![]() SCALE RELATIVITY AND FRACTAL SPACE-TIME
A New Approach to Unifying Relativity and Quantum Mechanics
by Laurent Nottale (Paris-Meudon Observatory, France)
764pp
978-1-84816-650-9: US$170 / £105 US$119
/ £73.50
"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 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.
Contents:
- General Introduction
- Theory:
- Nondifferentiable Fractal Space-Time
- Laws of Scale Transformation
- Non-Relativistic Quantum Mechanics
- Relativistic Quantum Mechanics
- Geometric Theory of Gauge Fields
- Quantum-Like Mechanics in Scale Space
- Applications:
- Applications to Elementary Particles
- Applications to Cosmology
- Applications to Gravitational Structuring
- Applications to Life and Other Sciences
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