DUALITY OF TIME:

Complex-Time Geometry and Perpetual Creation of Space

by Mohamed Haj Yousef

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Contents

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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

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