Tachyons and superluminal boosts

TL;DR

This paper explores the theoretical possibility of tachyons and superluminal boosts, proposing modifications to electromagnetic theory and Lorentz symmetry to accommodate faster-than-light phenomena and their potential implications.

Contribution

It introduces a modified electromagnetic theory allowing superluminal charges and investigates symmetry extensions of the Lorentz Group related to superluminal transformations.

Findings

Superluminal charges can form self-sustaining orbits in modified electromagnetic theory.

Symmetries suggest possible extensions of the Lorentz Group for superluminal frames.

Discussion on the physical validity of imaginary coordinates in superluminal transformations.

Abstract

Some arguments in favour of the existence of tachyons and extensions of the Lorentz Group are presented. On the former, it is observed that with a slight modification to standard electromagnetic theory a single superluminal charge will bind to itself in a self-sustaining circular orbit, suggestive of a (modified) electromagnetic interpretation of the strong force. Symmetries in that theory are used in the subsequent analysis as a starting point in the search for physically-motivated extensions of the Lorentz Group. There is some discussion of the validity of imaginary coordinates in superluminal transformations of frame. The article concludes with some speculation on the implications for faster-than light travel.