Bernard H. Lavenda, "A New Perspective on Relativity: An Odyssey in Non-Euclidean Geometries"
English | 2012 | ISBN-10: 9814340480 | PDF | 696 pages | 10 MB
Starting off from noneuclidean geometries, apart from the method of Einstein's equations, this book derives and describes the phenomena of gravitation and diffraction. A historical account is presented, exposing the missing link in Einstein's construction of the theory of general relativity: the uniformly rotating disc, together with his failure to realize, that the Beltrami metric of hyperbolic geometry with constant curvature describes exactly the uniform acceleration observed.
This book also explores these questions:
Introduction
Which Geometry?
A Brief History of Light, Electromagnetism and Gravity
Electromagnetic Radiation
The Origins of Mass
Thermodynamics of Relativity
General Relativity in a Non-Euclidean Geometrical Setting
Relativity of Hyperbolic Space
Nonequivalence of Gravitation and Acceleration
Aberration and Radiation Pressure in the Klein and Poincare Models
The Inertia of Polarization
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