Gravity and Faster than Light Particles

TL;DR

This paper examines the theoretical possibility of superluminal particles within general relativity, concluding that such particles are unlikely in stable Lorentzian metrics but could exist temporarily in Euclidean regions of spacetime.

Contribution

It analyzes the conditions under which superluminal particles might exist in general relativity, highlighting the role of Euclidean metrics in enabling superluminal phenomena.

Findings

Superluminal particles are unlikely in stable Lorentzian metrics.

Euclidean metrics can temporarily allow superluminal speeds.

Superluminality may occur in limited spacetime regions under specific gravitational conditions.

Abstract

In this paper I discuss whether superluminal particles exist in the general relativistic theory of gravity. It seems that the answer to this question is negative. In truth the result may only represent a difficulty to {\bf special} but not general relativity, the later allowing both Lorentzian and Euclidian metrics. An Euclidian metric does not restrict speed. Although only the Lorentzian metric is stable \cite{Yahaloma}, an Euclidian metric can be created under special gravitational circumstances and persist in a limited region of space-time causing possible superluminality.