Space-time as a causal set

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

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.

  • Received 8 April 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.521

©1987 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

Comments & Replies

Comment on ‘‘Space-time as a causal set’’

Cristopher Moore
Phys. Rev. Lett. 60, 655 (1988)

References (Subscription Required)

Click to Expand
Issue

Vol. 59, Iss. 5 — 3 August 1987

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×