- #1
twistor
- 74
- 8
Could this be of any importance for research nowadays?
http://arxiv.org/pdf/gr-qc/9710064v1.pdf
Steps towards an axiomatic pregeometry of space-time
Santiago E. Perez Bergliaffa, Gustavo E. Romero, Hector Vucetich
(Submitted on 11 Oct 1997)
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.
http://arxiv.org/pdf/gr-qc/9710064v1.pdf
Steps towards an axiomatic pregeometry of space-time
Santiago E. Perez Bergliaffa, Gustavo E. Romero, Hector Vucetich
(Submitted on 11 Oct 1997)
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.