Spacetime entanglement entropy: covariance and discreteness

A Mathur, S Surya, X Nomaan - General Relativity and Gravitation, 2022 - Springer
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 …

Path integral suppression of badly behaved causal sets

P Carlip, S Carlip, S Surya - Classical and Quantum Gravity, 2023 - iopscience.iop.org
Causal set theory is a discrete model of spacetime that retains a notion of causal structure.
We understand how to construct causal sets that approximate a given spacetime, but most …

Causal sets and an emerging continuum

S Carlip - General Relativity and Gravitation, 2024 - Springer
Causal set theory offers a simple and elegant picture of discrete physics. But the vast
majority of causal sets look nothing at all like continuum spacetimes, and must be excluded …

The Einstein-Hilbert action for entropically dominant causal sets

P Carlip, S Carlip, S Surya - Classical and Quantum Gravity, 2023 - iopscience.iop.org
In the path integral formulation of causal set quantum gravity, the quantum partition function
is a phase-weighted sum over locally finite partially ordered sets, which are viewed as …

Computer simulations of causal sets

L Glaser - Handbook of Quantum Gravity, 2023 - Springer
Abstract This review introduces Markov Chain Monte Carlo simulations in causal set theory,
with a focus on the study of the 2d orders. It will first introduce the Benincasa-Dowker action …

The Causal Set Approach to the Problem of Quantum Gravity

F Dowker, S Surya - Handbook of Quantum Gravity, 2024 - Springer
Causal set theory (CST) is an approach to the problem of quantum gravity based on the twin
hypotheses of fundamental spacetime discreteness and primitivity of the spacetime causal …

Timelike boundary and corner terms in the causal set action

F Dowker, R Liu, D Lloyd-Jones - arXiv preprint arXiv:2501.00139, 2024 - arxiv.org
The causal set action of dimension $ d $ is investigated for causal sets that are Poisson
sprinklings into submanifolds of $ d $-dimensional Minkowski space. Evidence, both analytic …

Aspects of quantum fields on causal sets

X Nomaan - 2021 - arxiv.org
We study some kinematical aspects of quantum fields on causal sets. In particular, we are
interested in free scalar fields on a fixed background causal set. We present various results …

Toward the Emergence of Continuum Spacetime in Causal Set Theory

A Mathur - Handbook of Quantum Gravity, 2024 - Springer
In causal set theory (CST), the continuum spacetime manifold is postulated to be a low-
energy approximation of a more fundamental discrete sub-structure of a locally finite partial …