Islamic Calligraphy

Top Pages Related to: Hyperbolic Numbers

  • => TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity
  • ... ws expressing the (deceitfully continuous) non-Euclidean space-time in terms of its granular Euclidean complex-time space, whose granularity is expressed through the intrinsic properties of hyperbolic numbers. In this manner, the dimensions of space are dynamically formed by the linear flo ...


  • => DUALITY OF TIME - 5.3.4  Relativistic Energy-Momentum Relation
  • ... ation of the relativistic energy-momentum relation from the fundamental definition of momentum is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...


  • => DUALITY OF TIME - 5.3.2  Deriving Lorentz Factor
  • ... l moving at this same real speed. Figure 5.3: The actual velocity is the modulus of split-complex velocity that combines the real speed with the imaginary velocity , calculated according to hyperbolic numbers, thus: , from which we can easily calculate Lorentz boost as . Lorentz boost is t ...


  • => ULTIMATE SYMMETRY - III.2.9 Method IV (complex momentum and energy-momentum relation)
  • ... of the relativistic energy-momentum relation from the fundamental definition of momentum  is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...


  • => ULTIMATE SYMMETRY - I.4.4 The Dynamic Formation of Dimensions
  • ... w of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time , so the total complex time is: , as split-complex or hyperbolic numbers. We can also notice that the instantaneous velocity  in the normal time is a ...


  • => ULTIMATE SYMMETRY - I.4.3 The Duality of Time Postulate
  • ... (deceitfully continuous) non-Euclidean space-time in terms of its granular and fractal complex-time space, whose granularity and fractality are expressed through the intrinsic properties of hyperbolic numbers (), i.e. without invoking Riemannian geometry, as discussed further in section I. ...


  • => ULTIMATE SYMMETRY - CHAPTER I: NORMAL SYMMETRY
  • ... I, General Relativity is the first approximation for inside observers, necessarily situated within the  spatial dimensions, but since the Universe is evolving we need to describe it by hyperbolic numbers , from the time perspective. So General Relativity is valid every single instance ...


  • => THE DOT POSTULATE - Author Biography
  • ... acteristics of a wep test in a sounding-rocket payload. Classical and Quantum Gravity   29 (18), 184013. Rochon, D. and M. Shapiro (2004). On algebraic properties of bicomplex and hyperbolic numbers. Anal. Univ. Oradea, fasc. math   11 (71), 110. Rohrlich, F. (1990). An elem ...


  • => DUALITY OF TIME - 1.3  Complex-Time Geometry
  • ... ws expressing the (deceitfully continuous) non-Euclidean space-time in terms of its granular Euclidean complex-time space, whose granularity is expressed through the intrinsic properties of hyperbolic numbers.     Read Other Books: The Single Monad Model of the Cosmos: Ibn Arabi' ...


  • => TIME CHEST - 3.3.2 The Dynamic Creation of Dimensions
  • ... time-time space. In the real flow of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time, as split-complex or hyperbolic numbers. In reality, however, we can conceive of at least seven levels of time , which cu ...


  • => THE DOT POSTULATE - 4.  A Brief General Analysis:
  • ... (deceitfully continuous) non-Euclidean space-time in terms of its granular and fractal complex-time space, whose granularity and fractality are expressed through the intrinsic properties of hyperbolic numbers ( ), i.e. without invoking Riemannian geometry, as discussed further in section 5 ...


  • => THE DOT POSTULATE - 5.  The Dynamic Formation of Dimensions:
  • ... w of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time , so the total complex time is: , as split-complex or hyperbolic numbers. We can also notice that the instantaneous velocity  in the normal time is alway ...


  • => THE DOT POSTULATE - Method IV (complex momentum and energy-momentum relation)
  • ... ion of the relativistic energy-momentum relation from the fundamental definition of momentum  is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...


  • => THE DOT POSTULATE - Author Biography
  • ... acteristics of a wep test in a sounding-rocket payload. Classical and Quantum Gravity   29 (18), 184013. Rochon, D. and M. Shapiro (2004). On algebraic properties of bicomplex and hyperbolic numbers. Anal. Univ. Oradea, fasc. math   11 (71), 110. Rohrlich, F. (1990). An elem ...


  • => ULTIMATE SYMMETRY - I.4.5 The Genuinely-Complex Time-Time Frame
  • ...  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 numbers have been also called: tes ...


  • => THE DOT POSTULATE - 5.1.  The Genuinely-Complex Time-Time Frame:
  • ... inates:  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 numbers have been also called: tes ...


  • => DUALITY OF TIME - 5.2  Dynamic Creation and Aether
  • ... r 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 numbers have been also called: tes ...


  • => The Complex-Time Frame
  • ... r 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 numbers have been also called: tes ...



    Other Pages Related to Search Keywords:

    • ... Islamic Cosmology =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Ibn Al-Arabi =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Mohamed Haj Yousef =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Single Monad Model =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Duality Of Time =>:

    • ... dy first the DUALITY OF TIME Postulate , that has been extracted from Chapter V of the DUALITY OF TIME book. ...


    • ... Ultimate Symmetry =>:

    • ... ime Frame The following article is extracted from Chapter III of the Duality of Time book, and some of the details are discussed further in other chapters, as well as Volume III that is the ULTIMATE SYMMETRY . The Duality of Time implies that normal time is actually imaginary or latent wit ...


    • ... Cosmology =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Time =>:

    • ... and how all these major problems could be solved so easily, please study first the Duality of TIME Postulate , that has been extracted from Chapter V of the Duality of TIME book. ...


    • ... Space-Time =>:

    • ... The Duality of Time implies that normal time is actually imaginary or latent with relation to the real flow of time that is creating space and matter. Therefore, the non-Euclidean Minkowski space-time coordinates will be a special approximation of the Euclidean space coordinates , or time ...


    • ... Spacetime =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... 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 =>:

    • ... Therefore, in addition to Lorentz boost, this essential characteristic of the dynamic and granular complex-time structure, allows direct derivation of the equivalence principle that lead to GENERAL RELATIVITY . This will be discussed further in sections 3, 3.2 and 3.5 below. The actual flow ...


    • ... Quantum Mechanics =>:

    • ... hapters, as well as Volume III that is the Ultimate Symmetry . A more concise description is also published in Time Chest .   The Arrow of Time Problem   Logical Interpretation of QUANTUM MECHANICS   Problem of Physical Information   The Problem of Causality   The ...


    • ... Quantum Field Theory =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    • ... Speed Of Light =>:

    • ... ch indicates infinite and inert space that is the ground state of matter particles that are then described by , or: , or also: , which means that they are internally being re-created at the speed of light, that is the real part, and moving outwardly at the imaginary apparent velocity that ...


    • ... Symmetry =>:

    • ... The following article is extracted from Chapter III of the Duality of Time book, and some of the details are discussed further in other chapters, as well as Volume III that is the Ultimate SYMMETRY . The Duality of Time implies that normal time is actually imaginary or latent with relatio ...


    • ... Supersymmetry =>:

    • ... e To understand how all these major problems could be solved so easily, please study first the Duality of Time Postulate , that has been extracted from Chapter V of the Duality of Time book. ...


    Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
    Forgot Password? - [Register]

    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".

    Download the Book "DOT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics" or: READ ONLINE .....>>>>



    Subsribe to Newsletter:


    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