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