Visualizing Flat Spacetime: Viewing Optical versus Special Relativistic Effects

TL;DR

This paper presents a straightforward geometric visualization method for Minkowski spacetime, illustrating optical and relativistic effects, suitable for students with basic geometry and algebra knowledge, emphasizing aberration effects in special relativity.

Contribution

It introduces a simple Euclidean 4-space model for visualizing Minkowski spacetime and discusses relativistic aberration effects visually, enhancing educational understanding.

Findings

Accurate visualization of special relativity effects using Euclidean 4-space

Comparison of relativistic and classical aberration effects

Educational tool for understanding Minkowski spacetime geometry

Abstract

A simple visual representation of Minkowski spacetime appropriate for a student with a background in geometry and algebra is presented. Minkowski spacetime can be modeled with a Euclidean 4-space to yield accurate visualizations as predicted by special relativity theory. The contributions of relativistic aberration as compared to classical pre-relativistic aberration to the geometry are discussed in the context of its visual representation.