ABSTRACT

Among the newest theories of physics, the Laurent Nottale’s scale theory of relativity deserves a special attention. This is the introductory chapter of the book, which explores and builds upon the principles of Nottale’s scale relativity. The book addresses 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. The book probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. It provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics.