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A New Perspective on Relativity: An Odyssey in Non-Euclidean Geometries
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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