A note on "Einstein's special relativity beyond the speed of light by James M. Hill and Barry J. Cox"

TL;DR

This paper examines the transformations proposed by Hill and Cox for faster-than-light inertial observers, showing they are only consistent with Einstein's relativity in a two-dimensional spacetime.

Contribution

It demonstrates the dimensional limitations of Hill and Cox's transformations, highlighting their inconsistency in higher-dimensional spacetimes.

Findings

Transformations are consistent only in 2D spacetime

Faster-than-light transformations face fundamental constraints

Relativity principles restrict higher-dimensional FTL transformations

Abstract

We show that the transformations J. M. Hill and B. J. Cox introduce between inertial observers moving faster than light with respect to each other are consistent with Einstein's principle of relativity only if the spacetime is 2 dimensional.