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Top Pages Related to: Continuous Symmetry

  • => ULTIMATE SYMMETRY - IV.4.1 Hierarchy of Number Sets
  • ... . This is because we are always starting from practical systems that have no ideal predefined mathematical structure. A circle, for example, is supposed to be an ideal object with a perfect continuous symmetry around its center. Under this assumption we can then calculate its area accordin ...


  • => ULTIMATE SYMMETRY - II.1.4 Spontaneous Symmetry Breaking
  • ... t if the system contains only a single spatial dimension, then only discrete symmetries may be broken in a vacuum state of the full quantum theory, although a classical solution may break a continuous symmetry too. The spontaneous symmetry breaking is completely different process than the ...


  • => ULTIMATE SYMMETRY - III.1.3 The Principle of General Covariance
  • ... e laws, under transformations of the coordinates depending smoothly on arbitrary functions of space and time, is a local symmetry with diffeomorphism group. This extension of the concept of continuous symmetry from global to local symmetries led to Noether s theorem which connects between ...


  • => ULTIMATE SYMMETRY - I.1.1 Conservation Laws and Noether Theorem
  • ... is invariant, and is said to exhibit a symmetry under such transformations. This is the seed idea generalized in Noether s theorem, which can be stated in simple words as: if a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in ...


  • => ULTIMATE SYMMETRY - I.3.3 Group Theory and Symmetry
  • ... nite simple groups was performed in the second half of the 20th century. From these simple groups, all finite groups can be built. On the other hand, the theory of Lie groups deals with the continuous symmetry, so Lie groups are also differentiable manifolds, with the property that the gro ...



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    • ... especially of Lie groups, since these representations often point the way to new physical theories. This will be discussed further in section I.1.       Read Other Books: The SINGLE MONAD MODEL of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: ...


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    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.

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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