Fluctuations, Information, Gravity and the Quantum Potential (Fundamental Theories of Physics) (R.W. Carroll) 1402040032.pdf

Fluctuations, Information, Gravity and the Quantum Potential
Fundamental Theories of Physics
An International Book Series on The Fundamental Theories of Physics:
Their Clarification, Development and Application
Editor:
ALWYN VAN DER MERWE, University of Denver, .
Editorial Advisory Board:
GIANCARLO GHIRARDI, University of Trieste, Italy
LAWRENCE P. HORWITZ, Tel-Aviv University, Israel
BRIAN D. JOSEPHSON, University of Cambridge, .
CLIVE KILMISTER, University of London, .
PEKKA J. LAHTI, University of Turku, Finland
ASHER PERES, Israel Institute of Technology, Israel
EDUARD PRUGOVECKI, University of Toronto, Canada
FRANCO SELLERI, Università di Bara, Italy
TONY SUDBERY, University of York, .
HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der
Wissenschaften, Germany
Volume 148
Fluctuations, Information,
Gravity and the Quantum
Potential
by
. Carroll
University of Illinois, Urbana, IL, .
A . Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-4003-2 (HB)
ISBN-13 978-1-4020-4003-0 (HB)
ISBN-10 1-4020-4025-3 (e-book)
ISBN-13 978-1-4020-4025-2 (e-book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Printed on acid-free paper
All Rights Reserved
© 2006 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming, recording
or otherwise, without written permission from the Publisher, with the exception
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and executed on puter system, for exclusive use by the purchaser of the work.
Printed in herlands.
Contents
Preface ix
1. THE SCHRODINGER¨ EQUATION 1
1. Diffusion and Stochastic Processes 1
2. Scale Relativity 14
3. Remarks on Fractal Spacetime 22
. Comments on Cantor Sets 23
. Comments on Hydrodynamics 27
4. Remarks on Fractal Calcul