Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity

Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity

By: Abraham Albert Ungar (author)Hardback

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Description

This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. In full analogy, the book presents a novel, relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying hyperbolic geometry.

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Contents

Gyrogroups; Gyrocommutative Gyrogroups; Gyrogroup Extension; Gyrovectors and Cogyrovectors; Gyrovector Spaces; Rudiments of Differential Geometry; Gyrotrigonometry; Bloch Gyrovector of Quantum Information and Computation; Special Theory of Relativity: The Analytic Hyperbolic Geometric Viewpoint; Relativistic Gyrotrigonometry; Stellar and Particle Aberration.

Product Details

  • publication date: 13/02/2008
  • ISBN13: 9789812772299
  • Format: Hardback
  • Number Of Pages: 648
  • ID: 9789812772299
  • weight: 1043
  • ISBN10: 9812772294

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