing with the Sagnac experiment), and no Lorentz contraction exists along the disk rim. Other experimental results, including time dilation, mass-energy dependence on speed, and what has heretofore been considered a "spurious" signal in the most accurate Michelson-Morley experiment performed to date, are accurately predicted. Further, the widely accepted postulate for the equivalence of co-moving inertial and non-inertial rods, used liberally with prior rotating frame analyses, is shown to be invalid for non-time-orthogonal frames. This understanding of the ramifications of non-time-orthogonality resolves paradoxes inherent in the traditional theory.