Space-time-matter: Modern Kaluza-klein Theory Modern Kaluza-Klein Theory

Collates technical results on 5D relativity with the aim of showing how far Einstein's vision of physics as geometry can be realized. The text is concerned with research that has resulted in a coherent formulation of 5D relativity, a theory in which 4D in induced by geometry in 5D. Jacket......Page 1 Cover......Page 2 Space - Time - Matter......Page 3 CONTENTS......Page 9 PREFACE......Page 7 1.1 Introduction......Page 11 1.2 Fundamental Constants......Page 12 1.3 General Relativity......Page 21 1.4 Particle Physics......Page 28 1.5 Kaluza-Klein Theory......Page 38 1.6 Supergravity and Superstrings......Page 43 1.7 Conclusion......Page 47 2.1 Introduction......Page 52 2.2 A 5D Embedding for 4D Matter......Page 53 2.3 The Cosmological Case......Page 54 2.4 The Soliton Case......Page 59 2.5 The Case of Neutral Matter......Page 68 2.6 Conclusion......Page 76 3.2 The 1-Body Metric......Page 79 3.3 Photon Orbits......Page 82 3.4 Particle Orbits......Page 87 3.5 The Redshift Effect......Page 91 3.6 The Geodetic Effect and GP-B......Page 92 3.7 The Equivalence Principle and STEP......Page 95 3.8 Conclusion......Page 98 4.1 Introduction......Page 101 4.2 The Standard Cosmological Model......Page 102 4.3 Spherically-Symmetric Astrophysical Systems......Page 115 4.4 Waves in a de Sitter Vacuum......Page 118 4.5 Time-Dependent Solitons......Page 121 4.6 Systems with Axial and Cylindrical Symmetry......Page 124 4.7 Shell-Like and Flat Systems......Page 127 4.8 Conclusion......Page 135 5.1 Introduction......Page 139 5.2 Metric and Potentials......Page 140 5.3 Geodesic Motion......Page 142 5.4 Charged Solitons and Black Holes......Page 148 5.5 Charged Black Hole Dynamics......Page 151 5.6 Field Equations and Induced Matter......Page 157 5.7 Conclusion......Page 161 6.2 Gauges in Kaluza-Klein Theory......Page 164 6.3 The Field Equations and the Cosmological Constant......Page 169 6.4 The Equations of Motion and the Fifth Force......Page 171 6.5 Comments on the Fifth Force......Page 177 6.6 A Toy Model......Page 179 6.7 Conclusion......Page 182 7.1 Introduction......Page 186 7.2 The Canonical 1-Body Solution......Page 187 7.3 The Canonical Inflationary Solution......Page 189 7.4 A Spinning Object in a 5D Space......Page 191 7.5 The Nature of Mass and Charge......Page 196 7.6 Particle Physics and Geometry......Page 202 7.7 Conclusion......Page 210 8. RETROSPECT AND PROSPECT......Page 213 INDEX......Page 218 Annotation. Einstein endorsed the view of Kaluza that gravity could be combined with electromagnetism if the dimensionality of the world is extended from 4 to 5. Klein applied this idea to quantum theory, laying a basis for the various modern versions of string theory. Recently, work by a group of researchers has resulted in a coherent formulation of 5D relativity, in which matter in 4D is induced by geometry in 5D. This theory is based on an unrestricted group of 5D coordinate transformations that leads to new solutions and agreement with the classical tests of relativity. This book collects together the main technical results on 5D relativity, and shows how far we can realize Einstein's vision of physics as geometry Physics is a logical activity, which unlike some other intellectual pursuits frowns on radical departures, progressing by the introduction of elegant ideas which give a better basis for what we already know while leading to new results. Paul S. Wesson. Includes Bibliographical References And Index.