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Ultimate Symmetry

Fractal Complex-Time and Quantum Gravity

Mohamed Haj Yousef

Book contents

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  1. Book Title
  2. Preface
  3. About this Book
  4. The Structure of the Book
  5. Note on the Opening Epigraphs
  6. Note on References and Bibliography
  7. Acknowledgment
  8. Introduction: Beauty and the Principle of Love
  9. i.1 Symmetry Between Modern Science and Ancient Knowledge
  10. i.2 Symmetry Breaking in Ancient Creation Theories
  11. i.2.1 Sumerian Mythology
  12. i.2.2 Babylonian Mythology
  13. i.2.3 Egyptian Mythology
  14. i.2.4 Greek Mythology
  15. i.3 Outline of Islamic Astronomy and Cosmology
  16. i.3.1 Some Muslim Astronomical Observations
  17. i.3.2 The Sufi Cosmology
  18. i.3.3 Oneness of Being and the Origin of Symmetry
  19. i.4 The Principle of Love and Stationary Action
  20. CHAPTER I: NORMAL SYMMETRY
  21. I.1 Normal Symmetry and Classical Physics
  22. I.1.1 Conservation Laws and Noether Theorem
  23. I.1.2 Symmetry in Electromagnetism
  24. I.2 Fractal Geometry and Chaos Theory
  25. I.2.1 Fractals and Divergent Series
  26. I.2.2 The Speed of Light as the Fractal Dimension
  27. I.2.3 Fractal Dimensions and the Emergence of Time
  28. I.3 Symmetry and Group Theory
  29. I.3.1 Types of Symmetry
  30. I.3.2 Breaking of Symmetry
  31. I.3.3 Group Theory and Symmetry
  32. I.3.4 Chaos Theory
  33. I.3.5 Group Representation
  34. I.4 Outline of the Single Monad Model and Duality of Time Theory
  35. I.4.1 The Three Hypothesis of the Single Monad Model
  36. I.4.2 Creation as a Movie
  37. I.4.3 The Duality of Time Postulate
  38. I.4.4 The Dynamic Formation of Dimensions
  39. I.4.5 The Genuinely-Complex Time-Time Frame
  40. CHAPTER II: SUPER SYMMETRY
  41. II.1 Symmetry and Quantum Mechanics
  42. II.1.1 Gauge Symmetry
  43. II.1.2 Quantum Field Theories
  44. II.1.3 The Fundamental Interactions
  45. II.1.4 Spontaneous Symmetry Breaking
  46. II.1.5 Higgs Mechanism
  47. II.2 Symmetry and Super Symmetry in the Standard Model
  48. II.2.1 Chiral Symmetry
  49. II.2.2 CPT Symmetries
  50. II.2.3 Lepton Symmetry
  51. II.2.4 Baryon Asymmetry
  52. II.2.5 The Planck Scale
  53. II.2.6 Yang-Mills Theory
  54. II.3 Beyond the Standard Model
  55. II.3.1 Super Symmetry and Super Space
  56. II.3.2 Super Symmetry in Strings Theory and Extra Dimensions
  57. II.3.3 Super Symmetry and Quantum Gravity
  58. II.3.4 Super Symmetry and the Four Classical Elements
  59. II.4 Fractal Space-Time and Quantum Phenomena
  60. II.4.1 Super-symmetry and its Breaking
  61. II.4.2 The Two Arrows of Time
  62. II.4.3 The Exclusion Principle
  63. II.4.4 Uncertainty
  64. II.4.5 Collapse of Wave-Function
  65. II.4.6 Schroedinger s Cat
  66. II.4.7 Entanglement and Non-locality
  67. II.4.8 Causality
  68. II.4.9 Consciousness and Information
  69. CHAPTER III: HYPER SYMMETRY
  70. III.1 Hyper Symmetry and Relativity
  71. III.1.1 Symmetry in Special Relativity
  72. III.1.2 Symmetry in General Relativity
  73. III.1.3 The Principle of General Covariance
  74. III.1.4 Space-Time Symmetries and Diffeomorphisms
  75. III.1.5 Deriving the Principles of Special and General Relativity
  76. III.1.6 Lorentz Transformations
  77. III.2 Space-Time Diffeomorphism and Mass-Energy Equivalence
  78. III.2.1 The classical kinetic energy (in the normal time):
  79. III.2.2 Method I (abrupt change of speed in the inner time):
  80. III.2.3 Method II (generating mass in the inner time):
  81. III.2.4 Note I (super-symmetry and pair production):
  82. III.2.5 Note II (relativistic mass):
  83. III.2.6 Note III (the mass-energy duality):
  84. III.2.7 Note IV (the effective mass):
  85. III.2.8 Method III (the total relativistic energy):
  86. III.2.9 Method IV (complex momentum and energy-momentum relation)
  87. III.3 Equivalence Principle and General Relativity
  88. III.3.1 Complex Energy
  89. III.3.2 Aether and the Cosmological Constant Problem
  90. III.3.3 Origin of Mass and Other Charges
  91. III.4 Light and the Spiritual World
  92. III.4.1 Angels and the Heavens
  93. III.4.2 The Universal Spirit and the Origin of Light
  94. III.4.3 The Hexagonal Heart and the Origin of Symmetry
  95. III.4.4 The Three Generations of Spirits
  96. III.4.5 The Three Generations of Fermions
  97. III.4.6 The Cosmos as the Inscribed Book
  98. CHAPTER IV: ULTIMATE SYMMETRY
  99. IV.1 Oneness of Being and Pantheism
  100. IV.1.1 Pantheism and Panentheism
  101. IV.1.2 The Three Categories of Existence
  102. IV.1.3 Unicity of God and the Trinity of the Cosmos
  103. IV.1.4 Mirror Symmetry and the Isthmus
  104. IV.1.5 Divine Theophanies and the Five Planes of Existence
  105. IV.2 Ultimate Symmetry of Constant Entities
  106. IV.2.1 Ultimate Symmetry and Ultimate Asymmetry
  107. IV.2.2 The Mathematical One-to-Many Relation
  108. IV.2.3 The Real-Through-Whom-Things-Are-Created
  109. IV.2.4 The Seven Heavens and the Inner Levels of Time
  110. IV.3 Complex-Time Geometry and the Five Regular Polyhedra
  111. IV.3.1 The Tetrahedron
  112. IV.3.2 The Hexahedron
  113. IV.3.3 The Octahedron
  114. IV.3.4 The Icosahedron
  115. IV.3.5 The Dodecahedron
  116. IV.4 Granular Geometry and Absolute Homogeneous Space
  117. IV.4.1 Hierarchy of Number Sets
  118. IV.4.2 General Relativity Approximation
  119. IV.4.3 The Seven Levels of Time
  120. IV.4.4 The Sexagesimal System
  121. Conclusion
  122. Author Biography

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