Table of Contents
Preface xi
Acknowledgements xvii
Chapter 1 Physics of the Universe 1
Introduction 1
Is Newton's Theory an Explanation of Gravity? 4
The Expanding Universe 5
The Oscillating Universe Cosmology 6
The Theory of General Relativity 7
The Role of Space and Time 8
Geometry and Matter 11
Generalization of Einstein's Field Equations 13
A Unified Field Theory 16
Chapter 2 A Language of Cosmology: The Mathematical Basis of General Relativity 18
Introduction 18
Einstein's Tensor Formulation 19
The Riemann Curvature Tensor 19
The Geodesic Equation 21
The Vacuum Equation 21
The Schwarzschild Solution 22
The black hole 23
The Crucial Tests of General Relativity 24
The Logic of the Spacetime Language 25
Chapter 3 A Unified Field Theory in General Relativity: Extension from the Tensor to the Quaternion Language 27
Introduction 27
Factorization of Einstein's Tensor Field Equations 28
The Riemann Curvature Tensor in Quaternion Form 29
Spin-affine connection 30
Spin curvature 31
The Quaternion Metrical Field Equations 32
A Symmetric Tensor-Antisymmetric Tensor Representation of General Relativity - Gravity and Electromagnetism 32
The Einstein Field Equations from the Symmetric Tensor Part 33
The Maxwell Field Equations from the Antisymmetric Tensor Part 33
Conclusions 35
Chapter 4 An Oscillating, Spiral Universe Cosmology 37
Introduction 37
The oscillating universe cosmology 39
Equations of motion in general relativity 39
Dynamics of the Expansion and Contraction of the Universe 41
The geodesic equation in quaternion form 41
Dynamics of the Oscillating Universe Cosmology 44
Derivation of the Hubble Law as an Approximation 46
The Spiral Structure of the Universe 46
Concluding Remarks 49
Chapter 5 Dark Matter 51
Introduction 51
The Field Equations and the Ground State Solution for the Bound Particle-Antiparticle Pair 53
Separation of Matter and Antimatter in the Universe 56
Olber's Paradox 57
Chapter 6 Concluding Remarks 60
Black Holes 60
Pulsars 61
On the Human Race and Cosmology 62
Chapter 7 Philosophical Considerations 64
On Truth 64
Positivism versus Realism, Subjectivity versus Objectivity 67
On Mach's Influence in Physics and Cosmology 70
The quantum mechanical limit 70
The Mach principle 71
The Mach principle and a unified field theory 72
References and Notes 74
Postscript 77
Physics in the 21st Century 78
Holism 95
The Universe 99
The Mach Principle and the Origin of Inertia from General Relativity 108
Index 125
