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Top Pages Related to: Imaginary Unit

  • => TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity
  • ... ce are dynamically formed by the linear flow of the inner levels of time, which has to be interrupted in order to make a new dimension. This interruption is achieved by multiplying with the imaginary unit, which produces an abrupt rotation, creating a new dimension that is perpendicular on ...


  • => DUALITY OF TIME - 1.3.1  Formation of Dimensions
  • ... ce are dynamically formed by the linear flow of the inner levels of time, which has to be interrupted in order to make a new dimension. This interruption is achieved by multiplying with the imaginary unit, which produces an abrupt rotation, creating a new dimension that is perpendicular on ...


  • => DUALITY OF TIME - Conclusion
  • ... re the physical, psychical and spiritual worlds, which form together the perfect infinite spherical symmetry of the constant eternal entities. This curling is a result of multiplying by the imaginary unit that causes abrupt rotation by , so the dynamic creation is introduced in terms of th ...


  • => ULTIMATE SYMMETRY - II.2.1 Chiral Symmetry
  • ... ormation into account, hence the duality nature of time and then treating the dimensions as complex numbers. Since spatial dimensions are created by a Wick rotation, by multiplying with the imaginary unit, which produces an abrupt rotation by , creating a new dimension that is orthogonal o ...


  • => ULTIMATE SYMMETRY - I.4.5 The Genuinely-Complex Time-Time Frame
  • ... ime coordinates:  where  or  represent the inner real part of time : , and  represents the outer imaginary time , so the total complex time is , where  is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbe ...


  • => ULTIMATE SYMMETRY - I.4.4 The Dynamic Formation of Dimensions
  • ... II.4.2 below, each spatial dimension is dynamically formed by the real flow of time, and whenever this flow is interrupted, a new dimension starts, which is achieved by multiplying with the imaginary unit that produces an abrupt rotation by , creating a new dimension that is perpendicular ...


  • => The Complex-Time Frame
  • ... clidean space coordinates , or time coordinates: where or represent the inner real part of time: , and represents the outer imaginary time, so the total complex time is , where is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbe ...


  • => THE DOT POSTULATE - 5.1.  The Genuinely-Complex Time-Time Frame:
  • ... , or complex time-time coordinates:  where  or  represent the inner real part of time : , and  represents the outer imaginary time , so the total complex time is , where  is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbe ...


  • => THE DOT POSTULATE - 5.  The Dynamic Formation of Dimensions:
  • ... on 5.2 below, each spatial dimension is dynamically formed by the real flow of time, and whenever this flow is interrupted, a new dimension starts, which is achieved by multiplying with the imaginary unit that produces an “abrupt rotation” by , creating a new dimension that is perpendi ...


  • => TIME CHEST - Conclusion
  • ... re the physical, psychical and spiritual worlds, which form together the perfect infinite spherical symmetry of the constant eternal entities. This curling is a result of multiplying by the imaginary unit that causes abrupt rotation by 90 degrees, so the dynamic creation is introduced in t ...


  • => Solving the Arrow of Time Problem Based on the Duality of Time Theory
  • ... me is doing to the continuous flow of the inner time that is perpetually re-creating space and matter in one chronological sequence. Mathematically, this is achieved by multiplying with the imaginary unit, which produces an abrupt rotation by 90 degrees, creating a new dimension that is or ...


  • => TIME CHEST - Chapter 3: Complex-Time Geometry and Ultimate Symmetry
  • ... discontinuity, and this is what the outer time is doing to the continuous flow of the inner time that is creating space and matter. Mathematically, this is achieved by multiplying with the imaginary unit which produces an abrupt rotation by 90 degrees, creating a new dimension that is per ...


  • => TIME CHEST - 3.3.3 The Two Arrows of Time
  • ... me is doing to the continuous flow of the inner time that is perpetually re-creating space and matter in one chronological sequence. Mathematically, this is achieved by multiplying with the imaginary unit, which produces an “abrupt rotation” by 90 degrees, creating a new dimension that ...


  • => ULTIMATE SYMMETRY - II.4.2 The Two Arrows of Time
  • ... me is doing to the continuous flow of the inner time that is perpetually re-creating space and matter in one chronological sequence. Mathematically, this is achieved by multiplying with the imaginary unit, which produces an abrupt rotation by , creating a new dimension that is orthogonal o ...


  • => THE DOT POSTULATE - 5.2.  The Two Arrows of Time:
  • ... me is doing to the continuous flow of the inner time that is perpetually re-creating space and matter in one chronological sequence. Mathematically, this is achieved by multiplying with the imaginary unit, which produces an “abrupt rotation” by , creating a new dimension that is orthog ...


  • => The Duality of Time Theory
  • ... me is doing to the continuous flow of the inner time that is perpetually re-creating space and matter in one chronological sequence. Mathematically, this is achieved by multiplying with the imaginary unit, which produces an “abrupt rotation” by π ∕ 2 , creating a new dimension that ...


  • => DUALITY OF TIME - 5.2  Dynamic Creation and Aether
  • ... discontinuity, and this is what the outer time is doing to the continuous flow of the inner time that is creating space and matter. Mathematically, this is achieved by multiplying with the imaginary unit which produces an abrupt rotation by , creating a new dimension that is perpendicular ...



    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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    Because He loves beauty, Allah invented the World with ultimate perfection, and since He is the All-Beautiful, He loved none but His own Essence. But He also liked to see Himself reflected outwardly, so He created (the entities of) the World according to the form of His own Beauty, and He looked at them, and He loved these confined forms. Hence, the Magnificent made the absolute beauty --routing in the whole World-- projected into confined beautiful patterns that may diverge in their relative degrees of brilliance and grace.
    paraphrased from: Ibn al-Arabi [The Meccan Revelations: IV.269.18 - trans. Mohamed Haj Yousef]
    quote