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arXiv · 2009.07623

Entropy and the Link Action in the Causal Set Path-Sum

Abhishek Mathur·Anup Anand Singh·Sumati Surya
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Abstract

In causal set theory the gravitational path integral is replaced by a path-sum over a sample space $\Omega_n$ of $n$-element causal sets. The contribution from non-manifold-like orders dominates $\Omega_n$ for large $n$ and therefore must be tamed by a suitable action in the low energy limit of the theory. We extend the work of Loomis and Carlip on the contribution of sub-dominant bilayer orders to the causal set path-sum and show that the "link action" suppresses the dominant Kleitman-Rothschild orders for the same range of parameters.

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Abhishek Mathur, Anup Anand Singh, Sumati Surya. 2020-09-16. Entropy and the Link Action in the Causal Set Path-Sum. https://doi.org/10.1088/1361-6382%2Fabd300

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