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Special Relativity, Einstein Velocity Addition, and Gyrogroups: An Introduction

2022/02/05 by Jimmie Lawson, Lawson, Jimmie D.
Arts and Humanities · Mathematics · #83-01 #83A05 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #History and Theory of Mathematics #Linguistics and Language Studies #Mathematics and Applications #Popular Physics (physics.pop-ph)

paper · pdf · doi:10.48550/arxiv.2202.08204

openalex publication_date 2022/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these notes we give an introductory unified treatment to the topics of special relativity, Lorentz transformations and the Lorentz group, Einstein velocitiy addition, and gyrogroups and gyrovector spaces. An effort has been made to present the material in a manner that is accessible to non-specialists and graduate students, and may even serve as the basis for a graduate course or seminar.

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