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The Mathematical Principles of Scale Relativity Physics : The Concept of Interpretation

By: (Author) Ioan Merches , (Author) Maricel Agop , (Author) Nicolae Mazilu

Manufacture on Demand

Ksh 8,650.00

Format: Paperback / Softback

ISBN-10: 1032238739

ISBN-13: 9781032238739

Publisher: Taylor & Francis Ltd

Imprint: CRC Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Dec 13th, 2021

Print length: 256 Pages

Weight: 453 grams

Product Classification: Relativity physics
Mathematical physics

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This book explores and builds upon the principles of Laurent Nottale’s scale relativity. It provides a unified framework for the treatment of a number of problems encountered by researchers studying the dynamics of physical systems. The work will be of interest to graduate students and academic researchers working in mathematics and physics.

The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation

explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores Madelung fluid from a wave mechanics point of view, showing that confinement and asymptotic freedom are the fundamental laws of modern natural philosophy. It then probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. The book provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics.

Key Features:

  • Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics

  • Provides the fundamental equations necessary for interpretation of matter, describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom

  • Establishes a natural connection between the Newtonian forces and the Planck’s law from the point of view of space and time scale transition: both are expressions of invariance to scale transition

The work will be of great interest to graduate students, doctoral candidates, and academic researchers working in mathematics and physics.

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