, Volume 52, Issue 5, pp 1706-1718

Special Relativity over the Field of Rational Numbers

Purchase on Springer.com

$39.95 / €34.95 / £29.95*

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We investigate the question: what structures of numbers (as physical quantities) are suitable to be used in special relativity? The answer to this question depends strongly on the auxiliary assumptions we add to the basic assumptions of special relativity. We show that there is a natural axiom system of special relativity which can be modeled even over the field of rational numbers.

This research is supported by the Hungarian Scientific Research Fund for basic research grants No. T81188 and No. PD84093, as well as by a Bolyai grant for J.X. Madarász.