Screen LibrarySpace - time - matter : modern Kaluza-Klein theory /
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 h...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; Hackensack, N.J. : |
| Publication Dates: | 1999. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/3889#t=toc |
| 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. |
| Carrier Form: | 1 online resource (viii,209pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812385475 (electronic bk.) |
| CLC: | O412.1 |
| Contents: | 1. Concepts and theories of physics. 1.1. Introduction. 1.2. Fundamental constants. 1.3. General relativity. 1.4. Particle physics. 1.5. Kaluza-Klein theory. 1.6. Supergravity and superstrings. 1.7. Conclusion -- 2. Induced-matter theory. 2.1. Introduction. 2.2. A 5D embedding for 4D matter. 2.3. The cosmological case. 2.4. The soliton case. 2.5. The case of neutral matter. 2.6. Conclusion -- 3. The classical and other tests in 5D. 3.1. Introduction. 3.2. The 1-body metric. 3.3. Photon orbits. 3.4. Particle orbits. 3.5. The redshift effect. 3.6. The geodetic effect and GP-B. 3.7. The equivalence principle and STEP. 3.8. Conclusion -- 4. Cosmology and astrophysics in 5D. 4.1. Introduction. 4.2. The standard cosmological model. 4.3 Spherically-symmetric astrophysical systems. 4.4. Waves in a de Sitter vacuum. 4.5. Time-dependent solitons. 4.6. Systems with axial and cylindrical symmetry. 4.7. Shell-like and flat systems. 4.8. Conclusion -- 5. 5D electromagnetism. 5.1. Introduction. 5.2. Metric and potentials. 5.3. Geodesic motion. 5.4. Charged solitons and black holes. 5.5. Charged black hole dynamics. 5.6. Field equations and induced matter. 5.7. Conclusion -- 6. The canonical metric and the fifth force. 6.1. Introduction. 6.2. Gauges in Kaluza-Klein theory. 6.3. The field equations and the cosmological constant. 6.4. The equations of motion and the fifth force. 6.5. Comments on the fifth force. 6.6. A toy model. 6.7. Conclusion -- 7. Canonical solutions and physical quantities. 7.1. Introduction. 7.2. The canonical 1-body solution. 7.3. The canonical inflationary solution. 7.4. A spinning object in a 5D space. 7.5. The nature of mass and charge. 7.6. Particle physics and geometry. 7.7. Conclusion -- 8. Retrospect and prospect. |