Simulating, Visualizing and Playing with de Sitter and anti de Sitter spacetime

TL;DR

This paper introduces computer simulations and visualizations of de Sitter and anti de Sitter spacetimes, including prototype games, to enhance understanding of these complex relativistic geometries.

Contribution

It presents novel interactive visualizations and games that help users intuitively grasp the properties of de Sitter and anti de Sitter spacetimes.

Findings

Simulations reveal geometric and relativistic effects in these spacetimes.

Prototype games demonstrate potential for educational engagement.

Technical challenges in rendering these spacetimes are discussed.

Abstract

In this paper we discuss computer simulations of de Sitter and anti de Sitter spacetimes, which are maximally symmetric, relativistic analogs of non-Euclidean geometries. We present prototype games played in these spacetimes; such games and visualizations can help the players gain intuition about these spacetimes. We discuss the technical challenges in creating such simulations, and discuss the geometric and relativistic effects that can be witnessed by the players.