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Top Pages Related to: Fractal Dimensions

  • => DUALITY OF TIME - 7.3.1  The Problem of Infinity
  • ... ibed by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890. Although it is a curve, it can be shown that its fractal dimensions are two, which is called the Hausdorff dimension, that is the unit square, and it ...


  • => ULTIMATE SYMMETRY - IV.2.4 The Seven Heavens and the Inner Levels of Time
  • ... ng chapters, but we can already notice that, apart from the first level, which is the single absolute point of space that describes the magnetic monopole, there are three complete and three fractal dimensions of the complex-time, corresponding to the three generations of the bosonic and fe ...


  • => ULTIMATE SYMMETRY - IV.4.3 The Seven Levels of Time
  • ... built on this impracticable  space. So apart from the first level, which is the single absolute point of space that describes the magnetic monopole, there are three complete and three fractal dimensions of time-time, corresponding to the three generations of the bosonic and fermionic ...


  • => ULTIMATE SYMMETRY - I.2.1 Fractals and Divergent Series
  • ... ibed by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890. Although it is a curve, it can be shown that its fractal dimensions are two, which is called the Hausdorff dimension, that is the unit square, and it ...


  • => ULTIMATE SYMMETRY - I.3.2 Breaking of Symmetry
  • ... symmetrical objects are more beautiful if they also have enough complexity and exciting features that make them more fascinating. As we introduced at the top of this chapter, because of the fractal dimensions and chaotic behavior of the system, some small fluctuations around a critical poi ...


  • => ULTIMATE SYMMETRY - I.3.4 Chaos Theory
  • ... are effectively impossible to predict or control, such as turbulence, weather, the stock market, our brain states. The reason why such phenomena are chaotic is because they are described by fractal dimensions, which could have infinite complexity. Nevertheless, recognizing the chaotic natu ...


  • => ULTIMATE SYMMETRY - I.4 Outline of the Single Monad Model and Duality of Time Theory
  • ... al and complex, with real and imaginary parts. The speed of light itself, in any medium, is the dynamic ratio of the outer to inner times, which is equivalent to the corresponding effective fractal dimensions, being three for the normal Euclidean vacuum space, and smaller for denser medium ...


  • => ULTIMATE SYMMETRY - II.4 Fractal Space-Time and Quantum Phenomena
  • ... in section I.4.5 above, starts oscillating in the outer time, which causes all types of vortices that we denote as elementary particles. So we can see how this notion, of space-time having fractal dimensions, would not have any genuine meaning unless both the numerator and denominator of ...


  • => ULTIMATE SYMMETRY - III.3 Equivalence Principle and General Relativity
  • ... ated with the active mass in the real momentum , and the second is associated with the passive mass in the imaginary momentum . However, as discussed further in section II.4, because of the fractal dimensions of the new complex-time discrete geometry, performing the differentiation of this ...


  • => ULTIMATE SYMMETRY - Contents
  • ... Laws and Noether Theorem I.1.2 Symmetry in Electromagnetism I.2 Fractal Geometry and Chaos Theory I.2.1 Fractals and Divergent Series I.2.2 The Speed of Light as the Fractal Dimension I.2.3 Fractal Dimensions and the Emergence of Time I.3 Symmetry and Group Theory I.3.1 Types of Symmetry I ...


  • => THE DOT POSTULATE - 2.  Introduction:
  • ... as the “recurrence”, or counting the number of geometrical nodes as they are re-created in one chronological sequence. Without postulating the inner levels of time, both the complex and fractal dimensions would not have any “genuine” meaning, unless both the numerator and denominat ...


  • => TIME CHEST - 1.1 Sumerian and Babylonian Cosmology
  • ... es, each degree into 60 minutes, and each minute into 60 seconds. This system is profoundly related to the theoretical value of the speed of light, whose normalized value corresponds to the fractal dimensions of our space-time geometry, which may approach three for a perfect vacuum. There ...


  • => TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity
  • ... any motion in time. Therefore, not only physics, but pure mathematics has become relativistic, since it is now fundamentally connected with the speed of light that is nothing but the actual fractal dimensions of geometry as we explained in Volume III, that demonstrates the Ultimate Symmetr ...


  • => TIME CHEST - 3.3.1 Fractal Space-Time and Quantum Phenomena
  • ... Chapter V of Volume II, starts oscillating in the outer time, which causes all types of vortices that we denote as elementary particles. So we can see how this notion, of space-time having fractal dimensions, would not have any “genuine” meaning unless both the numerator and denominat ...


  • => THE DOT POSTULATE - 6.3.  The Equivalence Principle of General Relativity
  • ... ociated with the active mass in the real momentum , and the second is associated with the passive mass in the imaginary momentum . However, as discussed further in section 7, because of the fractal dimensions of the new complex-time discrete geometry, performing the differentiation of this ...


  • => TIME CHEST - 3.4.2 The Equivalence Principle of General Relativity
  • ... les (c, v) , the first is associated with the active mass in the real momentum mc , and the second is associated with the passive mass in the imaginary momentum mv . However, because of the fractal dimensions of the new complex-time discrete geometry, performing the differentiation of this ...


  • => Temporal Numbers
  • ... ion, or the re-fresh rate, which is the ratio between the inner and outer levels of times. This ratio is nothing 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 rea ...


  • => ULTIMATE SYMMETRY - I.2.3 Fractal Dimensions and the Emergence of Time
  • ... ime Postulate and Its Consequences on General Relativity and Quantum Mechanics ...


  • => THE DOT POSTULATE - 7.  Fractal Space-Time and Quantum Phenomena:
  • ... ed in section 5.1 above, starts oscillating in the outer time, which causes all types of vortices that we denote as elementary particles. So we can see how this notion, of space-time having fractal dimensions, would not have any “genuine” meaning unless both the numerator and denominat ...


  • => ULTIMATE SYMMETRY - CHAPTER I: NORMAL SYMMETRY
  • ... al geometry, because the mathematical models must involve a relation with iterative computing, where the output is repeatedly applied to determine the new input. This is the main reason why fractal dimensions are main characteristics of all patterns in nature, in both their outward physica ...


  • => Message from the Author
  • ... pace-time [seven days - six spatial and one temporal dimensions] from which the speed of light is "calculated" as the first fundamental constant whose normalized value is identical with the fractal dimensions of geometry that are formed dynamically at every instance of time. The new ultima ...


  • => TIME CHEST - 3.4.7 The Theoretical Speed of Light
  • ... as not no thickness or breadth. Actually, our feeling of dimensions is all deceptive, because they necessarily imply multiplicity which requires time iterations to be conceived in the mind. Fractal dimensions are used in mathematics to describe and simulate natural objects and phenomena, a ...



    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 =>:

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


    • ... Single Monad Model =>:

    • ... e, , which is its perimeter length, but its area, as a measure of two-dimensions is zero, but along the line and not as the filled two-dimensional shape.     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 =>:

    • ... oid, because it is the whole existence. This ultimate Cosmological Speed can be “calculated” on the bases of metaphysical space-time structure, which is the complex-time geometry of the DUALITY OF TIME Theory. In the three-dimensional space that is evolving in time, the Cosmological Sp ...


    • ... 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 =>:

    • ... ysical spatial dimensions are altogether not real, they are best treated as fractals rather than whole integers, as there had been some attempts to formulate various models based on fractal cosmology, also supported by various experimental data from te distribution of nearby galaxies Barys ...


    • ... 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 ...


    • ... Space-Time =>:

    • ... the absolute speed of the Single Monad that is necessarily in void, because it is the whole existence. This ultimate Cosmological Speed can be “calculated” on the bases of metaphysical space-time structure, which is the complex-time geometry of the Duality of Time Theory. In the three ...


    • ... 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 =>:

    • ... 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 ...


    • ... General Relativity =>:

    • ... the Single Monad is a property of the complex time-time field that it creates through its continuous alternation, or the refresh rate of re-creation. This is what gives rise to Special and GENERAL RELATIVITY , while also allowing instantaneous physical change, and not only transfer of info ...


    • ... Quantum Mechanics =>:

    • ... me Confinement to 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 ...


    • ... Quantum Field Theory =>:

    • ... 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 ...


    • ... Speed Of Light =>:

    • ... n General Relativity and Quantum Mechanics ...


    • ... Symmetry =>:

    • ... imensions which are smooth on all scales, because they are considered as real abstract frames that exist in absolute background. That is why fractals are also known as expanding or evolving symmetry, while normal dimensions are perfectly symmetrical. Therefore, a real three-dimensional spa ...


    • ... 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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