Summary

In this paper the author investigates the idea of faster than light travel in a higher-dimensional hyperspace in general, and the properties of a four dimensional Euclidian space in particular. The addition of a fourth spatial dimension is shown to produce some interesting effects, such as time-compression (rather than time-dilation) and a sign-inversion in Faraday's Law, which has far-reaching consequences in electrodynamics (e.g. runaway currents through constructive self-inductance). Given the richness of 'unsual' alterations in physical behaviour and relationships in four dimensional space, the author concludes with a call for additional research in combining higher-dimensional physics with superluminal phenomena.

Abstract

The idea of 'hyperspace' is suggested as a possible approach to faster-than-light (FTL) motion. A brief summary of a 1986 study on the Euclidean representation of space-time by the author is presented. Some new calculations on the relativistic momentum and energy of a free particle in Euclidean 'hyperspace' are now added and discussed. The superimposed Energy-Momentum curves for subluminal particles, tachyons, and particles in Euclidean 'hyperspace' are presented. It is shown that in Euclidean 'hyperspace', instead of a relativistic time dilation there is a time 'compression' effect. Some fundamental questions are presented.

Paper

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