Fractal Space-time and Microphysics: Towards a Theory of Scale Relativity

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World Scientific, 1993 - Science - 333 pages
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This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.
 

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Contents

GENERAL INTRODUCTION
1
FROM FRACTAL OBJECTS TO FRACTAL SPACES
33
FRACTAL DIMENSION OF A QUANTUM PATH
89
THE FRACTAL STRUCTURE OF QUANTUM SPACETIME
110
TOWARDS A SPECIAL THEORY OF SCALE RELATIVITY
194
PROSPECTS
283
INDEX
331
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