53 citations · 246 across the 22 of their papers we have counts for
4 papers · 1 filter
Groups of Worldview Transformations Implied by Isotropy of Space
Judit X. Madarász, Mike Stannett, Gergely Székely
Given any Euclidean ordered field, , and any 'reasonable' group, , of (1+3)-dimensional spacetime symmetries, we show how to construct a model of kinematics for which…
Special Relativity over the Field of Rational Numbers
Madarász X. Judit, Gergely Székely
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…
A Geometrical Characterization of the Twin Paradox and its Variants
Gergely Szekely
The aim of this paper is to provide a logic-based conceptual analysis of the twin paradox (TwP) theorem within a first-order logic framework. A geometrical characterization of TwP…
Axiomatizing relativistic dynamics without conservation postulates
H. Andreka, J. X. Madarasz, I. Nemeti +1
A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connec…