Structure of random discrete spacetime.
Abstract
The usual picture of spacetime consists of a continuous manifold, together with a metric of Lorentzian signature which imposes a causal structure. The authors consider a model in which spacetime consists of a discrete set of points taken at random from a manifold, with only the causal structure remaining. Using only this structure, the authors show how to construct a metric, how to define the effective dimension, and how such quantities may depend on the scale of measurement.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 1991
- DOI:
- 10.1103/PhysRevLett.66.260
- Bibcode:
- 1991PhRvL..66..260B
- Keywords:
-
- Discrete Functions;
- Manifolds (Mathematics);
- Metric Space;
- Probability Distribution Functions;
- Space-Time Functions;
- Amount;
- Signatures;
- Physics (General);
- 04.20.Cv;
- 02.90.+p;
- 04.60.+n;
- Fundamental problems and general formalism;
- Other topics in mathematical methods in physics