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Home Academics Physics Differentiability and Fractality in Dynamics of Physical Systems
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Differentiability and Fractality in Dynamics of Physical Systems
by Merches and Ioan
4.3
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Creators
AuthorMerches and Ioan
Publisher World Scientific Publishing Company
SynopsisUsing 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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