Gyrations: The Missing Link Between Classical Mechanics with Its Underlying Euclidean Geometry and Relativistic Mechanics with Its Underlying Hyperbolic Geometry

DOI10.1007/978-3-642-28821-0_18zbMath1319.83005arXiv1302.5678OpenAlexW1777046238MaRDI QIDQ5261072

Abraham A. Ungar

Publication date: 1 July 2015

Published in: Essays in Mathematics and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5678

zbMATH Keywords

hyperbolic geometryThomas precessionEuclidean geometryrelativistic mechanicsgyrations

Mathematics Subject Classification ID

Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) General geometric structures on low-dimensional manifolds (57M50) Clifford algebras, spinors (15A66) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (3)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Novel Tools to Determine Hyperbolic Triangle Centers ⋮ Einstein gyrogroup as a B-loop

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