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- Author: Ioan Merches
- Publisher: World Scientific Publishing Company
- Year: 2015
- Pages: 300
- ISBN-10: 9814678384
- ISBN-13: 9789814678384
- Format: 15.5 x 23.1 x 2 cm, kieti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Differentiability and Fractality in Dynamics of Physical Systems (e-book) (used book) | bookbook.eu
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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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- Author: Ioan Merches
- Publisher: World Scientific Publishing Company
- Year: 2015
- Pages: 300
- ISBN-10: 9814678384
- ISBN-13: 9789814678384
- Format: 15.5 x 23.1 x 2 cm, kieti viršeliai
- Language: English 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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