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arXiv · 1709.00064

Suppression of non-manifold-like sets in the causal set path integral

S. P. Loomis·S. Carlip
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Abstract

While it is possible to build causal sets that approximate spacetime manifolds, most causal sets are not at all manifold-like. We show that a Lorentzian path integral with the Einstein-Hilbert action has a phase in which one large class of non-manifold-like causal sets is strongly suppressed, and suggest a direction for generalization to other classes. While we cannot yet show our argument holds for all non-manifold-like sets, our results make it plausible that the path integral might lead to emergent manifold-like behavior with no need for further conditions.

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S. P. Loomis, S. Carlip. 2017-08-31. Suppression of non-manifold-like sets in the causal set path integral. https://doi.org/10.1088/1361-6382%2Faa980b

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