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Mathematical Principles of Scale Relativity Physics

Nicolae Mazilu | Maricel Agop | Ioan Merches
€63.99
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A01=Ioan Merches
A01=Maricel Agop
A01=Nicolae Mazilu
advanced fluid dynamics
Airy Function
asymptotic freedom
Author_Ioan Merches
Author_Maricel Agop
Author_Nicolae Mazilu
Blackbody Radiation
Born's probabilistic interpretation
Category=PHR
Category=PHU
confinement
continuous group theory
Curvature Matrix
De Broglie Wave
De Broglie's Theory
De Broglie’s Theory
Einstein Elevator
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
extended particle
Exterior Differential
finite
Fisher Information Measure
Fundamental Tensor
geometric phase analysis
graduate physics textbook
group theory applications
Hermann Von Helmholtz
Hertz material particle
Hertz natural philosophy
Hubble Parameter
infinite
Kepler Motion
Kepler Orbit
Kepler Problem
Laurent Nottale's scale relativity
Madelung fluid
Material Point
Mathematical Expression
mathematical physics methods
matter structure
Newtonian forces
Ordinary Differential Equation
Physical Ray
physical structure
Quadratic Variance Function
quantum field theory
quantum mechanics
Reynolds Transport Theorem
Riemannian Metric
Scale relativity physics
scale transition in physical systems
Schrodinger equation
Skew Symmetric Part
sound mathematical principle
Tangent Plane
theory of colors
transfinite
Vice Versa
Wave Function

Product details

  • ISBN 9781032238739
  • Weight: 453g
  • Dimensions: 178 x 254mm
  • Publication Date: 13 Dec 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description

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.
About Ioan Merches | Maricel Agop | Nicolae Mazilu
Nicolae Mazilu is a researcher at the Institute of Nuclear Research, Romania, an associate researcher at the University of Akron, USA, and recently retired as a Senior Project Engineer at Bridgestone/Firestone, Inc., USA; Maricel Agop is an associate researcher at the Technical University Gheorghe Asachi and Al.I.Cuza University, Romania: Ioan Merches is Professor Emeritus, at Al.I.Cuza” University, Iasi, Romania.

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