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The Duality of Time Theory

Complex-Time Geometry and Perpetual Creation of Space

Mohamed Haj Yousef

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  1. DUALITY OF TIME : Complex-Time Geometry and Perpetual Creation of Space
  2. Dedication:
  3. Contents
  4. Preface: About this Book
  5. Preface: The Structure of this Book
  6. How to Read this Book
  7. The Opening Epigraphs
  8. Note on References and Bibliography
  9. The SMONAD.COM Website
  10. Acknowledgment
  11. Introduction: The Secret of Time
  12. Chapter I: From Physics to Metaphysics
  13. 1.1 The Beginning
  14. 1.1.1 The Unseen Worlds
  15. 1.1.2 Enters Ibn al-Arabi
  16. 1.1.3 A Decade of Withdrawal
  17. 1.1.4 The Heart versus the Mind
  18. 1.1.5 The Need for Metaphysics
  19. 1.1.6 The Cosmic Computer
  20. 1.1.7 The Heart Observatory
  21. 1.1.8 Sight, Insight and Beyond
  22. 1.1.9 Bridging the Gap
  23. 1.1.10 The Fruits of Patience
  24. 1.1.11 After the Path of the Heart
  25. 1.2 The First Serious Study
  26. 1.2.1 Meeting the Greatest Master
  27. 1.2.2 The Single Monad Model
  28. 1.2.3 Single Electron Transport
  29. 1.2.4 Another Decade of Withdrawal
  30. 1.2.5 Back to Time
  31. 1.2.6 Ultimate Simultaneity
  32. 1.2.7 Paradoxes of Zeno and EPR
  33. 1.3 Complex-Time Geometry
  34. 1.3.1 Formation of Dimensions
  35. 1.3.2 Theory of Everything
  36. 1.3.3 The Speed of Light
  37. 1.3.4 Cosmic Inflation
  38. 1.3.5 Aether and Quintessence
  39. 1.3.6 Cosmological Constant Problem
  40. 1.3.7 Quantum Mechanics
  41. 1.3.7.1 Collapse of Wave Function
  42. 1.3.7.2 The Cosmic Trinity
  43. 1.3.7.3 Uncertainty Principle
  44. 1.3.7.4 Schroedinger’s Cat
  45. 1.3.7.5 Supernatural Phenomena
  46. 1.3.8 Super-Symmetry
  47. 1.3.9 The Principle of Love
  48. 1.3.10 Publish or Perish
  49. Chapter II: Ancient Philosophy and Cosmology
  50. 2.1 Babylonian Cosmology
  51. 2.2 Greek Cosmology and Philosophy
  52. 2.3 The Geocentric Model
  53. 2.4 Parmenides and Oneness
  54. 2.5 Zeno’s Paradoxes
  55. 2.5.1 Achilles and the Tortoise
  56. 2.5.2 Dichotomy
  57. 2.5.3 The Flying Arrow
  58. 2.5.4 The Stadium
  59. 2.5.5 Similar Arguments
  60. 2.5.6 Philosopher’s Response
  61. 2.5.7 Potential Infinity
  62. 2.5.8 Mathematical Solution
  63. 2.6 From Plato to Plotinus
  64. 2.7 Islamic Philosophy and Cosmology
  65. 2.8 Medieval Philosophy
  66. 2.9 European Renaissance
  67. 2.10 Heliocentric Model
  68. 2.11 Galileo Galilei
  69. 2.12 Complex Numbers
  70. 2.13 Corpuscular Philosophy
  71. 2.14 Leibniz and Monadology
  72. 2.14.1 Monadology
  73. 2.14.2 The Vis Viva
  74. 2.15 Principle of Least Action
  75. 2.16 Newton’s Mechanics
  76. 2.16.1 Th Concept of Force
  77. 2.16.2 Law of Universal Gravitation
  78. 2.16.3 The Three Laws of Motion
  79. 2.17 Thermal Physics
  80. 2.17.1 Entropy
  81. 2.18 Light and Optics
  82. 2.19 The Speed of Light
  83. 2.20 Electromagnetism
  84. 2.21 Atomic Physics
  85. Chapter III: Modern Physics and Cosmology
  86. 3.1 Aether Retreat
  87. 3.1.1 Lorentz Theory
  88. 3.1.2 Poincaré’s Relativity
  89. 3.2 Special Relativity
  90. 3.2.1 Galilean Transformation
  91. 3.2.2 Lorentzian Transformation
  92. 3.2.3 Minkowski Space
  93. 3.2.4 Lorentz Group
  94. 3.2.5 Poincaré Group
  95. 3.2.6 Mass-Energy Equivalence
  96. 3.2.7 The Twin Paradox
  97. 3.2.8 Experimental Verification
  98. 3.3 General Relativity
  99. 3.3.1 Hilbert Action
  100. 3.3.2 Einstein Field Equations
  101. 3.3.3 Schwarzschild Solution
  102. 3.3.4 The FLRW Metric
  103. 3.3.5 Singularities and Black Holes
  104. 3.3.6 Relativistic Cosmology
  105. 3.3.7 Cosmological Constant
  106. 3.4 Quantum Mechanics
  107. 3.4.1 Spin Angular Momentum
  108. 3.4.2 Pauli Exclusion Principle
  109. 3.4.3 Interpretations of Quantum Mechanics
  110. 3.4.4 Copenhagen Interpretation
  111. 3.4.4.1 Wave-Particle Duality
  112. 3.4.4.2 Uncertainty Principle
  113. 3.4.4.3 Complementarity Principle
  114. 3.4.4.4 Wave-Function Collapse
  115. 3.4.4.5 Observer Effect
  116. 3.4.4.6 The EPR Paradox
  117. 3.4.4.7 Quantum Entanglement
  118. 3.4.4.8 Schroedinger’s Cat
  119. 3.4.4.9 Double-Slit Experiments
  120. 3.4.5 Other Interpretations
  121. 3.4.5.1 Ensemble Interpretation
  122. 3.4.5.2 Pilot Wave Theory
  123. 3.4.5.3 Quantum Logic
  124. 3.4.5.4 Time-Symmetric Theories
  125. 3.4.5.5 Many-Worlds Interpretation
  126. 3.4.5.6 Consciousness Causes Collapse
  127. 3.4.5.7 Stochastic Mechanics
  128. 3.4.5.8 Many-Minds Interpretation
  129. 3.4.5.9 Modal Interpretations
  130. 3.4.5.10 Consistent Histories
  131. 3.4.5.11 Transactional Interpretation
  132. 3.4.5.12 Objective Collapse Theories
  133. 3.4.5.13 Branching Space-Time Theories
  134. 3.4.5.14 Relational Quantum Mechanics
  135. 3.4.5.15 Quantum Information Theories
  136. 3.4.5.16 Duality of Time Interpretation
  137. 3.4.6 Mathematical Formulation
  138. 3.5 Quantum Field Theory
  139. 3.5.1 Classical and Quantum Fields
  140. 3.5.2 Dirac Wave Equation
  141. 3.5.3 Quantum Electrodynamics
  142. 3.5.4 Renormalization
  143. 3.5.5 Quantum Chromodynamics
  144. 3.5.6 Fundamental Interactions
  145. 3.5.7 Unification Theories
  146. 3.5.8 Feynman Diagrams
  147. 3.5.9 Path Integrals
  148. 3.5.10 Symmetry
  149. 3.5.11 Conformal Field Theory
  150. 3.5.12 Perturbative and Non-perturbative
  151. 3.5.13 Fields and Radiation
  152. 3.5.14 Gauge Freedom
  153. 3.5.15 Problem of Gravity
  154. 3.5.16 Super-symmetry
  155. 3.5.17 Axiomatic Approaches
  156. 3.5.18 Standard Model of Particles
  157. 3.6 Physical Cosmology
  158. 3.6.1 Steady-State Universe
  159. 3.6.2 Oscillating Universe
  160. 3.6.3 The Big Bang Model
  161. 3.6.4 Cosmic Inflation
  162. 3.6.5 Accelerating Universe
  163. 3.6.6 Standard Model of Cosmology
  164. 3.7 Strings Theory
  165. 3.8 Loop Quantum Gravity
  166. 3.9 Major Unsolved Problems
  167. 3.9.1 The Problem of Causality
  168. 3.9.2 Interpretation of Quantum Mechanics
  169. 3.9.3 Non-Locality
  170. 3.9.4 Physical Information
  171. 3.9.5 Arrow of Time
  172. 3.9.6 Quantum Gravity
  173. 3.9.7 Unification Theories
  174. 3.9.8 Magnetic Monopoles
  175. 3.9.9 Hierarchy Problem
  176. 3.9.10 Baryon Asymmetry
  177. 3.9.11 Super-Symmetry
  178. 3.9.12 The Planck Scale
  179. 3.9.13 Yang-Mills Theory
  180. 3.9.14 Color Confinement
  181. 3.9.15 Generations of Matter
  182. 3.9.16 Neutrino Masses
  183. 3.9.17 Cosmic Inflation
  184. 3.9.18 Horizon Problem
  185. 3.9.19 Dark Matter
  186. 3.9.20 Dark Energy
  187. 3.9.21 Cosmological Constant Problems
  188. Chapter IV: Time and the Single Monad Model
  189. 4.1 The Oneness of Being
  190. 4.1.1 Sufism versus Philosophy
  191. 4.1.2 Unicity versus Multiplicity
  192. 4.1.3 Unicity of God and His Names
  193. 4.1.4 Trinity of the Cosmos
  194. 4.2 The Single Monad Model
  195. 4.2.1 The Re-creation Principle
  196. 4.2.2 The Single Monad
  197. 4.2.3 Names of the Single Monad
  198. 4.2.4 Structure of the Monad
  199. 4.2.5 The Greatest Element
  200. 4.2.6 Analogies in the Macrocosms
  201. 4.2.6.1 Black Stone and the Kaaba
  202. 4.2.6.2 Spiritual Hierarchy
  203. 4.2.6.3 World of Letters
  204. 4.2.6.4 Hierarchy of Divine Names
  205. 4.2.7 Creation Scenario
  206. 4.3 Origin and Structure of the Cosmos
  207. 4.3.1 The Primordial Cloud
  208. 4.3.2 The Throne and Its Contents
  209. 4.3.3 The Pedestal and Its Contents
  210. 4.3.4 The Stars Constellations
  211. 4.4 Origin and Structure of Time
  212. 4.4.1 When the World Began?
  213. 4.4.2 Origin of Time
  214. 4.4.3 Discrete Nature of Time
  215. 4.4.4 The Seven Cosmic Days
  216. 4.4.4.1 Days of Other Orbs
  217. 4.4.4.2 Day-time and Night-time
  218. 4.4.5 Eternity and the Age
  219. 4.4.6 Reality of Motion
  220. 4.4.7 Significance of the Week
  221. 4.4.8 Divine Origin of Days
  222. 4.4.8.1 Sunday
  223. 4.4.8.2 Monday
  224. 4.4.8.3 Tuesday
  225. 4.4.8.4 Wednesday
  226. 4.4.8.5 Thursday
  227. 4.4.8.6 Friday
  228. 4.4.8.7 Saturday
  229. 4.4.9 Creation in Six Days
  230. 4.4.10 Real Flow of Time
  231. 4.4.10.1 Circulated Days
  232. 4.4.10.2 Taken-out Days
  233. 4.4.10.3 Intertwined Days
  234. Chapter V: Complex-Time Hyperbolic Geometry
  235. 5.1 The Duality of Time Postulate
  236. 5.2 Dynamic Creation and Aether
  237. 5.2.1 Genuinely-Complex Time-Time Flow
  238. 5.2.2 Hyperbolic Complex-Time Geometry
  239. 5.2.3 The Proper Time
  240. 5.2.4 The Arrow of Time
  241. 5.3 Deriving the Three Principles of Relativity
  242. 5.3.1 Locality and the Speed of Light
  243. 5.3.2 Deriving Lorentz Factor
  244. 5.3.3 Deriving the Mass-Energy Relation
  245. 5.3.3.1 Classical Kinetic Energy (in the Normal Time)
  246. 5.3.3.2 Method I (Abrupt Change in the Inner Time)
  247. 5.3.3.3 Method II (Generating Mass in the Inner Time)
  248. 5.3.3.4 Note on Relativistic Mass
  249. 5.3.3.5 Wave-Particle Duality
  250. 5.3.3.6 Effective Mass
  251. 5.3.3.7 Method III (from the Definition of Momentum)
  252. 5.3.3.8 Relativistic Mass
  253. 5.3.4 Relativistic Energy-Momentum Relation
  254. 5.3.5 Equivalence Principle
  255. 5.3.6 Negative and Multidimensional Energy
  256. 5.4 The Five Fundamental Interactions
  257. Chapter VI: Consciousness and the Three Orthogonal Worlds
  258. 6.1 Metaphysics and Ontology
  259. 6.2 Incorporeal Entities
  260. 6.2.1 Soul and Spirit
  261. 6.2.2 Mind and Consciousness
  262. 6.2.3 Body and Aura
  263. 6.3 The Universal Body
  264. 6.4 The Universal Spirit
  265. 6.5 The Universal Soul
  266. 6.6 The Initial Body
  267. 6.7 The Cosmic Heart
  268. 6.8 Trinitarian World
  269. 6.8.1 The Kaaba
  270. 6.8.2 Why Matter is Discrete?
  271. 6.8.3 Breaking out of Time
  272. 6.8.4 World Formula
  273. 6.8.5 Constant Entities
  274. 6.8.6 Creation of Space
  275. 6.9 Duality of Time Interpretation of Quantum Mechanics
  276. 6.9.1 Exclusion Principle
  277. 6.9.2 Uncertainty Principle
  278. 6.9.3 Mass Gap
  279. 6.9.4 Wave-Particle Duality
  280. 6.9.5 Collapse of Wave-Function
  281. 6.9.6 Effect of Observer
  282. 6.9.7 Entanglement
  283. 6.9.8 Quantum Causality
  284. Chapter VII: Alchemy and Eternal Symmetry
  285. 7.1 What Is Alchemy?
  286. 7.1.1 Alchemy in Europe
  287. 7.1.2 Alchemy in Islam
  288. 7.1.3 Hermes Trismegistus
  289. 7.1.4 The Four Elements
  290. 7.2 The Hidden Symmetry
  291. 7.2.1 The Divine Quadratic Origin
  292. 7.2.2 The Twelve Zodiac Zones
  293. 7.2.3 The Seven Heavens
  294. 7.2.4 The Four Quantum Fields
  295. 7.2.5 Numerology
  296. 7.3 Squaring the Circle
  297. 7.3.1 The Problem of Infinity
  298. 7.3.2 The Theoretical Speed of Light
  299. 7.3.3 The Sexagesimal System
  300. 7.3.4 Fractals and Divergent Series
  301. 7.4 The Principle of Love
  302. Conclusion
  303. Author Biography
  304. Bibliography

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