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Top Pages Related to: Hyperbolic Geometry

  • => DUALITY OF TIME - 1.3.10  Publish or Perish
  • ... er does not contain any new and correct theoretical results and formulas, too. How can such journals specialized in quantum gravity send their manuscripts to reviewers who have not heard of hyperbolic geometry and split-imaginary numbers! They also tend to appoint managing editors who may ...


  • => ULTIMATE SYMMETRY - CHAPTER II: SUPER SYMMETRY
  • ... ity and Quantum Mechanics ...


  • => DUALITY OF TIME - 1.3  Complex-Time Geometry
  • ... me Theory turned this model into innovative theory of cosmology, physics and mathematics. This remarkable breakthrough was realized expressing the duality nature of time in terms of complex hyperbolic geometry, which turned out to be extremely easy and straightforward, since it relies comp ...


  • => ULTIMATE SYMMETRY - IV.4.1 Hierarchy of Number Sets
  • ... imensions of Euclidean space are obtained only at he speed of light, which case the outer level of time is null. Equivalently, we can also say that the physical world, which is described by hyperbolic geometry , is a result of splitting the Euclidean vacuum  into two levels of time as ...


  • => DUALITY OF TIME - 1.2.5  Back to Time
  • ... the Single Monad Model, but it never occurred to me how to convert this fundamental key insight into a mathematical model, which turned out to be extremely simple, with the help of complex hyperbolic geometry that can avoid Riemannian manifolds, which lead to all the complicated curved fo ...


  • => DUALITY OF TIME - How to Read this Book
  • ... uld possibly start with chapter IV to get acquainted with the general philosophical conceptions of Ibn al-Arabi’s cosmology that led to this revolutionary genuinely-complex time-time hyperbolic geometry. Chapters II and III are only necessary for the general readers who would like t ...


  • => DUALITY OF TIME - 4.2.2  The Single Monad
  • ... œDual”, or binary, description is a fundamental property covering all things in existence, and it is actually related to the real flow of time, or more precisely, to the complex-time hyperbolic geometry, where the first digit denotes the real part, and the second denotes the imagina ...


  • => THE DOT POSTULATE - 5.3.  General Relativity Approximation:
  • ... r-dimensional space later became necessary for General Relativity, due to the presence of gravity, which required Riemannian geometry to evaluate space-time curvatures. In the split-complex hyperbolic geometry, Lorentz transformations become rotations in the imaginary plane (Fjelstad, 1986 ...


  • => DUALITY OF TIME - Chapter V: Complex-Time Hyperbolic Geometry
  • ... ences on General Relativity and Quantum Mechanics ...


  • => TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity
  • ... me Theory turned this model into innovative theory of cosmology, physics and mathematics. This remarkable breakthrough was realized expressing the duality nature of time in terms of complex hyperbolic geometry, which turned out to be extremely easy and straightforward, since it relies comp ...


  • => ULTIMATE SYMMETRY - CHAPTER IV: ULTIMATE SYMMETRY
  • ... mathematics is the language of the divine and spiritual realms, because they are based on continuous spaces, while the physical and psychological worlds are primarily based on the granular hyperbolic geometry. We could use this abstract language in hypothetical situations, where time is n ...


  • => Amazon Reviews of the Duality of Time
  • ... ll as the Duality of Time Theory, other topics in the book include physics and meta-physics; philosophy and cosmology, both ancient and modern; time and the single Monad model, complex-time hyperbolic geometry; consciousness and the three orthogonal worlds; and alchemy and eternal symmetry ...


  • => ULTIMATE SYMMETRY - IV.4.2 General Relativity Approximation
  • ... r-dimensional space later became necessary for General Relativity, due to the presence of gravity, which required Riemannian geometry to evaluate space-time curvatures. In the split-complex hyperbolic geometry, Lorentz transformations become rotations in the imaginary plane, and according ...


  • => DUALITY OF TIME - Contents
  • ... esday 4.4.8.5  Thursday 4.4.8.6  Friday 4.4.8.7  Saturday 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 5.2  Dynamic Creation and Aether 5.2.4  The Arrow of Time 5.3.1  ...


  • => THE DOT POSTULATE - 2.  Introduction:
  • ... he outer level of) time is hyperbolically orthogonal on the dimensions of space, and thus expressed by the hyperbolic split-complex numbers , in which the modulus is given by . This complex hyperbolic geometry is the fundamental reason behind relativity and Lorentz transformations, and it ...


  • => ULTIMATE SYMMETRY - CHAPTER I: NORMAL SYMMETRY
  • ... he outer level of) time is hyperbolically orthogonal on the dimensions of space, and thus expressed by the hyperbolic split-complex numbers , in which the modulus is given by . This complex hyperbolic geometry is the fundamental reason behind relativity and Lorentz transformations, and it ...


  • => ULTIMATE SYMMETRY - IV.4 Granular Geometry and Absolute Homogeneous Space
  • ... mathematics is the language of the divine and spiritual realms, because they are based on continuous spaces, while the physical and psychological worlds are primarily based on the granular hyperbolic geometry. We could use this abstract language in hypothetical situations, where time is n ...


  • => TIME CHEST - 3.5.1 The Incorporeal Worlds
  • ... ense by applying it to physical masses as well as other quantum charges. In other words, super-symmetric particles, which are the fermions, obey Lorentz transformations, but in the granular hyperbolic geometry, whereas the hyper-symmetric particles, which are the bosons, since they are wav ...


  • => ULTIMATE SYMMETRY - Introduction: Beauty and the Principle of Love
  • ... matical derivation will reveal the ultimate granular structure of space-time. Therefore, super symmetric particles, which are the fermions, obey Lorentz transformations, but in the granular hyperbolic geometry, whereas the hyper symmetric particles, which are the bosons, since they are wav ...


  • => ULTIMATE SYMMETRY - CHAPTER III: HYPER SYMMETRY
  • ... ense by applying it to physical masses as well as other quantum charges. In other words, super-symmetric particles, which are the fermions, obey Lorentz transformations, but in the granular hyperbolic geometry, whereas the hyper-symmetric particles, which are the bosons, since they are wav ...


  • => TIME CHEST - 2.1 Ibn al-Arabi’s View of Creation
  • ... matical derivation will reveal the ultimate granular structure of space-time. Therefore, super symmetric particles, which are the fermions, obey Lorentz transformations, but in the granular hyperbolic geometry, whereas the hyper symmetric particles, which are the bosons, since they are wav ...


  • => DUALITY OF TIME - 5.2  Dynamic Creation and Aether
  • ... e been also called: tessarines, motors, bireal, perplex, semi-complex, or split-complex, but in this book, unless otherwise stated, imaginary and complex refer to these hyperbolic numbers . Hyperbolic geometry was used in the early formulation of Special Relativity to represent Lorentz boo ...



    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 =>:

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


    • ... Single Monad Model =>:

    • ... rupting and delaying the real flow of time that is creating space and matter: , so the actual (net value of) time is always smaller than the real time: .     Read Other Books: The SINGLE MONAD MODEL of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: ...


    • ... Duality Of Time =>:

    • ... 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 ...


    • ... Cosmology =>:

    • ... in lower dimensions: , , , , as we shall discuss further in section 4. The concept of imaginary time is already being used widely in various mathematical formulations in quantum physics and cosmology, without any actual justification apart from the fact that it is a quite convenient mathem ...


    • ... 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 ...


    • ... Space-Time =>:

    • ... nsions, as the plane, and we will mostly consider the axis only for simplicity. In reality, however, we can conceive of at least seven levels of time, which curl into the four dimensions of space-time: , that are the three spatial and one temporal dimensions; since each spatial dimension i ...


    • ... 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 =>:

    • ... semi-complex, or split-complex, but in this book, unless otherwise stated, imaginary and complex refer to these hyperbolic numbers . Hyperbolic geometry was used in the early formulation of SPECIAL RELATIVITY to represent Lorentz boost as a rotation in the imaginary plane, but it will be s ...


    • ... General Relativity =>:

    • ... ll be shown that Riemannian geometry on is an approximation of this complex-time Euclidean geometry on . This approximation, that lead to the non-Euclidean Minkowski space-time continuum of GENERAL RELATIVITY , is necessary only when we consider the dimensions of space to be existing togeth ...


    • ... Quantum Mechanics =>:

    • ... y of Time, however, since space is now the real time, the normal time itself becomes genuinely imaginary. Employing imaginary time is very useful because it provides a method for connecting QUANTUM MECHANICS with statistical mechanics by using a Wick rotation, by . In this manner we can fi ...


    • ... Quantum Field Theory =>:

    • ... dynamic and granular complex time, that results from the Duality of Time Postulate, leads to the three principles of Relativity all at once. Therefore, in addition to making gravity a true quantum field theory, other fundamental interactions could be also represented in terms of this spac ...


    • ... Speed Of Light =>:

    • ... ex time is: , as split-complex or hyperbolic number. This Duality of Time model brings back the same classical concept of aether but in a novel manner that does not require it to affect the speed of light, since it is now the background space itself, rather than something in the background ...


    • ... Symmetry =>:

    • ... e continuous background space with physical dimensions. It is this approximation that lead to General Relativity, but Quantum Gravity can not be achieved without taking into account the new symmetry of this granular complex-time geometry, which is also capable of explaining the other funda ...


    • ... 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.

    Enjoy reading...

    Mohamed Haj Yousef


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    As a result of the original divine manifestation, all kinds of motions are driven by Love and Passion. Who could possibly not instantly fall in love with this perfect and most beautiful harmony! Beauty is desirable for its own essence, and if the Exalted (Real) did not manifest in the form of beauty, the World would not have appeared out into existence.
    paraphrased from: Ibn al-Arabi [The Meccan Revelations: II.677.12 - trsn. Mohamed Haj Yousef]
    quote