Phys. Rev. Lett. 66, 260–263 (1991)Structure of random discrete spacetimeReceived 27 July 1990; published in the issue dated 21 January 1991 The usual picture of spacetime consists of a continuous manifold, together with a metric of Lorentzian signature which imposes a causal structure. We 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, we show how to construct a metric, how to define the effective dimension, and how such quantities may depend on the scale of measurement. We discuss possible desirable features of the model. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.260
DOI:
10.1103/PhysRevLett.66.260
PACS:
04.20.Cv, 02.90.+p, 04.60.+n
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