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World Scientific Publishing Company Differentiability and Fractality in Dynamics of Physical Systems

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Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 October 2015
Listed Since
01 June 2015

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