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Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics
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About Scale Relativity And Fractal Space-Time: A New
Product Description This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics 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 now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences. Review Scale Relativity seeks to refine our understanding of the nature of space itself. Extended to its natural limits, it has the potential to unify the description of phenomena one associates with Quantum Mechanics, Biology and even Astrophysics and Cosmology. -- Jean-Patrick Connerade "Emeritus Professor and Distinguished Research Fellow, Imperial College London, President of the European Academy of Science, Arts and Literature" The book contains a wealth of insight to accompany an astonishing collection of numerical data from many scales of observation. Nottale has succeeded in going beyond the limitations inherent in conventional differential approaches to produce a convincing picture of scale-dependent physics. -- Garnet Ord "Ryerson University" This is a rich and lovely book. The elegant approach to unifying many concepts in physics provides new ways of seeing things some things we know in new ways and some very new ideas. It is also exciting to see some conceptual tools for thinking about problems as complex as those we face in understanding biological systems. -- David J Galas "Professor and Senior Vice President, Institute for Systems Biology" From the Back Cover This book provides a comprehensive survey of the state-of-the-art in the development of the theory of scale relativity and fractal space-time. It 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 now scale transformations), the fundamental laws of physics may be given a general form that goes beyond and integrates the classical and the quantum regimes. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.
