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The Duality of Time Theory
Complex-Time Geometry and Perpetual Creation of Space
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- DUALITY OF TIME : Complex-Time Geometry and Perpetual Creation of Space
- Dedication:
- Contents
- Preface: About this Book
- Preface: The Structure of this Book
- How to Read this Book
- The Opening Epigraphs
- Note on References and Bibliography
- The SMONAD.COM Website
- Acknowledgment
- Introduction: The Secret of Time
- Chapter I: From Physics to Metaphysics
- 1.1 The Beginning
- 1.1.1 The Unseen Worlds
- 1.1.2 Enters Ibn al-Arabi
- 1.1.3 A Decade of Withdrawal
- 1.1.4 The Heart versus the Mind
- 1.1.5 The Need for Metaphysics
- 1.1.6 The Cosmic Computer
- 1.1.7 The Heart Observatory
- 1.1.8 Sight, Insight and Beyond
- 1.1.9 Bridging the Gap
- 1.1.10 The Fruits of Patience
- 1.1.11 After the Path of the Heart
- 1.2 The First Serious Study
- 1.2.1 Meeting the Greatest Master
- 1.2.2 The Single Monad Model
- 1.2.3 Single Electron Transport
- 1.2.4 Another Decade of Withdrawal
- 1.2.5 Back to Time
- 1.2.6 Ultimate Simultaneity
- 1.2.7 Paradoxes of Zeno and EPR
- 1.3 Complex-Time Geometry
- 1.3.1 Formation of Dimensions
- 1.3.2 Theory of Everything
- 1.3.3 The Speed of Light
- 1.3.4 Cosmic Inflation
- 1.3.5 Aether and Quintessence
- 1.3.6 Cosmological Constant Problem
- 1.3.7 Quantum Mechanics
- 1.3.7.1 Collapse of Wave Function
- 1.3.7.2 The Cosmic Trinity
- 1.3.7.3 Uncertainty Principle
- 1.3.7.4 Schroedinger’s Cat
- 1.3.7.5 Supernatural Phenomena
- 1.3.8 Super-Symmetry
- 1.3.9 The Principle of Love
- 1.3.10 Publish or Perish
- Chapter II: Ancient Philosophy and Cosmology
- 2.1 Babylonian Cosmology
- 2.2 Greek Cosmology and Philosophy
- 2.3 The Geocentric Model
- 2.4 Parmenides and Oneness
- 2.5 Zeno’s Paradoxes
- 2.5.1 Achilles and the Tortoise
- 2.5.2 Dichotomy
- 2.5.3 The Flying Arrow
- 2.5.4 The Stadium
- 2.5.5 Similar Arguments
- 2.5.6 Philosopher’s Response
- 2.5.7 Potential Infinity
- 2.5.8 Mathematical Solution
- 2.6 From Plato to Plotinus
- 2.7 Islamic Philosophy and Cosmology
- 2.8 Medieval Philosophy
- 2.9 European Renaissance
- 2.10 Heliocentric Model
- 2.11 Galileo Galilei
- 2.12 Complex Numbers
- 2.13 Corpuscular Philosophy
- 2.14 Leibniz and Monadology
- 2.14.1 Monadology
- 2.14.2 The Vis Viva
- 2.15 Principle of Least Action
- 2.16 Newton’s Mechanics
- 2.16.1 Th Concept of Force
- 2.16.2 Law of Universal Gravitation
- 2.16.3 The Three Laws of Motion
- 2.17 Thermal Physics
- 2.17.1 Entropy
- 2.18 Light and Optics
- 2.19 The Speed of Light
- 2.20 Electromagnetism
- 2.21 Atomic Physics
- Chapter III: Modern Physics and Cosmology
- 3.1 Aether Retreat
- 3.1.1 Lorentz Theory
- 3.1.2 Poincaré’s Relativity
- 3.2 Special Relativity
- 3.2.1 Galilean Transformation
- 3.2.2 Lorentzian Transformation
- 3.2.3 Minkowski Space
- 3.2.4 Lorentz Group
- 3.2.5 Poincaré Group
- 3.2.6 Mass-Energy Equivalence
- 3.2.7 The Twin Paradox
- 3.2.8 Experimental Verification
- 3.3 General Relativity
- 3.3.1 Hilbert Action
- 3.3.2 Einstein Field Equations
- 3.3.3 Schwarzschild Solution
- 3.3.4 The FLRW Metric
- 3.3.5 Singularities and Black Holes
- 3.3.6 Relativistic Cosmology
- 3.3.7 Cosmological Constant
- 3.4 Quantum Mechanics
- 3.4.1 Spin Angular Momentum
- 3.4.2 Pauli Exclusion Principle
- 3.4.3 Interpretations of Quantum Mechanics
- 3.4.4 Copenhagen Interpretation
- 3.4.4.1 Wave-Particle Duality
- 3.4.4.2 Uncertainty Principle
- 3.4.4.3 Complementarity Principle
- 3.4.4.4 Wave-Function Collapse
- 3.4.4.5 Observer Effect
- 3.4.4.6 The EPR Paradox
- 3.4.4.7 Quantum Entanglement
- 3.4.4.8 Schroedinger’s Cat
- 3.4.4.9 Double-Slit Experiments
- 3.4.5 Other Interpretations
- 3.4.5.1 Ensemble Interpretation
- 3.4.5.2 Pilot Wave Theory
- 3.4.5.3 Quantum Logic
- 3.4.5.4 Time-Symmetric Theories
- 3.4.5.5 Many-Worlds Interpretation
- 3.4.5.6 Consciousness Causes Collapse
- 3.4.5.7 Stochastic Mechanics
- 3.4.5.8 Many-Minds Interpretation
- 3.4.5.9 Modal Interpretations
- 3.4.5.10 Consistent Histories
- 3.4.5.11 Transactional Interpretation
- 3.4.5.12 Objective Collapse Theories
- 3.4.5.13 Branching Space-Time Theories
- 3.4.5.14 Relational Quantum Mechanics
- 3.4.5.15 Quantum Information Theories
- 3.4.5.16 Duality of Time Interpretation
- 3.4.6 Mathematical Formulation
- 3.5 Quantum Field Theory
- 3.5.1 Classical and Quantum Fields
- 3.5.2 Dirac Wave Equation
- 3.5.3 Quantum Electrodynamics
- 3.5.4 Renormalization
- 3.5.5 Quantum Chromodynamics
- 3.5.6 Fundamental Interactions
- 3.5.7 Unification Theories
- 3.5.8 Feynman Diagrams
- 3.5.9 Path Integrals
- 3.5.10 Symmetry
- 3.5.11 Conformal Field Theory
- 3.5.12 Perturbative and Non-perturbative
- 3.5.13 Fields and Radiation
- 3.5.14 Gauge Freedom
- 3.5.15 Problem of Gravity
- 3.5.16 Super-symmetry
- 3.5.17 Axiomatic Approaches
- 3.5.18 Standard Model of Particles
- 3.6 Physical Cosmology
- 3.6.1 Steady-State Universe
- 3.6.2 Oscillating Universe
- 3.6.3 The Big Bang Model
- 3.6.4 Cosmic Inflation
- 3.6.5 Accelerating Universe
- 3.6.6 Standard Model of Cosmology
- 3.7 Strings Theory
- 3.8 Loop Quantum Gravity
- 3.9 Major Unsolved Problems
- 3.9.1 The Problem of Causality
- 3.9.2 Interpretation of Quantum Mechanics
- 3.9.3 Non-Locality
- 3.9.4 Physical Information
- 3.9.5 Arrow of Time
- 3.9.6 Quantum Gravity
- 3.9.7 Unification Theories
- 3.9.8 Magnetic Monopoles
- 3.9.9 Hierarchy Problem
- 3.9.10 Baryon Asymmetry
- 3.9.11 Super-Symmetry
- 3.9.12 The Planck Scale
- 3.9.13 Yang-Mills Theory
- 3.9.14 Color Confinement
- 3.9.15 Generations of Matter
- 3.9.16 Neutrino Masses
- 3.9.17 Cosmic Inflation
- 3.9.18 Horizon Problem
- 3.9.19 Dark Matter
- 3.9.20 Dark Energy
- 3.9.21 Cosmological Constant Problems
- Chapter IV: Time and the Single Monad Model
- 4.1 The Oneness of Being
- 4.1.1 Sufism versus Philosophy
- 4.1.2 Unicity versus Multiplicity
- 4.1.3 Unicity of God and His Names
- 4.1.4 Trinity of the Cosmos
- 4.2 The Single Monad Model
- 4.2.1 The Re-creation Principle
- 4.2.2 The Single Monad
- 4.2.3 Names of the Single Monad
- 4.2.4 Structure of the Monad
- 4.2.5 The Greatest Element
- 4.2.6 Analogies in the Macrocosms
- 4.2.6.1 Black Stone and the Kaaba
- 4.2.6.2 Spiritual Hierarchy
- 4.2.6.3 World of Letters
- 4.2.6.4 Hierarchy of Divine Names
- 4.2.7 Creation Scenario
- 4.3 Origin and Structure of the Cosmos
- 4.3.1 The Primordial Cloud
- 4.3.2 The Throne and Its Contents
- 4.3.3 The Pedestal and Its Contents
- 4.3.4 The Stars Constellations
- 4.4 Origin and Structure of Time
- 4.4.1 When the World Began?
- 4.4.2 Origin of Time
- 4.4.3 Discrete Nature of Time
- 4.4.4 The Seven Cosmic Days
- 4.4.4.1 Days of Other Orbs
- 4.4.4.2 Day-time and Night-time
- 4.4.5 Eternity and the Age
- 4.4.6 Reality of Motion
- 4.4.7 Significance of the Week
- 4.4.8 Divine Origin of Days
- 4.4.8.1 Sunday
- 4.4.8.2 Monday
- 4.4.8.3 Tuesday
- 4.4.8.4 Wednesday
- 4.4.8.5 Thursday
- 4.4.8.6 Friday
- 4.4.8.7 Saturday
- 4.4.9 Creation in Six Days
- 4.4.10 Real Flow of Time
- 4.4.10.1 Circulated Days
- 4.4.10.2 Taken-out Days
- 4.4.10.3 Intertwined Days
- Chapter V: Complex-Time Hyperbolic Geometry
- 5.1 The Duality of Time Postulate
- 5.2 Dynamic Creation and Aether
- 5.2.1 Genuinely-Complex Time-Time Flow
- 5.2.2 Hyperbolic Complex-Time Geometry
- 5.2.3 The Proper Time
- 5.2.4 The Arrow of Time
- 5.3 Deriving the Three Principles of Relativity
- 5.3.1 Locality and the Speed of Light
- 5.3.2 Deriving Lorentz Factor
- 5.3.3 Deriving the Mass-Energy Relation
- 5.3.3.1 Classical Kinetic Energy (in the Normal Time)
- 5.3.3.2 Method I (Abrupt Change in the Inner Time)
- 5.3.3.3 Method II (Generating Mass in the Inner Time)
- 5.3.3.4 Note on Relativistic Mass
- 5.3.3.5 Wave-Particle Duality
- 5.3.3.6 Effective Mass
- 5.3.3.7 Method III (from the Definition of Momentum)
- 5.3.3.8 Relativistic Mass
- 5.3.4 Relativistic Energy-Momentum Relation
- 5.3.5 Equivalence Principle
- 5.3.6 Negative and Multidimensional Energy
- 5.4 The Five Fundamental Interactions
- Chapter VI: Consciousness and the Three Orthogonal Worlds
- 6.1 Metaphysics and Ontology
- 6.2 Incorporeal Entities
- 6.2.1 Soul and Spirit
- 6.2.2 Mind and Consciousness
- 6.2.3 Body and Aura
- 6.3 The Universal Body
- 6.4 The Universal Spirit
- 6.5 The Universal Soul
- 6.6 The Initial Body
- 6.7 The Cosmic Heart
- 6.8 Trinitarian World
- 6.8.1 The Kaaba
- 6.8.2 Why Matter is Discrete?
- 6.8.3 Breaking out of Time
- 6.8.4 World Formula
- 6.8.5 Constant Entities
- 6.8.6 Creation of Space
- 6.9 Duality of Time Interpretation of Quantum Mechanics
- 6.9.1 Exclusion Principle
- 6.9.2 Uncertainty Principle
- 6.9.3 Mass Gap
- 6.9.4 Wave-Particle Duality
- 6.9.5 Collapse of Wave-Function
- 6.9.6 Effect of Observer
- 6.9.7 Entanglement
- 6.9.8 Quantum Causality
- Chapter VII: Alchemy and Eternal Symmetry
- 7.1 What Is Alchemy?
- 7.1.1 Alchemy in Europe
- 7.1.2 Alchemy in Islam
- 7.1.3 Hermes Trismegistus
- 7.1.4 The Four Elements
- 7.2 The Hidden Symmetry
- 7.2.1 The Divine Quadratic Origin
- 7.2.2 The Twelve Zodiac Zones
- 7.2.3 The Seven Heavens
- 7.2.4 The Four Quantum Fields
- 7.2.5 Numerology
- 7.3 Squaring the Circle
- 7.3.1 The Problem of Infinity
- 7.3.2 The Theoretical Speed of Light
- 7.3.3 The Sexagesimal System
- 7.3.4 Fractals and Divergent Series
- 7.4 The Principle of Love
- Conclusion
- Author Biography
- Bibliography

