Steps towards an axiomatic pregeometry of space-time

Details Steps towards an axiomatic pregeometry of space-time Steps towards an axiomatic pregeometry of space-time

1997-10-11

arxiv.org/abs/gr-qc/9710064v1

Int.J.Theor.Phys. 37 (1998) 2281

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex, 15 pages, submitted to Int. J. of Theor. Phys

Scientific paper

We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties. It is objective because it can be formulated without any reference to cognoscent subjects or sensorial fields. Finally, it is relational because it assumes that space-time is not a thing but a complex of relations among things. In this way, the original program of Leibniz is consummated, in the sense that space is ultimately an order of coexistents, and time is an order of succesives. In this context, we show that the metric and topological properties of Minkowskian space-time are reduced to relational properties of concrete things. We also sketch how our theory can be extended to encompass a Riemmanian space-time.

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