
Differentiability And Fractality In Dynamics Of Physical Systems
World Scientific Publishing Co Pte Ltd
Published on 16. October 2015
Book
Hardback
300 pages
978-981-4678-38-4 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 21 mm
Weight
588 gr
ISBN-13
978-981-4678-38-4 (9789814678384)
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Schweitzer Classification
Persons
Author
Alexandru Ioan Cuza Univ, Romania
Gheorghe Asachi Technical Univ, Romania
Content
Principles of Motion in Invariantive Mechanics; Inertial Invariantive Motion of the Material Point; Field Invariantive Theories; Ondulator Invariantive Theories. Wave-Corpuscule Duality; Invariantive Mechanics of Systems of Material Points; The Photon in Invariantive Ondulator Theories; Lagrangian Method in Invariantive Mechanics; Considerations on Invariantive Mechanics; Invariantive Mechanics of Rigid Body; Covariant Formulation of Conservation Laws in Invariantive Mechanics; Invariantive Mechanics and Informational Energy; Chaos via Fractality in Gravitational Dynamical Systems; Fractality at Small Scale. Fractal Model of Atom; Extended Fractal Hydrodynamic Model with an Arbitrary Fractal Dimension and Its Implications; Theory of Fractional Scale Relativity and Some Applications;