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Differentiability and Fractality in Dynamics of Physical Systems by Ioan Merches, Maricel Agop

Differentiability and Fractality in Dynamics of Physical Systems

by Ioan Merches , Maricel Agop
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Book cover type: Hardcover
  • ISBN13: 9789814678384
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 300
  • Original Price: USD 132.0
  • Language: English
  • Edition: N/A
  • Item Weight: 545 grams
  • BISAC Subject(s): Differential Equations / General

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed.The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits.Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications -- fractal atom, potential well, free particle, etc. -- are discussed.

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