Space-time as a causal set

Details Space-time as a causal set Space-time as a causal set

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..59..521b&link_type=abstract

Physical Review Letters, Volume 59, Issue 5, August 3, 1987, pp.521-524

Physics

236

Scientific paper

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.

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