Introduction

This repository contains some example functions and scripts that use my Python modules causets.

Animations

The script file lightcone_animations.py was used to create animations that can be found at the following YouTube links.

Simplices in de Sitter, Minkowski, and Schwarzschild spacetimes

de Sitter spacetime, 1-simplex

de Sitter spacetime, 2-simplex

Minkowski spacetime, 1-simplex

Minkowski spacetime, 2-simplex

Minkowski spacetime, 2-simplex with one edge flipped

Minkowski spacetime, 2-simplex with two edges flipped

Minkowski spacetime, 3-simplex

Schwarzschild spacetime, 1-simplex

Subsets of lattices in Minkowski spacetime

Subset of a 2D-lattice

Subset of a 3D-lattice (octahedrons)

Subset of a 4D-lattice (octahedrons)

Smaller subset of a 3D-lattice (octahedrons)

Subset of a 3D-lattice (FCC)

Subset of a 3D-lattice (HCP)

Subset of a 3D-lattice (rhombohedrons)

Two causal sets with identical past and future (for relative Cauchy evolution)

Causal set (subset of a 3D-lattice)

Perturbed causal set

Past subset of both causal sets

Future subet of both causal sets

Other scripts

The files operators_causal.py and pastinf_sizes.py are scripts that produce small data sets for plots and a data table given in my PhD thesis [1] and the publication [2].

[1] C. Minz, Algebraic Field Theory on Causal Sets: Local Structures and Quantization Methods, PhD thesis, University of York (2021).

[2] C. J. Fewster, E. Hawkins, C. Minz, and K. Rejzner, Local structure of sprinkled causal sets, Phys. Rev. D 103, 086020 (2021). https://doi.org/10.1103/PhysRevD.103.086020

License information

The source code is published under the BSD 3-Clause License, see license file.

Copyright (c) 2020-2021, Christoph Minz