Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics - Couverture rigide

Nottale, Laurent

Couverture rigide

ISBN 10 : 1848166508 ISBN 13 : 9781848166509

Editeur : Imperial College Press, 2011

Synopsis

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.

A propos du livre

Revue de presse

Nottale's new book, from the first paragraph to the last section, is a bold, courageous and thoughtful work that addresses this problem directly through the paradigm of scale relativity. 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. The book is a must-read for any scientist contemplating bridging the gap between the large and small-scale approximations of modern 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

The sweep of this book is enormous. It has implications for every aspect of physics. But it also has important implications for biological science. Systems Biology is multi-scale since integration of function can occur at many different levels from genes to whole organisms and populations in what some of us have called a principle of biological relativity. Could scale relativity provide the framework for systematizing that principle? Models at different levels could be seen to be working with different scale resolutions, or even scale dimensions. The prospect is tantalising and forms a major challenge to mathematical systems biologists. Those who would welcome that challenge will need to read this book. --Denis Noble, FRS, Oxford University, author of The Music of Life

Détails de l'édition

• Éditeur: Imperial College Press
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 1848166508
• ISBN 13: 9781848166509
• Reliure: Relié
• Nombre de pages: 764
• Coordonnées du fabricant: non disponible