Space - Time - Matter

by Wesson, Paul S.

• ISBN13: 9789810235888
• ISBN10: 9810235887
• Format: Hardcover
• Copyright: 1998-08-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

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

Table of Contents

Preface	v
Concepts and Theories of Physics	1	(41)
Introduction	1	(1)
Fundamental Constants	2	(9)
General Relativity	11	(7)
Particle Physics	18	(10)
Kaluza-Klein Theory	28	(5)
Supergravity and Superstrings	33	(4)
Conclusion	37	(5)
Induced-Matter Theory	42	(27)
Introduction	42	(1)
A 5D Embedding for 4D Matter	43	(1)
The Cosmological Case	44	(5)
The Soliton Case	49	(9)
The Case of Neutral Matter	58	(8)
Conclusion	66	(3)
The Classical and Other Tests in 5D	69	(22)
Introduction	69	(1)
The 1-Body Metric	69	(3)
Photon Orbits	72	(5)
Particle Orbits	77	(4)
The Redshift Effect	81	(1)
The Geodetic Effect and GP-B	82	(3)
The Equivalence Principle and STEP	85	(3)
Conclusion	88	(3)
Cosmology and Astrophysics in 5D	91	(38)
Introduction	91	(1)
The Standard Cosmological Model	92	(13)
Spherically-Symmetric Astrophysical Systems	105	(3)
Waves in a de Sitter Vacuum	108	(3)
Time-Dependent Solitons	111	(3)
Systems with Axial and Cylindrical Symmetry	114	(3)
Shell-Like and Flat Systems	117	(8)
Conclusion	125	(4)
5D Electromagnetism	129	(25)
Introduction	129	(1)
Metric and Potentials	130	(2)
Geodesic Motion	132	(6)
Charged Solitons and Black Holes	138	(3)
Charged Black Hole Dynamics	141	(6)
Field Equations and Induced Matter	147	(4)
Conclusion	151	(3)
The Canonical Metric and the Fifth Force	154	(22)
Introduction	154	(1)
Gauges in Kaluza-Klein Theory	154	(5)
The Field Equations and the Cosmological Constant	159	(2)
The Equations of Motion and the Fifth Force	161	(6)
Comments on the Fifth Force	167	(2)
A Toy Model	169	(3)
Conclusion	172	(4)
Canonical Solutions and Physical Quantities	176	(27)
Introduction	176	(1)
The Canonical 1-Body Solution	177	(2)
The Canonical Inflationary Solution	179	(2)
A Spinning Object in a 5D Space	181	(5)
The Nature of Mass and Charge	186	(6)
Particle Physics and Geometry	192	(8)
Conclusion	200	(3)
Retrospect and Prospect	203	(5)
Index	208