Islamic Calligraphy

Top Pages Related to: Imaginary Part

  • => Oneness versus Multiplicity
  • ... ry of divine attributes, that we shall discuss further in Chapter IV. This is indeed the origin of the duality nature of time itself, which then becomes ``genuinely-complex'', with real and imaginary parts, and this also makes the final dimensions of space-time geometry fractal, as we shal ...


  • => THE DOT POSTULATE - Method IV (complex momentum and energy-momentum relation)
  • ... etween  and  on the outer imaginary level of time where the particle whose mass is  gains an apparent velocity , and thus its effective mass increases from  to , and this term makes the imaginary part of the complex momentum :                           (18) & ...


  • => ULTIMATE SYMMETRY - III.2.8 Method III (the total relativistic energy):
  • ... equation, that is equivalent to equation 3.14, will be also derived in section III.2.9 starting from the definition of momentum as , but because it is genuinely complex, and hyperbolic, the imaginary part of momentum will have negative contribution just as we have seen for the outer time w ...


  • => THE DOT POSTULATE - 2.  Introduction:
  • ... the inner levels of time, both the complex and fractal dimensions would not have any “genuine” meaning, unless both the numerator and denominator of the fraction, and both the real and imaginary parts of the complex number, are all of the same nature (of time). In this manner, normal ...


  • => ULTIMATE SYMMETRY - III.1.6 Lorentz Transformations
  • ... rm velocity  with respect to the first frame, are: , where , and since: , then: . In the complex-time frame of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitutes space, thus the time coordina ...


  • => Solving the Problem of Dark Matter According to the Duality of Time Theory
  • ... at are found in the Sumerian and most other ancient civilizations. These four fundamental structures correspond to (0, 0), (c, 0), (0, c) and (c, c), since space-time has a real part and an imaginary part. Physical matter, as it will be explained in the coming chapters, is described as (c, ...


  • => DUALITY OF TIME - 5.3.2  Deriving Lorentz Factor
  • ... uniform velocity with respect to the first frame, are: , where , and since: , then: . In the complex-time frame of the Duality of Time Postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitutes space, thus the time coordina ...


  • => ULTIMATE SYMMETRY - IV.4.2 General Relativity Approximation
  • ... the new discrete symmetry of the time-time frame, this transformation will be equally valid between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time implies that the instantaneous velocity in the imaginary time is always zero ...


  • => ULTIMATE SYMMETRY - CHAPTER I: NORMAL SYMMETRY
  • ... lating the inner levels of time, both the complex and fractal dimensions would not have any genuine meaning, unless both the numerator and denominator of the fraction, and both the real and imaginary parts of the complex number, are all of the same nature. In this manner, normal time is an ...


  • => ULTIMATE SYMMETRY - I.4 Outline of the Single Monad Model and Duality of Time Theory
  • ... al onto these spatial dimensions, which are being re-created in the inner (real) flow of time. Therefore, the final time-time dimensions becomes genuinely fractal and complex, with real and imaginary parts. The speed of light itself, in any medium, is the dynamic ratio of the outer to inne ...


  • => THE DOT POSTULATE - Method III (the total relativistic energy):
  • ... ast equation, that is equivalent to equation 16, will be also derived in section 6.2.8 starting from the definition of momentum as , but because it is genuinely complex, and hyperbolic, the imaginary part of momentum will have negative contribution just as we have seen for the outer time w ...


  • => THE DOT POSTULATE - 6.1.  Lorentz Transformations:
  • ... niform velocity  with respect to the first frame, are: , where , and since: , then: . In the complex-time frame of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitutes space, thus the time coordina ...


  • => Temporal Numbers
  • ... othing but the speed of light itself whose normalized value also corresponds to the fractal dimensions of geometry, which then becomes “genuinely hyper-complex”, since both its real and imaginary parts have the same nature (of time). Actually, as we have shown in the first three volume ...


  • => TIME CHEST - 2.1 Ibn al-Arabi’s View of Creation
  • ... of divine Attributes, that we shall discuss further in Chapter IV. This is indeed the origin of the duality nature of time itself, which then becomes “genuinely-complex” , with real and imaginary parts, and this also makes the final dimensions of space-time geometry fractal, as we shal ...


  • => ULTIMATE SYMMETRY - III.2.9 Method IV (complex momentum and energy-momentum relation)
  • ...  on the outer imaginary level of time where the particle whose mass is  gains an apparent velocity , and thus its effective mass increases from  to , and this term makes the imaginary part of the complex momentum :    (3.16)   The first term gives us the real ...


  • => TIME CHEST - 3.3.2 The Dynamic Creation of Dimensions
  • ... originally shown by Poincaré Poincaré (1906), but now this now applies to transformations between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time implies that the instantaneous velocity in the outer level of time is always ...


  • => TIME CHEST - 3.3.3 The Two Arrows of Time
  • ... multidimensional.Actually, the hyperbolic split-complex number (c, c) denotes a non-invertible null vector that describes the asymptotes, whose modulus equals zero, since both its real and imaginary parts are equal. At the same time, as a normal complex number, (c, c) describes an isotrop ...


  • => ULTIMATE SYMMETRY - CHAPTER IV: ULTIMATE SYMMETRY
  • ... phrased from the Meccan Revelations, III.109.16 Everything other than the Human are (imaginary) creations, while the Human alone is both creation and real (i.e. complex number with real and imaginary parts). The Perfect Human is in fact the real-through-whom-things-are-created, or because ...


  • => THE DOT POSTULATE - 5.3.  General Relativity Approximation:
  • ... the new discrete symmetry of the time-time frame, this transformation will be equally valid between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time implies that the instantaneous velocity in the imaginary time is always zero ...


  • => ULTIMATE SYMMETRY - Introduction: Beauty and the Principle of Love
  • ... metry of divine Attributes, that we shall discuss further in Chapter IV. This is indeed the origin of the duality nature of time itself, which then becomes genuinely-complex , with real and imaginary parts, and this also makes the final dimensions of space-time geometry fractal, as we shal ...


  • => TIME CHEST - 3.4.2 The Equivalence Principle of General Relativity
  • ... tial frames! This invariance of momentum between non-inertial frames is conceivable, because it means that as the velocity increases (for example), the gain in kinetic momentum (that is the imaginary part) is compensated by the increase in the effective mass due to acceleration, which caus ...


  • => The Duality of Time Theory
  • ... m → ∞ . If this extreme state could ever happen (but not by acceleration, as we shall see further below), the system would be described by ( c , c ) , which means that both the real and imaginary parts of complex-time would be continuous, and this describes another homogeneous Euclidea ...



    Other Pages Related to Search Keywords:

    • ... Islamic Cosmology =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Ibn Al-Arabi =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Mohamed Haj Yousef =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Single Monad Model =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Duality Of Time =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Ultimate Symmetry =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Cosmology =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Time =>:

    • ... dition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Space-Time =>:

    • ... ew dimension that is orthogonal on the previous level. Multiplying with the imaginary unit again causes time to become real again, i.e. like space. This means that each point of our 3 D + 1 space-time is the combination of seven dimensions of time, the first six are the real levels which m ...


    • ... Spacetime =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Special Relativity =>:

    • ... on x-axis only. Alternatively, we can now use the new time-time interval which is the modulus of complex time: ∥ t c ∥ = t r 2 − t i 2 , and it is indeed the same proper time, τ , in SPECIAL RELATIVITY : ∥ t c ∥ = ( x ∕ c ) 2 − t i 2 = t i ( x 2 ∕ t i 2 ) ∕ c 2 − 1 = t ...


    • ... General Relativity =>:

    • ... s situated inside a spatial dimension it will appear to them continuous and infinite, while it forms only one discrete state in the encompassing outer time. As we shall see in section 4.3 , GENERAL RELATIVITY is the first approximation for inside observers, but since the Universe is evolvi ...


    • ... Quantum Mechanics =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    • ... Quantum Field Theory =>:

    • ... instance of time, because the resulting instantaneous space is continuous, but when the outward time flows these instances will form a series of discrete states that should be described by QUANTUM FIELD THEORY . If we combine these two descriptions properly, we should be able to eliminate ...


    • ... Speed Of Light =>:

    • ... re-created. Nonetheless, since it is not possible to accelerate a physical object (to make all its geometrical points) to move at the speed of creation c , one alternative way to reach this speed of light, and thus make a new spatial dimension, is to combine the two orthogonal states ( c , ...


    • ... Symmetry =>:

    • ... , from our perspective. In this case, the ground state of that vacuum would be ( 0 , c ) , which describes anti-matter as we shall explain further in section 6.1 , when we speak about super-symmetry and its breaking. Equivalently, the apparent velocity v can not exceed c because it is the ...


    • ... Supersymmetry =>:

    • ... tational masses, in addition to allowing energy and mass to become imaginary, negative and even multidimensional. This will be discussed further in sections 5.1 , 5.2 and 5.4 , respectively. ...


    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:


    My soul is from elsewhere, I'm sure of that, and I intend to end up there.
    Jalaluddin Rumi [The Essential Rumi - trns. Coleman Barks]
    quote