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FEARFUL SYMMETRY

FEARFUL SYMMETRY The Search for Beauty in Modern Physics

With a new foreword by Roger Penrose

A.Zee

PRINCETON UNIVERSITY PRESS Princeton and Oxford Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540

The poem “Cosmic Gall” by John Updike (on page 37), Copyright © 1960 by John Updike, is reprinted from Telephone Poles and Other Poems by John Updike, by permission of Alfred A. Knopf, Inc. The poem originally appeared in The New Yorker.

The excerpts from Jim Murray’s column in the Angeles Times (on page 88) is reprinted with the kind permission of the Los Angeles Times Syndicate. All rights reserved.

The lyrics form, “As Time Goes By” by Herman Hupfeld (on page 278), © 1931 (renewed) Warner Bros., Inc. All rights reserved. Used by permission.

Copyright © 1986 by Anthony Zee Preface and Afterword © 1999 Princeton University Press Foreword © 2007 Princeton University Press

All Rights Reserved

First published by Macmillan Publishing Company, 1986 First Princeton edition, for the Princeton Science Library, 1999 Reprinted, with a new foreword, 2007 ISBN-13: 978-0-691-13482-6

The Library of Congress has cataloged the first Princeton edition as follows

Zee, A. Fearful symmetry : the search for beauty in modern physics / A. Zee. p. cm. With a new preface and afterword. Originally published: New York : Macmillan Pub. Co., 1986 Includes bibliographical references and index. ISBN 0-691-00946-5 (pb. : alk. paper) 1. Symmetry (Physics) 2. Physics—Philosophy. 3. Renormalization (Physics) I. Title. QC174.17.S9Z4 1999 530.1—dc21 99–44882

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Printed in the United States of America

10 9 8 7 6 5 To Gretcften

Tyger! Tyger! burning bright In the forests of the , What immortal hand or eye Could frame thy fearful symmetry?

- William (From Poems ofWiIliam Blake, edited by W. B. Yeats. London: G. Routledge & Sons. 1905.)