Special Relativity over the Field of Rational Numbers

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 syste...

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Veröffentlicht in:	International journal of theoretical physics 2013-05, Vol.52 (5), p.1706-1718
Hauptverfasser:	Madarász, Judit X., Székely, Gergely
Format:	Artikel
Sprache:	eng
Schlagworte:	Elementary Particles Mathematical and Computational Physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0020-7748 1572-9575
DOI:	10.1007/s10773-013-1492-8