A new perspective on relativity: An odyssey in non-Euclidean geometries

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Author(s): Lavenda, Bernard H
Publisher: World Scientific
Year: 2012

Language: English
City: Singapore
Tags: Relativity (Physics)

Content: Machine generated contents note: 1.Introduction --
1.1.Einstein's Impact on Twentieth Century Physics --
1.1.1.The author(s) of relativity --
1.1.2.Models of the electron --
1.1.3.Appropriation of Lorentz's theory of the electron by relativity --
1.2.Physicists versus Mathematicians --
1.2.1.Gauss's lost discoveries --
1.2.2.Poincare's missed opportunities --
1.3.Exclusion of Non-Euclidean Geometries from Relativity --
References --
2.Which Geometry? --
2.1.Physics or Geometry --
2.1.1.The heated plane --
2.2.Geometry of Complex Numbers --
2.2.1.Properties of complex numbers --
2.2.2.Inversion --
2.2.3.Maxwell's 'fish-eye': An example of inversion from elliptic geometry --
2.2.4.The cross-ratio --
2.2.5.The Mobius transform --
2.3.Geodesics --
2.4.Models of the Hyperbolic Plane and Their Properties --
2.5.A Brief History of Hyperbolic Geometry --
References --
3.A Brief History of Light, Electromagnetism and Gravity --
3.1.The Drag Coefficient: A Clash Between Absolute and Relative Velocities --
3.2.Michelson-Morley Null Result: Is Contraction Real? --
3.3.Radar Signaling versus Continuous Frequencies --
3.4.Ives-Stilwell Non-Null Result: Variation of Clock Rate with Motion --
3.5.The Legacy of Nineteenth Century English Physics --
3.5.1.Pressure of radiation --
3.5.2.Poynting's derivation of E = mc2 --
3.5.3.Larmor's attempt at the velocity composition law via Fresnel's drag --
3.6.Gone with the Aether --
3.6.1.Elastic solid versus Maxwell's equations --
3.6.2.The index of refraction --
3.7.Motion Causes Bodily Distortion --
3.7.1.Optical effect: Double diffraction experiments --
3.7.2.Trouton-Noble null mechanical effect --
3.7.3.Anisotropy of mass --
3.7.4.E/M Measurements Of The Transverse Mass --
3.8.Modeling Gravitation --
3.8.1.Maxwellian gravitation --
3.8.2.Ritzian gravitation --
References --
4.Electromagnetic Radiation --
4.1.Spooky Actions-at-a-Distance versus Wiggly Continuous Fields --
4.1.1.Irreversibility from a reversible theory --
4.1.