Visual relativistic mechanics
General Relativity and Quantum Cosmology
2026-03-26 v2 Classical Physics
Physics Education
Abstract
This article shows how to express relativistic concepts in a visual manner using the full power of hyperbolic trigonometric functions. Minkowski diagrams in energy-momentum space are used in conjunction with hyperbolic triangles. Elegant new derivations of the relativistic rocket equation and the relativistic Doppler effect are presented that use this visual approach.
Cite
@article{arxiv.2408.07036,
title = {Visual relativistic mechanics},
author = {Karol Urbański},
journal= {arXiv preprint arXiv:2408.07036},
year = {2026}
}
Comments
12 pages, 11 figures