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Top Pages Related to: Differential Equations

  • => TIME CHEST - 3.4.2 The Equivalence Principle of General Relativity
  • ... l Relativity, he was able to predict the curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in Chapter V of Volume II tha ...


  • => DUALITY OF TIME - 5.3.5  Equivalence Principle
  • ... l Relativity, he was able to predict the curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section 3.3 above that an ...


  • => ULTIMATE SYMMETRY - III.3 Equivalence Principle and General Relativity
  • ... l Relativity, he was able to predict the curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section III.2 above that a ...


  • => ULTIMATE SYMMETRY - III.1.2 Symmetry in General Relativity
  • ... l Relativity, he was able to predict the curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations, known as Einstein Field Equations, and they are normally written in tensor f ...


  • => ULTIMATE SYMMETRY - I.3.4 Chaos Theory
  • ... mard was able to show that all particle trajectories diverge exponentially from one another. Chaos theory began in the field of ergodic theory. Later studies, also on the topic of nonlinear differential equations, which were directly inspired by physics problems, such as the three-body pro ...


  • => ULTIMATE SYMMETRY - I.3.3 Group Theory and Symmetry
  • ... o differentiable manifolds, with the property that the group operations are compatible with the smooth structure. They provide a natural framework for analyzing the continuous symmetries of differential equations. Finite groups can be described by writing down the group table consisting of ...


  • => ULTIMATE SYMMETRY - I.1.2 Symmetry in Electromagnetism
  • ... ysics, and it was generalized later in many ways in Relativity and Quantum Field Theory. Using a set of four equations, Maxwell was able to describe the electromagnetic field using a set of differential equations that describe how electric charges and currents create electromagnetic fields ...


  • => THE DOT POSTULATE - Author Biography
  • ... t, L. F. and M. B. Wise (1981). Dimension of a quantum-mechanical path. American Journal of Physics   49 (1), 37–39. Adda, F. B. and J. Cresson (2005). Fractional differential equations and the schrödinger equation. Applied Mathematics and Computation   161 ...


  • => THE DOT POSTULATE - Author Biography
  • ... t, L. F. and M. B. Wise (1981). Dimension of a quantum-mechanical path. American Journal of Physics   49 (1), 37–39. Adda, F. B. and J. Cresson (2005). Fractional differential equations and the schrödinger equation. Applied Mathematics and Computation   161 ...


  • => THE DOT POSTULATE - 6.3.  The Equivalence Principle of General Relativity
  • ... l Relativity, he was able to predict the curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section 6.2 above that an ...


  • => DUALITY OF TIME - 3.3.2  Einstein Field Equations
  • ... c second-rank tensor that is a function of the metric . This relationship between the Einstein tensor and the metric tensor allows the equations to be written as a set of non-linear partial differential equations, whose solutions are the components of the metric tensor. However, exact solu ...



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    • ... Islamic Cosmology =>:

    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


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    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


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    • ... Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    • ... Single Monad Model =>:

    • ... ter fields with non-integral spin. The Einstein equations in the presence of matter are given by adding the matter action to the Einstein-Hilbert action.     Read Other Books: The SINGLE MONAD MODEL of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: ...


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    • ... Space Transcendence Read this short concise exploration of the DUALITY OF TIME Postulate: DoT: The DUALITY OF TIME Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    • ... Ultimate Symmetry =>:

    • ... ;   Read Other Books: The Single Monad Model of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: Complex-Time Geometry and Perpertual Creation of Space The ULTIMATE SYMMETRY : Fractal Complex-Time and Quantum Gravity The Chest of Time: Particle-Wave Duality ...


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    • ... Time =>:

    • ... scendence Read this short concise exploration of the Duality of TIME Postulate: DoT: The Duality of TIME Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


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    • ... tual Creation of Space by Mohamed Haj Yousef Search Inside this Book 3.3.2  Einstein Field Equations Einstein Field Equations are a set of ten equations that describes the curvature of space-time due to the presence of mass and energy, and they are written in tensor form that simply e ...


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    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


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    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    • ... General Relativity =>:

    • ... avitational phenomena, such as rotating black holes, expanding Universe, and gravitational waves. The derivation of Einstein’s equations from an action allows for easy unification of GENERAL RELATIVITY with other classical field theories, such as Maxwell theory of Electromagnetism, ...


    • ... Quantum Mechanics =>:

    • ... me Confinement to Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and QUANTUM MECHANICS ...


    • ... Quantum Field Theory =>:

    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    • ... Speed Of Light =>:

    • ... later as we shall mention below, and we shall discuss it further in section 9.21. The constants and , on the right side of the equation, are Newton’s gravitational constant, and the speed of light in vacuum, respectively. The left side of the equation is usually defined as Einstein ...


    • ... Symmetry =>:

    • ... Read Other Books: The Single Monad Model of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: Complex-Time Geometry and Perpertual Creation of Space The Ultimate SYMMETRY : Fractal Complex-Time and Quantum Gravity The Chest of Time: Particle-Wave Duality: from Ti ...


    • ... Supersymmetry =>:

    • ... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
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    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.

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    Mohamed Haj Yousef


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