Differentiability and Fractality in Dynamics of Physical Systems

By Ioan Merches and Maricel Agop

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.

• Format: Hardcover
• Language: English
• ISBN: 9814678384
• ISBN13: 9789814678384
• Release Date: October 2015
• Publisher: World Scientific Publishing Company
• Length: 300 Pages
• Weight: 1.20 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"