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E-grāmata: Space, Time and Matter [World Scientific e-book]

(Univ Of Toronto, Canada)
  • Formāts: 152 pages
  • Izdošanas datums: 28-May-2014
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814522847
Citas grāmatas par šo tēmu:
  • World Scientific e-book
  • Cena: 66,76 €*
  • * this price gives unlimited concurrent access for unlimited time
Space, Time and MatterPalielināt
  • Formāts: 152 pages
  • Izdošanas datums: 28-May-2014
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814522847
Citas grāmatas par šo tēmu:
World Scientific e-booksMore info about World Scientific e-books
Rokasgrāmatas mājas lapa: http://www.worldscientific.com/worldscibooks/10.1142/8897#t=toc
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 result of an interaction between left-handed and right-handed 2-component Weyl neutrinos. The Appendices contain a comprehensive treatment of classical mechanics in terms of Hamiltonian vector fields on symplectic manifolds. Graduate students of mathematical physics or theoretical physics, as well as academics, will find this volume of interest.
Reface v
1 Space And Time
1(60)
1.0 Introduction
1(3)
1.1 The Hyperbolic Structure of the Space of Relative Velocities
4(4)
1.2 Relativistic Kinematics on 3-Manifolds
8(3)
1.3 Class of Inertia! Observers and Generalized Lorentz Matrices
11(2)
1.4 Classical Relativistic Field Dynamics
13(8)
1.4.1 One-dimensional Heat equation
13(4)
1.4.2 One-dimensional Wave equation
17(1)
1.4.3 Gauss-Einstein equations
18(3)
1.5 Relativistic Field Dynamics on 3-Manifolds
21(3)
1.5.1 Three-dimensional field equations and relationship with Einstein equations
21(3)
1.6 Flat-Space Solutions
24(2)
1.7 The de Sitter Solution
26(1)
1.8 A New Solution of the Vacuum Einstein Field Equations
27(7)
1.9 A Solution of Mathematical Interest
34(4)
1.10 The Schwarzschild Solution
38(6)
1.10.1 The Schwarzschild metric
39(5)
1.11 From Space-Time 4-Metric to 3-Metric and 3-Vector Field
44(5)
1.12 The Kerr Solution
49(7)
1.13 The Maxwell Equations
56(5)
References
60(1)
2 Matter
61(18)
2.0 Introduction
61(2)
2.1 The Photon and the Weyl Neutrinos
63(5)
2.2 A Neutrino Theory of Matter
68(11)
2.2.1 Composite VL--VR system without interaction
68(2)
2.2.2 Composite VL--VR system with interaction
70(2)
2.2.3 A reduced 1-dimensional model
72(5)
2.2.4 Conclusion
77(1)
References
78(1)
Appendix A Vector fields on manifolds
79(8)
A.1 Vector Fields on Manifolds
79(4)
A.2 Example of a Vector Field whose Integral Curves are Knots
83(4)
References
86(1)
Appendix B Dynamical Vector Fields Of Classical Mechanics
87(42)
B.1 Introduction
87(2)
B.2 Configuration Spaces of Mechanical Systems as Manifolds
89(10)
B.3 Dynamical Vector Fields in Classical Mechanics
99(30)
References
126(3)
Appendix C Maple Program 1
129(2)
Appendix D Maple Program 2
131(2)
Appendix E Maple Program 3
133(4)
Author Index 137(2)
Subject Index 139
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