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Complex-Time Geometry and Perpetual Creation of Space

by Mohamed Haj Yousef

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About this Book

The Structure of this Book

How to Read this Book

The Opening Epigraphs

Note on References and Bibliography

The SMONAD.COM Website


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

1.3.8  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

3.4.5  Other Interpretations

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

4.2.7  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

4.4.5  Eternity and the Age

4.4.6  Reality of Motion

4.4.7  Significance of the Week

4.4.8  Divine Origin of Days

4.4.9  Creation in Six Days

4.4.10  Real Flow of Time

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

5.3.4  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


Author Biography


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Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
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Message from the Author:

I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!

By revealing the mystery of the connection between discreteness and contintuity, this novel understanding of the complex (time-time) geometry, will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures.

Enjoy reading...

Mohamed Haj Yousef

Check this detailed video presentation on "Deriving the Principles of Special, General and Quantum Relativity Based on the Single Monad Model Cosmos and Duality of Time Theory".

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