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Differentiability and Fractality in Dynamics of Physical Systems
Hardcover
ISBN13: 9789814678384
Publisher: World Scientific Publishing Company
Published: Oct 31 2015
Pages: 300
Weight: 1.20
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
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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