NOT EVEN WRONG Tells a Fascinating and Complex Story About Human

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NOT EVEN WRONG Tells a Fascinating and Complex Story About Human NOT EVEN WRONG tells a fascinating and complex story about human beings and their attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamental level? The story begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. But, despite its successes, the Standard Model left a number of key questions unanswered and physicists therefore continued in their attempt to find a powerful, all-encompassing theory. Now, more than twenty years after coming onto the scene, and despite a total lack of any success in going beyond the Standard Model, it is superstring theory that dominates particle physics. How this extraordinary situation has come about is a central concern of this book. As Peter Woit explains, the term 'superstring theory' really refers not to a well-defined theory, but to unrealised hopes that one might exist. As a result, this is a 'theory' that makes no predictions, not even wrong ones, and this very lack of falsifiability has allowed it not only to survive but to flourish. The absence of experimental evidence is at the core of this controversial situation in physics - a situation made worse by a refusal to challenge conventional thinking and an unwillingness to evaluate honestly the arguments both for and against string theory. To date, only the arguments of the theory's advocates have received much publicity. NOT EVEN WRONG will provide readers with another side of this story, allowing them to decide for themselves where the truths of the matter may lie and to follow an important and compelling story as it continues to unfold. \ NOT EVEN WRONG IS AN AUTHORITATIVE AND WELL REASONED ACCOUNT OF STRING THEORY'S EXTREMELY FASHIONABLE STATUS AMONG TODAY'S THEORETICAL PHYSICISTS. THE HOLD THAT STRING THEORY HAS, WORLD­ PETER WOIT is a physicist and mathematician. WIDE, ON TODAY'S CUTTING-EDGE RESEARCH INTO THE FUNDAMENTAL He graduated in 1979 from Harvard University with LAWS OF THE UNIVERSE IS VERY REMARKABLE, CONSIDERING THE LACK OF bachelor's and master's degrees in physics and went ANY OBSERVATIONAL SUPPORT FOR THIS BODY OF IDEAS. WOIT SUPPLIES on to be awarded his PhD in theoretical physics from Princeton University. He was a postdoc at the Institute THE FIRST THOROUGH AND DETAILED ANALYSIS AIMED AT EXPLAINING THIS for Theoretical Physics at Stony Brook and at the EXTRAORDINARY PHENOMENON. I FOUND IT COMPULSIVE READING, AND Mathematical Sciences Research Institute at Berkeley. I REGARD IT AS AN IMPORTANT BOOK.' He is now a lecturer in the mathematics department ROGER PENROSE, AUTHOR OF THE ROAD TO REALITY at Columbia University, New York, where he has been since 1989, recently teaching graduate courses in THIS IS A COURAGEOUS AND NECESSARY BOOK THAT SHOULD SPARK A quantum field theory, representation theory, and differential geometry. DEBATE ABOUT THE FUTURE OF THEORETICAL PHYSICS.' LEE SMOLIN, AUTHOR OF THE LIFE OF THE COSMOS POPULAR SCIENCE' ISBN 0-224-07605-1 JONATHAN CAPE JACKET: AN ARTISTICALLY ENHANCED PICTURE OF RANDOM HOUSE PARTICLE TRACKS IN THE BEBC, BIG EUROPEAN BUBBLE CHAMBER. (COURTESY: CERN) 20 VAUXHALL BRIDGE ROAD 9 '7 8 0 2 2 4"0 760 50 I OMnOM SW1V 9<5A Not Even Wrong The Failure of String Theory and the Continuing Challenge to Unify the Laws of Physics Peter Woit JONATHAN CAPE LONDON Published by Jonathan Cape 2006 2468 10 9 75 3 1 Copyright © Peter Woit 2006 Peter Woit has asserted his right under the Copyright, Designs and Patents Act 1988 to be identified as the author of this work This book is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, resold, hired out, or otherwise circulated without the publisher's prior consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser First published in Great Britain in 2006 by JONATHAN CAPE Random House, 20 Vauxhall Bridge Road, London SW1V 2SA Random House Australia (Pty) Limited 20 Alfred Street, Milsons Point, Sydney, New South Wales 2061, Australia Random House New Zealand Limited 18 Poland Road, Glenfield, Auckland 10, New Zealand Random House South Africa (Pty) Limited Isle of Houghton, Corner of Boundary Road & Carse O'Gowrie, Houghton 2198, South Africa The Random House Group Limited Reg. No. 954009 www.randomhouse.co.uk A CIP catalogue record for this book is available from the British Library ISBN 9780224076050 (from January 2007) ISBN 0224076051 Papers used by Random House are natural, recyclable products made from wood grown in sustainable forests; the manufacturing processes conform to the environmental regulations of the country of origin. Typeset by Palimpsest Book Production Limited, Polmont, Stirlingshire Printed and bound in Great Britain by William Clowes Ltd, Beccles, Suffolk For Ellen Contents Acknowledgements xi Introduction 1 About this book 8 1. Particle Physics at the Turn of the Millennium 10 2. The Instruments of Production 14 Basic principles 14 Experimental particle physics, a quick history 18 Current accelerators 28 Accelerators: future prospects 31 Further reading 36 3. Quantum Theory 38 Quantum theory and its history 39 Further reading 56 4. Quantum Field Theory 58 Further reading 66 5. Gauge Symmetry and Gauge Theories 67 Further reading 74 6. The Standard Model 75 vii Not Even Wrong The standard model: electro-weak interactions 76 The standard model: strong interactions 83 Further reading 91 7. Triumph of the Standard Model 92 Further reading 97 8. Problems of the Standard Model 98 9. Beyond the Standard Model 102 Grand unified theories 102 Technicolour 104 Supersymmetry and supergravity 107 10. New Insights in Quantum Field Theory and Mathematics 113 Edward Witten 113 Instantons in Yang-Mills theory and in mathematics 116 Lattice gauge theory 120 Large N 122 Two-dimensional quantum field theories 124 Anomalies and quantum mechanical symmetry breaking 129 Topological quantum field theory 132 Further reading 145 11. String Theory: History 146 S-matrix theory 146 The first string theories 153 The first superstring theory revolution 156 The second superstring theory revolution 161 Recent trends 163 Further reading 166 12. String Theory and Supersymmetry: An Evaluation 167 Supersymmetry 168 Superstring theory 179 String theory, supersymmetry and mathematics 193 viii Contents 13. On Beauty and Difficulty 198 14. Is Superstring Theory Science? 208 15. The Bogdanov Affair 217 16. The Only Game in Town: The Power and the Glory of String Theory 224 17. The Landscape of String Theory 240 18. Other Points of View 250 19. Conclusion 258 Notes 268 Index 275 ix Acknowledgements y knowledge about the topics discussed in this book is the prod­ Muct of many years spent in both the mathematics and physics communities, and I've benefited over this time from conversations on these topics with a large number of mathematicians and physicists. By now this number is so large that I'm afraid I'm only able to remem­ ber and thank those who have been of help during the last few years while I've been writing this book and seeing it through to publication. Of important assistance have been string theorists and other string- friendly physicists who have been willing to share their expertise with me as part of discussions about string theory in various inter­ net venues. I've learned a great deal from these discussions, so even though many of them are not likely to be very happy with this book, their efforts have made it a much better one than would otherwise have been possible. For help of this kind, I'd like specifically to thank Aaron Bergman, Sean Carroll, Jacques Distler, Robert Helling, Clifford V. Johnson, Lubos Motl, Moshe Rozali and Urs Schreiber. During the past few years I've been grateful to the many people who have contacted me, sometimes anonymously, with expressions of support and enthusiasm, often together with an interesting story of one sort or another. Finding out that my concerns about the present state of particle theory are so widely shared has been an important incentive for the writing of this book. xi Not Even Wrong I'd also like to thank Roger Astley of Cambridge University Press, together with Jim Lepowsky and several anonymous referees. While publication by Cambridge ultimately didn't work out, going through the process there ultimately turned the original manuscript into a much better book. At a later stage, Binky Urban provided excellent advice about what should be done to make the book a success, much of which I fear I haven't taken. Professor Karl von Meyenn provided me with the reference indi­ cating that the attribution of the phrase 'Not Even Wrong' to Pauli is not as apocryphal as I had feared, together with useful comments about the context of the phrase and the influence of the Vienna Circle on Pauli's thinking. John Horgan has provided encouragement and advice, together with interesting discussion of his views on some of the topics treated here. Among friends and supporters who have listened to me go on far too long about string theory and some of the other subjects treated here, I'd like especially to thank Oisin McGuinness, Nathan Myhrvold, Peter Orland and Eric Weinstein, as well as my Columbia colleagues Bob Friedman, John Morgan, D.H. Phong and Michael Thaddeus, whose interest and support have been invaluable. It has been an honour to have the opportunity to discuss in person or via e-mail some of the issues treated here with some truly great mathematicians and physicists, all of whom have provided helpful advice.
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