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Ultimate Symmetry
Fractal Complex-Time and Quantum Gravity
Book contents
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- Book Title
- Preface
- About this Book
- The Structure of the Book
- Note on the Opening Epigraphs
- Note on References and Bibliography
- Acknowledgment
- Introduction: Beauty and the Principle of Love
- i.1 Symmetry Between Modern Science and Ancient Knowledge
- i.2 Symmetry Breaking in Ancient Creation Theories
- i.2.1 Sumerian Mythology
- i.2.2 Babylonian Mythology
- i.2.3 Egyptian Mythology
- i.2.4 Greek Mythology
- i.3 Outline of Islamic Astronomy and Cosmology
- i.3.1 Some Muslim Astronomical Observations
- i.3.2 The Sufi Cosmology
- i.3.3 Oneness of Being and the Origin of Symmetry
- i.4 The Principle of Love and Stationary Action
- CHAPTER I: NORMAL SYMMETRY
- I.1 Normal Symmetry and Classical Physics
- I.1.1 Conservation Laws and Noether Theorem
- I.1.2 Symmetry in Electromagnetism
- I.2 Fractal Geometry and Chaos Theory
- I.2.1 Fractals and Divergent Series
- I.2.2 The Speed of Light as the Fractal Dimension
- I.2.3 Fractal Dimensions and the Emergence of Time
- I.3 Symmetry and Group Theory
- I.3.1 Types of Symmetry
- I.3.2 Breaking of Symmetry
- I.3.3 Group Theory and Symmetry
- I.3.4 Chaos Theory
- I.3.5 Group Representation
- I.4 Outline of the Single Monad Model and Duality of Time Theory
- I.4.1 The Three Hypothesis of the Single Monad Model
- I.4.2 Creation as a Movie
- I.4.3 The Duality of Time Postulate
- I.4.4 The Dynamic Formation of Dimensions
- I.4.5 The Genuinely-Complex Time-Time Frame
- CHAPTER II: SUPER SYMMETRY
- II.1 Symmetry and Quantum Mechanics
- II.1.1 Gauge Symmetry
- II.1.2 Quantum Field Theories
- II.1.3 The Fundamental Interactions
- II.1.4 Spontaneous Symmetry Breaking
- II.1.5 Higgs Mechanism
- II.2 Symmetry and Super Symmetry in the Standard Model
- II.2.1 Chiral Symmetry
- II.2.2 CPT Symmetries
- II.2.3 Lepton Symmetry
- II.2.4 Baryon Asymmetry
- II.2.5 The Planck Scale
- II.2.6 Yang-Mills Theory
- II.3 Beyond the Standard Model
- II.3.1 Super Symmetry and Super Space
- II.3.2 Super Symmetry in Strings Theory and Extra Dimensions
- II.3.3 Super Symmetry and Quantum Gravity
- II.3.4 Super Symmetry and the Four Classical Elements
- II.4 Fractal Space-Time and Quantum Phenomena
- II.4.1 Super-symmetry and its Breaking
- II.4.2 The Two Arrows of Time
- II.4.3 The Exclusion Principle
- II.4.4 Uncertainty
- II.4.5 Collapse of Wave-Function
- II.4.6 Schroedinger s Cat
- II.4.7 Entanglement and Non-locality
- II.4.8 Causality
- II.4.9 Consciousness and Information
- CHAPTER III: HYPER SYMMETRY
- III.1 Hyper Symmetry and Relativity
- III.1.1 Symmetry in Special Relativity
- III.1.2 Symmetry in General Relativity
- III.1.3 The Principle of General Covariance
- III.1.4 Space-Time Symmetries and Diffeomorphisms
- III.1.5 Deriving the Principles of Special and General Relativity
- III.1.6 Lorentz Transformations
- III.2 Space-Time Diffeomorphism and Mass-Energy Equivalence
- III.2.1 The classical kinetic energy (in the normal time):
- III.2.2 Method I (abrupt change of speed in the inner time):
- III.2.3 Method II (generating mass in the inner time):
- III.2.4 Note I (super-symmetry and pair production):
- III.2.5 Note II (relativistic mass):
- III.2.6 Note III (the mass-energy duality):
- III.2.7 Note IV (the effective mass):
- III.2.8 Method III (the total relativistic energy):
- III.2.9 Method IV (complex momentum and energy-momentum relation)
- III.3 Equivalence Principle and General Relativity
- III.3.1 Complex Energy
- III.3.2 Aether and the Cosmological Constant Problem
- III.3.3 Origin of Mass and Other Charges
- III.4 Light and the Spiritual World
- III.4.1 Angels and the Heavens
- III.4.2 The Universal Spirit and the Origin of Light
- III.4.3 The Hexagonal Heart and the Origin of Symmetry
- III.4.4 The Three Generations of Spirits
- III.4.5 The Three Generations of Fermions
- III.4.6 The Cosmos as the Inscribed Book
- CHAPTER IV: ULTIMATE SYMMETRY
- IV.1 Oneness of Being and Pantheism
- IV.1.1 Pantheism and Panentheism
- IV.1.2 The Three Categories of Existence
- IV.1.3 Unicity of God and the Trinity of the Cosmos
- IV.1.4 Mirror Symmetry and the Isthmus
- IV.1.5 Divine Theophanies and the Five Planes of Existence
- IV.2 Ultimate Symmetry of Constant Entities
- IV.2.1 Ultimate Symmetry and Ultimate Asymmetry
- IV.2.2 The Mathematical One-to-Many Relation
- IV.2.3 The Real-Through-Whom-Things-Are-Created
- IV.2.4 The Seven Heavens and the Inner Levels of Time
- IV.3 Complex-Time Geometry and the Five Regular Polyhedra
- IV.3.1 The Tetrahedron
- IV.3.2 The Hexahedron
- IV.3.3 The Octahedron
- IV.3.4 The Icosahedron
- IV.3.5 The Dodecahedron
- IV.4 Granular Geometry and Absolute Homogeneous Space
- IV.4.1 Hierarchy of Number Sets
- IV.4.2 General Relativity Approximation
- IV.4.3 The Seven Levels of Time
- IV.4.4 The Sexagesimal System
- Conclusion
- Author Biography

