Special Relativity over the Field of Rational Numbers

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.

13 pages, 1 figures. arXiv admin note: substantial text overlap with arXiv:1204.1350

References in corpus (3)

• Two Essays on the Archimedean versus Non-Archimedean Debate
• Cosmic Contact : To Be, or Not To Be Archimedean ?
• What are the numbers in which spacetime?

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• What properties of numbers are needed to model accelerated observers in relativity?
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