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9781848166042

Physics of the Universe

by
  • ISBN13:

    9781848166042

  • ISBN10:

    1848166044

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2010-03-17
  • Publisher: Imperial College Pr

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Summary

This book presents a new approach to the subject of cosmology. It fully exploits Einstein’s theory of general relativity. It is found that the most general formal expression of the theory replaces the (10-component) tensor formalism with a (16-component) quaternion formalism. This leads to a unified field theory, where one field incorporates gravitation and electromagnetism. The theory predicts an oscillating universe cosmology with a spiral configuration. Dark matter is explained in terms of a sea of particle–antiparticle pairs, each in a particular (derived) ground state. This leads to an explanation for the separation between matter and antimatter in the universe. There is a brief discussion of black holes and pulsars. The final chapter delves into philosophical considerations such as the different types of ‘truth’, positivism versus realism and a discussion of the role of the Mach principle in physics and cosmology.

Table of Contents

Prefacep. xi
Acknowledgementsp. xvii
Physics of the Universep. 1
Introductionp. 1
Is Newton's Theory an Explanation of Gravity?p. 4
The Expanding Universep. 5
The Oscillating Universe Cosmologyp. 6
The Theory of General Relativityp. 7
The Role of Space and Timep. 8
Geometry and Matterp. 11
Generalization of Einstein's Field Equationsp. 13
A Unified Field Theoryp. 16
A Language of Cosmology: The Mathematical Basis of General Relativityp. 18
Introductionp. 18
Einstein's Tensor Formulationp. 19
The Riemann Curvature Tensorp. 19
The Geodesic Equationp. 21
The Vacuum Equationp. 21
The Schwarzschild Solutionp. 22
The black holep. 23
The Crucial Tests of General Relativityp. 24
The Logic of the Spacetime Languagep. 25
A Unified Field Theory in General Relativity: Extension from the Tensor to the Quaternion Languagep. 27
Introductionp. 27
Factorization of Einstein's Tensor Field Equationsp. 28
The Riemann Curvature Tensor in Quaternion Formp. 29
Spin-affine connectionp. 30
Spin curvaturep. 31
The Quaternion Metrical Field Equationsp. 32
A Symmetric Tensor-Antisymmetric Tensor Representation of General Relativity - Gravity and Electromagnetismp. 32
The Einstein Field Equations from the Symmetric Tensor Partp. 33
The Maxwell Field Equations from the Antisymmetric Tensor Partp. 33
Conclusionsp. 35
An Oscillating, Spiral Universe Cosmologyp. 37
Introductionp. 37
The oscillating universe cosmologyp. 39
Equations of motion in general relativityp. 39
Dynamics of the Expansion and Contraction of the Universep. 41
The geodesic equation in quaternion formp. 41
Dynamics of the Oscillating Universe Cosmologyp. 44
Derivation of the Hubble Law as an Approximationp. 46
The Spiral Structure of the Universep. 46
Concluding Remarksp. 49
Dark Matterp. 51
Introductionp. 51
The Field Equations and the Ground State Solution for the Bound Particle-Antiparticle Pairp. 53
Separation of Matter and Antimatter in the Universep. 56
Olber's Paradoxp. 57
Concluding Remarksp. 60
Black Holesp. 60
Pulsarsp. 61
On the Human Race and Cosmologyp. 62
Philosophical Considerationsp. 64
On Truthp. 64
Positivism versus Realism, Subjectivity versus Objectivityp. 67
On Mach's Influence in Physics and Cosmologyp. 70
The quantum mechanical limitp. 70
The Mach principlep. 71
The Mach principle and a unified field theoryp. 72
References and Notesp. 74
Postscriptp. 77
Physics in the 21st Centuryp. 78
Holismp. 95
The Universep. 99
The Mach Principle and the Origin of Inertia from General Relativityp. 108
Indexp. 125
Table of Contents provided by Ingram. All Rights Reserved.

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