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Differentiability And Fractality In Dynamics Of Physical Systems (Hardcover)
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Differentiability And Fractality In Dynamics Of Physical Systems (Hardcover)
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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.
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