Space, time and matter / Dipak K. Sen.

Format:

Book

Author/Creator:

Sen, Dipak K., author.

Language:

English

Subjects (All):

Relativity (Physics).

Space and time.

Physical Description:

1 online resource (153 p.)

Place of Publication:

Singapore : World Scientific, 2014.

Language Note:

English

Summary:

This volume deals with the fundamental concepts of space, time and matter. It presents a novel reformulation of both the special and general theory of relativity, in which time does not constitute the fourth dimension in a conventional 4-dimensional space-time. Instead, the role of time is played by the flow of a vector field on a 3-dimensional space. The standard models of de Sitter, Schwarzschild and Kerr space-times are reformulated in a purely 3-dimensional manifold. The volume also presents a theory of matter in which the fundamental particles, such as baryons and leptons, appear as a res

Contents:

PREFACE; CONTENTS; 1. SPACE AND TIME; 1.0. Introduction; 1.1. The Hyperbolic Structure of the Space of Relative Velocities; 1.2. Relativistic Kinematics on 3-Manifolds; 1.3. Class of Inertial Observers and Generalized Lorentz Matrices; 1.4. Classical Relativistic Field Dynamics; 1.4.1. One-dimensional Heat equation; 1.4.2. One-dimensional Wave equation; 1.4.3. Gauss-Einstein equations; 1.5. Relativistic Field Dynamics on 3-Manifolds; 1.5.1. Three-dimensional field equations and relationship with Einstein equations; 1.6. Flat-Space Solutions; 1.7. The de Sitter Solution

1.8. A New Solution of the Vacuum Einstein Field Equations1.9. A Solution of Mathematical Interest; 1.10. The Schwarzschild Solution; 1.10.1.The Schwarzschild metric; 1.11. From Space-Time 4-Metric to 3-Metric and 3-Vector Field; 1.12. The Kerr Solution; 1.13. The Maxwell Equations; References; 2. MATTER; 2.0. Introduction; 2.1. The Photon and the Weyl Neutrinos; 2.2. A Neutrino Theory of Matter; 2.2.1. Composite νL-νR system without interaction; 2.2.2. Composite νL-νR system with interaction; 2.2.3. A reduced 1-dimensional model; 2.2.4. Conclusion; References

APPENDIX A. VECTOR FIELDS ON MANIFOLDSA.1 Vector Fields on Manifolds; A.2 Example of a Vector Field whose Integral Curves are Knots; References; APPENDIX B. DYNAMICAL VECTOR FIELDS OF CLASSICAL MECHANICS; B.1 Introduction; B.2 Configuration Spaces of Mechanical Systems as Manifolds; B.3 Dynamical Vector Fields in Classical Mechanics; References; APPENDIX C. MAPLE PROGRAM 1; APPENDIX D. MAPLE PROGRAM 2; APPENDIX E. MAPLE PROGRAM 3; AUTHOR INDEX; SUBJECT INDEX

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

Description based on online resource; title from PDF title page (ebrary, viewed April 8, 2014).

ISBN:

981-4522-84-8