Axiomatic foundations of the kinematics common to classical physics and special relativity. (English) Zbl 0538.70001

Starting from four primitive notions namely event point, particle, relation of being in the past and relation of being an event point occupied by a particle and certain suitable postulates, the authors present a system of purely kinematic axioms complying with both classical mechanics and special relativity. The main theorem proves that either the classical or the relativistic case holds. The work which makes a number of related interesting points is within the framework of modal logic as described in the first author’s book, A general interpreted modal calculus (1972; Zbl 0255.02015).
Reviewer: C.S.Sharma


70A05 Axiomatics, foundations
03B45 Modal logic (including the logic of norms)
83A05 Special relativity
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids


Zbl 0255.02015
Full Text: Numdam EuDML


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