The Theory of Scale Relativity

Beschreibung

This book provides a comprehensive survey of the state-of-the-art in the development of the relativity theory of scales. This theory suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling quantum mechanics to be based on the principle of relativity provided this principle is extended to scale transformations of the reference system. In the framework of such a newly-generalized relativity theory (including position, orientation, motion and scale transformations), the fundamental laws of physics may be given a general form that transcends and integrates the classical and the quantum regimes. A related concern of this book is the geometry of space-time, particularly at small scales. By collecting and organizing developments and applications from diverse fields, it is hoped that this monograph will serve as a reference for graduate students and researchers interested in the foundations of physics, quantum mechanics, astronomy, cosmology, the life sciences, self-organization processes, and scale-dependent phenomena. Prerequisites are limited to a basic knowledge of classical and quantum mechanics, special and general relativity, and fluid mechanics.

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Laurent Nottale

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