## Physics of the UniverseThis 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. |

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### Contents

Chapter 1 Physics of the Universe | 1 |

The Mathematical Basis of General Relativity | 18 |

Extension from the Tensor to the Quaternion Language | 27 |

Chapter 4 An Oscillating Spiral Universe Cosmology | 37 |

Chapter 5 Dark Matter | 51 |

Chapter 6 Concluding Remarks | 60 |

Chapter 7 Philosophical Considerations | 64 |

References and Notes | 74 |

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### Common terms and phrases

affine connection algebraic analytic antimatter antiparticle approximation big bang black hole Chapter closed system continuous field concept continuum contraction curvature tensor curved spacetime dark matter density differential dynamics Einstein group Einstein’s Einstein’s tensor Einstein’s theory electromagnetic electron elementary particle empirical energy expansion phase expression flat spacetime formalism frame of reference fundamental galaxies Galileo geodesic equation geometrical gravitational force holistic Hubble law inertial mass inflection point interaction invariant laws of nature logic Mach principle Mach’s mathematical matter field measure metric tensor Newton’s theory nonlinear observed oscillating universe oscillating universe cosmology pair parameters physics prediction principle of relativity proton quantum mechanics quantum theory quaternion quaternion field quaternion form radiation reference frame relativity theory Riemannian rotation Sachs scientific truth solutions space spacetime language special relativity spin-affine connection spiral universe star symmetry group test body theory of relativity underlying unified field theory unobstructed body vacuum wave