Discrete spacetime: classical causality,prediction, retrodiction and the mathematical arrow of time

Details Discrete spacetime: classical causality,prediction, retrodiction and the mathematical arrow of time Discrete spacetime: classical causality,prediction, retrodiction and the mathematical arrow of time

2000-04-08

arxiv.org/abs/gr-qc/0004026v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 7 eps figures

Scientific paper

A mathematical definition of classical causality over discrete spacetime dynamics is formulated. The approach is background free and permits a definition of causality in a precise way whenever the spacetime dynamics permits. It gives a natural meaning to the concepts of cosmic time, spacelike hypersurfaces and timelike or lightlike flows without assuming the notion of a background metric. The concepts of causal propagators and the speed of causality are discussed. In this approach the concepts of spacetime and dynamics are linked in an essential and inseparable whole, with no meaning to either on its own.

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