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Differentiability and Fractality in Dynamics of Physical Systems (Hardcover) (Ioan Merches & Maricel
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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.
Number of Pages: 282
Sub-Genre: Quantum Theory, Mathematical Physics, Astrophysics + Space Science
Publisher: World Scientific Pub Co Inc
Author: Ioan Merches & Maricel Agop
Street Date: October 31, 2015
Item Number (DPCI): 248-05-0367
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