Differentiability and Fractality in Dynamics of Physical Systems - Hardcover

Ioan Merches; Maricel Agop

 
9789814678384: Differentiability and Fractality in Dynamics of Physical Systems
Hardcover
ISBN 10: 9814678384 ISBN 13: 9789814678384
Publisher: World Scientific Publishing Company, 2015

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2015
Language
English
ISBN 10 
9814678384
ISBN 13 
9789814678384
Binding
Hardcover
Number of pages
300