
The Mathematical Principles of Scale Relativity Physics
Description
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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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Content
Chapter 2. Madelung Fluid Dynamics
Chapter 3. De Broglie's Interpretation of Wave Function
Chapter 4. The Planetary Model as a Dynamical Kepler Problem
Chapter 5. The Light in a Schroedinger Apprenticeship
Chapter 6. The Wave Theory of Geometric Phase
Chapter 7. The Physical Point of View in the
Theory of Surfaces
Chapter 8. Nonconstant Curvature
Chapter 9. The Nonstationary Description of Matter
Chapter 10. The Idea of Continuity in Fluid Dynamics
Chapter 11. A Hertz-type Labelling in a Madelung Fluid
Chapter 12. Theory of Nikolai Alexandrovich Chernikov
Conclusions: Concept of Interpretation and Necessary Further
Elaborations
References
Subject index
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