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Special Relativity over the Field of Rational Numbers

Madarász, Judit and Székely, Gergely (2013) Special Relativity over the Field of Rational Numbers. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 52 (5). pp. 1706-1718. ISSN 0020-7748

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Abstract

We investigate the question: what structures of num- bers (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 spe- cial relativity which can be modeled even over the field of rational numbers.

Item Type: Article
Uncontrolled Keywords: FOUNDATIONS; Special relativity; Rational numbers; First-order logic; Relativity theory; Axiomatic theories; Axiomatic theories;
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 29 Apr 2024 13:30
Last Modified: 29 Apr 2024 13:30
URI: https://real.mtak.hu/id/eprint/193559

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