Einstein's special relativity: Unleashing the power of its hyperbolic geometry

DOI10.1016/j.camwa.2004.10.030zbMath1071.83505OpenAlexW2080617214MaRDI QIDQ2485396

Abraham A. Ungar

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.030

zbMATH Keywords

Thomas precessionEinstein velocity additionSpecial relativityHyperbolic geometryEinstein gyrovector spaceRelativistic mass

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Special relativity (83A05)

Related Items (6)

The quartet of eigenvectors for quaternionic Lorentz transformation ⋮ Defect and area in Beltrami-Klein model of hyperbolic geometry ⋮ Einstein's velocity addition law and its hyperbolic geometry ⋮ A survey on curvatures of Hessian manifolds ⋮ On algebraic structures related to Beltrami-Klein model of hyperbolic geometry ⋮ On trigonometry in Beltrami-Klein model of hyperbolic geometry

Cites Work

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• Relativity in late Wilhelmian Germany: The appeal to a preestablished harmony between mathematics and physics
• Composition of Lorentz transformations in terms of their generators
• Calculations of the Wigner angle
• The abstract Lorentz transformation group
• The uses of homogeneous barycentric coordinates in plane Euclidean geometry
• Euclidean and Non-Euclidean Geometries Without Continuity
• A Matter of Gravity
• Indra's Pearls
• Physical Geometry
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

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