Description

Book Synopsis
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.

Table of Contents
General introduction; from fractal objects to fractal spaces; fractal dimension of a quantum path; the fractal structure of the quantum space-time; towards a linear theory of scale relativity; prospects.

Fractal Space-time And Microphysics: Towards A

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    A Hardback by Laurent Nottale

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      View other formats and editions of Fractal Space-time And Microphysics: Towards A by Laurent Nottale

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 01/04/1993
      ISBN13: 9789810208783, 978-9810208783
      ISBN10: 9810208782

      Description

      Book Synopsis
      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.

      Table of Contents
      General introduction; from fractal objects to fractal spaces; fractal dimension of a quantum path; the fractal structure of the quantum space-time; towards a linear theory of scale relativity; prospects.

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