Superluminal Transformations in Spacetimes of Definite Metric

TL;DR

This paper reviews and extends a superluminal kinematics theory based on a positive definite metric spacetime, providing a consistent framework for superluminal reference frames with real proper times and lengths.

Contribution

It introduces an extended approach to superluminal kinematics using a positive definite metric, differing from traditional Lorentzian frameworks.

Findings

Superluminal transformations with real proper times and lengths

A Lorentz factor of 1/√(β² - 1) for superluminal speeds

Consistent superluminal reference frames in positive definite spacetime

Abstract

This paper reviews and extends an approach to superluminal kinematics set forth by R. Sutherland and J. Shepanski in 1986. This theory is characterized by a spacetime with positive definite metric, a Lorentz factor of the form $1/\sqrt{\beta^2 - 1}$, and real-valued proper times and proper lengths for superluminal reference frames.