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

ISBN-13: 9781032238739 / Angielski / Miękka / 2021 / 256 str.

Nicolae Mazilu; Maricel Agop; Ioan Merches

Opis

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.

Spis treści

Chapter 1. Introduction

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 Schrödinger 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

O autorze

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.