Alternative proofs for Kocik's Geometric Diagram for Relativistic Velocity Addition
Amol Sasane, Victor Ufnarovski
TL;DR
This paper presents three alternative geometric proofs for Kocik's relativistic velocity addition formula, expanding the mathematical approaches beyond the original Cartesian proof.
Contribution
It introduces trigonometric, Euclidean, and projective geometry methods as new proofs for Kocik's geometric diagram.
Findings
Three alternative geometric proofs are provided.
The proofs offer different mathematical perspectives.
The methods enhance understanding of relativistic velocity addition.
Abstract
A geometric construction for the Poincare formula for relativistic addition of velocities in one dimension was given by Jerzy Kocik in "Geometric Diagram for Relativistic Addition of Velocities", American Journal of Physics, volume 80, page 737, 2012. While the proof given there used Cartesian coordinate geometry, three alternative approaches are given in this article: a trigonometric one, one via Euclidean geometry, and one using projective geometry.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.