Differentiability And Fractality In Dynamics Of Physical Systems
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A01=Ioan Merches
A01=Maricel Agop
Author_Ioan Merches
Author_Maricel Agop
Category=PBKJ
Category=PHQ
Category=PHU
Category=PHVB
Differentiability
Differential 1-Forms
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Factality
Fractal Atom
Fractal Trajectories
Hubble-type Interaction
Informational Energy
Intragalactic Scale
Product details
- ISBN 9789814678384
- Publication Date: 16 Oct 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
