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Top Pages Related to: Discrete Symmetry

  • => TIME CHEST - Introduction: God is the Time
  • ... f time. With this novel postulate, this critical connection provides the transition between the fundamental concepts of discreteness and continuity, thus connecting particles with waves, or discrete symmetry with space-time diffeomorphism. So now it is more clear that, unlike the common un ...


  • => ULTIMATE SYMMETRY - III.2.9 Method IV (complex momentum and energy-momentum relation)
  • ... described in sections 1.4.5 and 3.1.6 above (or Figures: 1.4.4 and 3.1.6), energy and momentum will be also complex and hyperbolic. This significant conclusion, that is a result of the new discrete symmetry, will introduce an essential modification on the relativistic energy-momentum equa ...


  • => ULTIMATE SYMMETRY - I.4.1 The Three Hypothesis of the Single Monad Model
  • ... Gravity as we shall explain further in Chapter II. Einstein s theory of General Relativity was able to explain Gravity in terms of space-time geometry, but it could not realize this hidden discrete symmetry which is the only way to reconcile it with Quantum Mechanics. The complex time-tim ...


  • => ULTIMATE SYMMETRY - IV.2.1 Ultimate Symmetry and Ultimate Asymmetry
  • ... r Him all things exist at once and nothing is ever changing. Actually, this can be conferred even from the current formulation of Lorentz group although it still does not realize the hidden discrete symmetry of the genuinely-complex time-time geometry, since it considers both space and tim ...


  • => DUALITY OF TIME - 1.3  Complex-Time Geometry
  • ... e implies that normal time is actually imaginary or latent with relation to the real flow of time that is creating space and matter. Therefore, this genuinely complex-time will define a new discrete symmetry that allows expressing the (deceitfully continuous) non-Euclidean space-time in te ...


  • => THE DOT POSTULATE - 1.  Abstract:
  • ... nergy become invariant between different inertial and non-inertial frames alike. Therefore, in addition to Lorentz transformation, the equivalence principle is derived directly from the new discrete symmetry. It is argued that according to this postulate, all the principles of relativity a ...


  • => THE DOT POSTULATE - Method IV (complex momentum and energy-momentum relation)
  • ... time as we described in sections 5.1 and 6.1 above (or Figures: 5 and 6.1), energy and momentum will be also complex and hyperbolic. This significant conclusion, that is a result of the new discrete symmetry, will introduce an essential modification on the relativistic energy-momentum equa ...


  • => TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity
  • ... e implies that normal time is actually imaginary or latent with relation to the real flow of time that is creating space and matter. Therefore, this genuinely complex-time will define a new discrete symmetry that allows expressing the (deceitfully continuous) non-Euclidean space-time in te ...


  • => TIME CHEST - Chapter 3: Complex-Time Geometry and Ultimate Symmetry
  • ... or transmutation, rather: the observed objects are always at rest in the different positions that they appear in. This important conclusion is the key to quantize time and reveal the hidden discrete symmetry of space. With this unswerving conclusion, Relativity will be fundamentally based ...


  • => THE DOT POSTULATE - 5.5.  Origin of Mass
  • ... are composed of more sub-particles, and so on until we reach the most fundamental particles which should be massless. This description is fulfilled by the Duality of Time Theory, due to the discrete symmetry of the genuinely-complex time-time geometry as described above. The Duality of Tim ...


  • => ULTIMATE SYMMETRY - III.3.3 Origin of Mass and Other Charges
  • ... are composed of more sub-particles, and so on until we reach the most fundamental particles which should be massless. This description is fulfilled by the Duality of Time Theory, due to the discrete symmetry of the genuinely-complex time-time geometry as described above. The Duality of Tim ...


  • => ULTIMATE SYMMETRY - I.2.3 Fractal Dimensions and the Emergence of Time
  • ... Gravity by Mohamed Haj Yousef Search Inside this Book I.2.3 Fractal Dimensions and the Emergence of Time The Duality of Time Theory exposes a deeper understanding of time, that reveals the discrete symmetry of space-time geometry, according to which the dimensions of space are dynamically ...


  • => ULTIMATE SYMMETRY - IV.4.2 General Relativity Approximation
  • ... ed Riemannian geometry to evaluate space-time curvatures. In the split-complex hyperbolic geometry, Lorentz transformations become rotations in the imaginary plane, and according to the new discrete symmetry of the time-time frame, this transformation will be equally valid between inertial ...


  • => TIME CHEST - 3.4.6 Origin of Mass and Other Charges
  • ... are composed of more sub-particles, and so on until we reach the most fundamental particles which should be massless. This description is fulfilled by the Duality of Time Theory, due to the discrete symmetry of the genuinely-complex time-time geometry as described above. The Duality of Tim ...


  • => THE DOT POSTULATE - 5.3.  General Relativity Approximation:
  • ... metry to evaluate space-time curvatures. In the split-complex hyperbolic geometry, Lorentz transformations become rotations in the imaginary plane (Fjelstad, 1986), and according to the new discrete symmetry of the time-time frame, this transformation will be equally valid between inertial ...


  • => THE DOT POSTULATE - 8.  Conclusion
  • ... d Quantum Mechanics by Mohamed Haj Yousef [ PDF Download ] Search Inside this Book 8.  Conclusion   The Duality of Time Theory exposes a deeper understanding of time, that reveals the discrete symmetry of space-time geometry, according to which the dimensions of space are dynamically ...


  • => Mass-Generation Mechanism Based on the Duality of Time Theory
  • ... re sub-particles, and so on until we reach the most fundamental particles which should be massless. This description is (and can only be) fulfilled by the Duality of Time Theory, due to the discrete symmetry of the genuinely-complex time-time geometry as described in the Books . The Dualit ...


  • => ULTIMATE SYMMETRY - About this Book
  • ... Therefore, we don t need to look further for any new particles to realize the super and hyper symmetries, but we need to introduce some fundamental modifications that will reveal the hidden discrete symmetry of space and allow exact mathematical derivation of the Equivalence Principle of G ...


  • => THE DOT POSTULATE - 4.  A Brief General Analysis:
  • ... x” and “invariant” between all frames, as we shall discuss further in sections 6.3 and 6.4 below. Henceforth, this genuinely-complex time, or time-time geometry will define a profound discrete symmetry that allows expressing the (deceitfully continuous) non-Euclidean space-time in te ...


  • => ULTIMATE SYMMETRY - I.4.3 The Duality of Time Postulate
  • ... and energy will be complex and invariant between all frames, as we shall discuss further in Chapter II. Henceforth, this genuinely-complex time, or time-time geometry will define a profound discrete symmetry that allows expressing the (deceitfully continuous) non-Euclidean space-time in te ...



    Other Pages Related to Search Keywords:

    • ... 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 ...


    • ... Ibn Al-Arabi =>:

    • ... 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 ...


    • ... Mohamed Haj Yousef =>:

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


    • ... Single Monad Model =>:

    • ... ULTIMATE SYMMETRY: Fractal Complex-Time and Quantum Gravity by Mohamed Haj Yousef Search Inside this Book I.4.3 The Duality of Time Postulate Based on the above re-creation principle of the SINGLE MONAD MODEL , the Duality of Time hypothesis can be extracted into the following postulate: At ...


    • ... Duality Of Time =>:

    • ... Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


    • ... Ultimate Symmetry =>:

    • ... 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 ...


    • ... Cosmology =>:

    • ... umbers are now genuinely natural, while the reals are one of their extreme, or unrealistic, approximations, as we shall discuss further in section IV.4.1. Many major problems in physics and cosmology can be resolved according to the Duality of Time Theory, but it would be too distracting t ...


    • ... Time =>:

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


    • ... Space-Time =>:

    • ... f time that are also nested inside each lower dimension of space.   This means that at every instance of the real flow of time there is only one metaphysical point, that is the unit of space-time geometry, and the Universe is a result of its perpetual recurrence in the inner levels of ...


    • ... Spacetime =>:

    • ... 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 ...


    • ... Special Relativity =>:

    • ... relation suffer from unjustified assumptions or approximations, as was also repeatedly acknowledged by Einstein himself. Since this relation forms the basis of Dirac equation which combined SPECIAL RELATIVITY with Quantum Mechanics and lead to the development of some effective quantum fiel ...


    • ... General Relativity =>:

    • ... l recurrence of the original geometrical point: . In Chapter V of Volume II, we have demonstrated how this single postulate leads at the same time to all the three principles of Special and GENERAL RELATIVITY together, since there is no more any difference between inertial and non-inertial ...


    • ... Quantum Mechanics =>:

    • ... ustified assumptions or approximations, as was also repeatedly acknowledged by Einstein himself. Since this relation forms the basis of Dirac equation which combined Special Relativity with QUANTUM MECHANICS and lead to the development of some effective quantum field theories, such as QED ...


    • ... Quantum Field Theory =>:

    • ... m Mechanics and lead to the development of some effective quantum field theories, such as QED and QCD, it is expected that the new genuinely-complex momentum and energy would lead to a full quantum field theory of space-time itself. As we shall discuss further in section III.1.5, this crit ...


    • ... Speed Of Light =>:

    • ... nstantaneous, but its speed is indefinite, because there is nothing to compare to it at this level of absolute oneness, and the reason why individual observers measure a finite value of the speed of light is because they are subject to the time lag during which the spatial dimensions are b ...


    • ... Symmetry =>:

    • ... anscendence 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 ...


    • ... 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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    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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