Emergence of Minkowski-Spacetime by Simple Deterministic Graph Rewriting
General Relativity and Quantum Cosmology
2022-07-07 v1 Quantum Physics
Abstract
The causal set program as well as 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 distances, could be generated solely from simple deterministic rules. This paper provides a solution by describing simple rules that characterize discrete Lorentz boosts between 4D lattice graphs, which combine further to form Wigner rotations that produce isotropy and lead to the emergence of the continuous Lorentz group and the (3+1)-dimensional Minkowski-spacetime. On such graphs, the speed of light, the proper time interval, as well as the proper length are all shown to be highly accurate.
Cite
@article{arxiv.2110.03388,
title = {Emergence of Minkowski-Spacetime by Simple Deterministic Graph Rewriting},
author = {Gabriel Leuenberger},
journal= {arXiv preprint arXiv:2110.03388},
year = {2022}
}