International Journal of Theoretical Physics

, Volume 52, Issue 5, pp 1706–1718

Special Relativity over the Field of Rational Numbers

Article

DOI: 10.1007/s10773-013-1492-8

Cite this article as:
Madarász, J.X. & Székely, G. Int J Theor Phys (2013) 52: 1706. doi:10.1007/s10773-013-1492-8

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.

Keywords

Relativity theorySpecial relativityRational numbersAxiomatic theoriesFirst-order logic

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Alfréd Rényi Institute of MathematicsHungarian Academy of SciencesBudapestHungary