Tuesday, December 21, 2010

New book by Laurent Nottale coming Spring 2011

SCALE RELATIVITY AND FRACTAL SPACE-TIME
A New Approach to Unifying Relativity and Quantum Mechanics
by Laurent Nottale (Paris-Meudon Observatory, France)

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
  • Structure of the 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 Physics
  • Applications to Elementary Particles
  • Applications to Cosmology
  • Applications to Gravitational Structuring
  • Applications to Life and Other Sciences


Readership: Academics, post-graduates and professionals interested in astrophysics and cosmology.

750pp (approx.)
Pub. date: Scheduled Spring 2011
ISBN: 978-1-84816-650-91-84816-650-8
US$170 / £105




Thanks to the reader who pointed this out.

I maintain that there has been some sort of rivalry or precedence disagreement between El Naschie and Nottale. This is hinted at in a French PDF: Vincent Bontems et Yves Gingras. De la science normale à la science marginale. Analyse d'une bifurcation de trajectoire scientifique : le cas de la Théorie de la Relativité d'Échelle. Nottale is conspicuous by his absence from the shadowy brotherhood. And now we see that the table of contents in Nottale's new book does not have sections on El Naschie or E-infinity. [Update. A note concerning Nottale's relationship with El Naschie. It appears that the rivalry was, after all, not sufficient to keep Nottale out of the E-infinity group after all.]


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4 comments:

  1. Hi Jason,

    It was Ref.[3] in my latest paper at

    http://www.prespacetime.com/index.php/pst/article/viewFile/124/124

    I referenced the book with a publication date of 2010, but they must be running behind schedule...

    Have Fun!

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  2. ... rivalry or precedence disagreement between El Naschie and Nottale

    They were still OK in last photo here (1998):
    http://elnaschiewatch.blogspot.com/2010/09/el-naschies-house-in-surrey-has-been.html

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  3. Yes, they were, I know. I have the impression from pages 630 to 634 of Gingras and Bontems that Nottale was the one who ended the relationship. He did not want his work smeared with El Naschie's "fractal Cantorian spacetime" or "E-infinity" labels. He regarded his own crackpottery as different and better. See From normal science to marginal science for an English translation.

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