The Number of the Heavens THE N U M B E R OF THE H E A V E N S A History of the Multiverse and the Quest to Understand the Cosmos TOM SIEGFRIED Cambridge, Massachusetts London, England 2019 Copyright © 2019 by the President and Fellows of Harvard College All rights reserved Printed in the United States of Amer ic a Cover design: Tim Jones Cover art: MirageC/Getty Images 9780674243385 (EPUB) 9780674243392 (MOBI) 9780674243378 (PDF) Library of Congress Cataloging-in-Publication Data is available from loc.gov ISBN: 978-0-674-97588-0 (alk. paper) Contents Preface vii Introduction 1 1 • Out of Chaos, a Multiverse 8 2 • Robert Grosseteste’s Multiverse 29 3 • Aristotle versus the Atomists 47 4 • The Condemnation of 1277 62 5 • Condemnation Aftermath 78 6 • Cusa and Copernicus 97 7 • Wandering in Immensity 113 8 • Planets and P eople 132 9 • Island Universes 150 10 • E Pluribus Universe 166 11 • Many Quantum Worlds 185 12 • Anthropic Cosmology 208 vi | Contents 13 • Brane Worlds 229 14 • Defining the Multiverse 247 Epilogue 270 Notes 285 Illustration Credits 317 Index 319 Preface After his conquest of most of the known world, Alexander the Great wept, legend has it, because there were no more worlds to conquer. But actually, as the black-h atted villain played by Ed Harris informed us in season two of Westworld, Alexander cried when told that there was an infinity of worlds—a nd he h adn’t yet finished conquering one of them. The popu lar, erroneous story of Alexander’s sorrow is a mis- quotation of the Greek- Roman scholar and biographer Plutarch. He reported that the existence of a multiplicity of worlds was re- vealed to Alexander by the phi los op her Anaxarchus, a follower of Democritus, the phi los o pher of the fifth century BC who taught that every thing is made of atoms. Democritus also believed that the known cosmos—believed in Alexander’s time to be a set of spheres carry ing planets and stars around the Earth— was just one of countless many. Anaxarchus contradicted Alexander’s e arlier teacher, Aristotle, who argued with Vulcan-l ike assuredness that logic prohibited the existence of multiple worlds. In the view of most ancient and early medieval phil os o phers, Aristotle won the argument. But following an edict contradicting Aristotle, issued by the bishop of Paris in 1277, medieval phil os o- phers revisited the possibility of a plurality of worlds. Scholars continued to debate that proposition over the centuries that fol- lowed. The debate never died, but its terms continually shifted as scientists revised their notion of what constitutes the “world,” or the universe. From the sun- centered solar system described by Copernicus, to the vast “universe” of stars known as the Milky