Axiomatic Quantum Field Theory in Discrete Spacetime via Multiway Causal Structure: The Case of Entanglement Entropies

J Gorard, J Dannemann-Freitag - arXiv preprint arXiv:2301.12455, 2023 - arxiv.org
The causal set and Wolfram model approaches to discrete quantum gravity both permit the
formulation of a manifestly covariant notion of entanglement entropy for quantum fields. In …

Non-Vacuum Solutions, Gravitational Collapse and Discrete Singularity Theorems in Wolfram Model Systems

J Gorard - 2023 - hal.science
The celebrated geodesic congruence equation of Raychaudhuri, together with the resulting
singularity theorems of Penrose and Hawking that it enabled, yield a highly general set of …

Algorithmic Causal Sets and the Wolfram Model

J Gorard - arXiv preprint arXiv:2011.12174, 2020 - arxiv.org
The formal relationship between two differing approaches to the description of spacetime as
an intrinsically discrete mathematical structure, namely causal set theory and the Wolfram …

Emergence of Minkowski spacetime by simple deterministic graph rewriting

G Leuenberger - Universe, 2022 - mdpi.com
The causal set program and the Wolfram physics project leave open the problem of how a
graph that is a (3+ 1)-dimensional Minkowski spacetime according to its simple geodesic …

Spacetime computing: towards algorithmic causal sets with special-relativistic properties

T Bolognesi - Advances in Unconventional Computing: Volume 1 …, 2017 - Springer
Spacetime computing is undoubtedly one of the most ambitious and less explored forms of
unconventional computing. Totally unconventional is the medium on which the computation …

[PDF][PDF] Space Element Reduction Duplication (SERD) model produces photon-like information packets and light-like cosmological horizons

TL Wood - The journal of Methodology, 2022 - researchgate.net
This document describes a correspondence between photons and propagating information
packets (PIPs) that are emergent out of the Space Element Reduction Duplication (SERD) …

Simple indicators for Lorentzian causets

T Bolognesi, A Lamb - Classical and Quantum Gravity, 2016 - iopscience.iop.org
Several classes of directed acyclic graphs have been investigated in the last two decades, in
the context of the causal set program, in search for good discrete models of spacetime. We …

Do Particles Evolve?

T Bolognesi - Irreducibility and Computational Equivalence: 10 Years …, 2013 - Springer
After some reflection on the messages that I have found most inspiring in Wolfram's NKS
book, ten years after its publication, in this paper I speculate on a few, highly attractive new …

[PDF][PDF] Dynamic Switching Networks.

AM Khalili - Complex Systems, 2019 - wpmedia.wolfram.com
The concept of emergence is a powerful way to explain very complex behavior by simple
underlying rules. Existing approaches to producing emergent collective behavior have many …

[PDF][PDF] Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting. Universe 2022, 8, 149

G Leuenberger - 2022 - researchgate.net
The causal set program and the Wolfram physics project leave open the problem of how a
graph that is a (3+ 1)-dimensional Minkowski spacetime according to its simple geodesic …