Particle simulations in causal set theory

TL;DR

This paper investigates particle propagation models in causal set theory using simulations, demonstrating that the swerves model aligns well with continuum diffusion expectations despite size limitations.

Contribution

It provides the first detailed simulation analysis of particle propagation in causal set theory, confirming the swerves model's continuum diffusion behavior.

Findings

Simulations confirm the swerves model's diffusion behavior.

Agreement with continuum expectations is better than anticipated.

Size limitations do not significantly affect the results.

Abstract

Models of particle propagation in causal set theory are investigated through simulations. For the swerves model the simulations are shown to agree with the expected continuum diffusion behaviour. Given the limitations on the simulated causal set size, the agreement is far better than anticipated.