Evidence for a continuum limit in causal set dynamics

TL;DR

This paper provides evidence that a specific causal set dynamics model, dependent on a single coupling constant, approaches a continuum limit, supported by simulations and interpretations as directed percolation or random graphs.

Contribution

It demonstrates the existence of a continuum limit in a simple, computationally accessible causal set model based on a single parameter.

Findings

Evidence of a continuum limit in the model

Model can be simulated efficiently

Connections to directed percolation and random graphs

Abstract

We find evidence for a continuum limit of a particular causal set dynamics which depends on only a single ``coupling constant'' $p$ and is easy to simulate on a computer. The model in question is a stochastic process that can also be interpreted as 1-dimensional directed percolation, or in terms of random graphs.