Non-cosmological, Non-Doppler Relativistic Frequency Shift over Astronomical Distances

TL;DR

This paper explores a novel, non-Doppler frequency shift effect predicted by special relativity for distant astronomical objects, but finds no observational evidence, suggesting a paradoxical aspect of the theory.

Contribution

It introduces a new relativistic frequency shift effect at astronomical distances and analyzes its implications, revealing a potential paradox in special relativity.

Findings

No observational evidence for the predicted frequency shift

The effect leads to paradoxical implications in relativity

Highlights a potential fundamental inconsistency in current theory

Abstract

We investigate in detail an apparently unnoticed consequence of special relativity. It consists in time dilation/contraction and frequency shift for emitted light affecting accelerated reference frames at astronomical distances from an inertial observer. The frequency shift is non-cosmological and non-Doppler in nature. We derive the main formulae and compare their predictions with the astronomical data available for Proxima Centauri. We found no correspondence with observations. Since the implications of the new time dilation/contraction and frequency shift are blatantly paradoxical, we do not expect to find one. By all indications, we are dealing with a genuine, and not a merely apparent, relativity paradox.