Mathematical Principles of Scale Relativity Physics

<p>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. </p><p>Key Features: </p><ul> <p> </p> <li>Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics </li> <p> </p> <li>Provides the fundamental equations necessary for interpretation of matter describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom </li> <p> </p> <li>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</li> </ul><p>The work will be of great interest to graduate students doctoral candidates and academic researchers working in mathematics and physics.</p>