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Null Geodesics from Ladder Molecules
Anish Bhattacharya, Abhishek Mathur, Sumati Surya
We propose a discrete analogue of null geodesics in causal sets that are approximated by a region of 2d Minkowski spacetime, in the spirit of Kronheimer and Penrose's "grids" and "…
Spacetime Entanglement Entropy: Covariance and Discreteness
Abhishek Mathur, Sumati Surya, Nomaan X
We review some recent results on Sorkin's spacetime formulation of the entanglement entropy (SSEE) for a free quantum scalar field both in the continuum and in manifold-like causal…
Spacetime Entanglement Entropy of de Sitter and Black Hole Horizons
Abhishek Mathur, Sumati Surya, Nomaan X
We calculate Sorkin's manifestly covariant entanglement entropy for a massive and massless minimally coupled free Gaussian scalar field for the de Sitter horizon and…
A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy
Abhishek Mathur, Sumati Surya, Nomaan X
We calculate Sorkin's spacetime entanglement entropy of a Gaussian scalar field for complementary regions in the 2d cylinder spacetime and show that it has the Calabrese-Cardy form…
Entropy and the Link Action in the Causal Set Path-Sum
Abhishek Mathur, Anup Anand Singh, Sumati Surya
In causal set theory the gravitational path integral is replaced by a path-sum over a sample space of -element causal sets. The contribution from non-manifold-like orders…
Entanglement Entropy of Causal Set de Sitter Horizons
Sumati Surya, Nomaan X, Yasaman K. Yazdi
de Sitter cosmological horizons are known to exhibit thermodynamic properties similar to black hole horizons. In this work we study causal set de Sitter horizons, using Sorkin's sp…