Space-time as a causal set

Phys. Rev. Lett. 59, 521 – Published 3 August 1987
Luca Bombelli, Joohan Lee, David Meyer, and Rafael D. Sorkin

Abstract

We propose that space-time at the smallest scales is in reality a causal set: a locally finite set of elements endowed with a partial order corresponding to the macroscopic relation that defines past and future. We explore how a Lorentzian manifold can approximate a causal set, noting in particular that the thereby defined effective dimensionality of a given causal set can vary with length scale. Finally, we speculate briefly on the quantum dynamics of causal sets, indicating why an appropriate choice of action can reproduce general relativity in the classical limit.

DOI: http://dx.doi.org/10.1103/PhysRevLett.59.521

  • Received 8 April 1987
  • Published in the issue dated 3 August 1987

© 1987 The American Physical Society

Authors & Affiliations

Luca Bombelli, Joohan Lee, David Meyer, and Rafael D. Sorkin

  • Department of Physics, Syracuse University, Syracuse, New York 13244
  • Department of Mathematics, Syracuse University, Syracuse, New York 13244 LO Institute for Advanced Study, Princeton, New Jersey 08540

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