In memory of my grandparents Ignacy and Leonia Falk Moshe Raviv and Dr. Rosalie Shein That great mystery of TIME, were there no other; the illimitable, silent, never-resting thing called Time, rolling, rushing on, swift, silent, like an all-embracing ocean tide, on which we and all the Universe swim like exhalations, like apparitions which are, and then are not: this is forever very literally a miracle; a thing to strike us dumb, – for we have no word to speak about it. – Thomas Carlyle, Heroes and Hero Worship (1840) Contents Preface Introduction 01 HEAVENLY CLOCKWORK Time’s natural cycles 02 YEARS, MONTHS, DAYS The quest for the perfect calendar 03 HOURS, MINUTES, SECONDS Dissecting the day 04 IN TIME’S GRASP Time and culture 05 THE PERSISTENCE OF MEMORY A bridge across time 06 ISAAC’S TIME Newton, Leibniz, and the arrow of time 07 ALBERT’S TIME Spacetime, relativity, and quantum theory 08 BACK TO THE FUTURE The science of time travel 09 IN THE BEGINNING The search for the dawn of time 10 BEYOND THE BIG BANG The frontiers of physics and the origin of time’s arrow 11 ALL THINGS MUST PASS The ultimate fate of life, the universe, and everything 12 ILLUSION AND REALITY Physics, philosophy, and the landscape of time Notes Bibliography PREFACE “You’re writing a book about what?” Tell people you’re working on a book about time, and you get some interesting reactions. Some look confused, or give a dismissive shrug – “What about time,” they ask, as though there could hardly be enough interesting things to say about it to fill an entire book. (“Doesn’t it just sort of tick by?”) Others seem to understand the appeal right away, and wonder about particular topics. “Will you talk about time travel?” Yes, I affirm – it gets a whole chapter to itself. (Even if time travel is impossible, I tell them, it raises fascinating questions about the nature of time, space, and the laws of nature.) Some people guess that I must be writing a “physics book” – highly technical, with much talk of entropy and world lines and such. Not so, I assure them. Or at least not “just” a physics book. My goal is to take a broader approach, tackling the enigma of time from several different directions, each with its own perspective and insights – and its own track record of successes and frustrations. In fact, one has to approach time from many such angles, because no one discipline has “the answer.” That fact was apparent whenever I glanced at the books that line the shelves in my apartment. (There would, of course, be many trips to many libraries, but one of the joys of building up a decent home collection is that quite a good chunk of research can be done before one even braves the elements.) My first couple of shelves cover the history and philosophy of science: this is where I reach for classics like Bronowski and Boorstin and Gamow, a cluster of Carl Sagan titles, and more recent works by Timothy Ferris and Dennis Danielson, to name a few. Beneath that, the scientific biographies: Drake and Sobel on Galileo; Westfall and Gleick on Newton; Pais, Fölsing, and Isaacson on Einstein; and other more narrowly focused titles on the theories crafted by those great minds. Under that, a shelf of modern physics and cosmology titles: Hawking, Weinberg, Greene, Davies, Rees, Krauss, and others. On the next shelf, books on evolution and the nature of the human animal: Diamond, Tattersall, Dawkins, Hauser. Below that, books on consciousness and the mind: Pinker, Penrose, Dennett, Crick, Damasio, Edelman. Not to mention some very thorough books on clocks, calendars, and timekeeping: Whitrow, Aveni, Landes, Duncan, Steel. And time – well, time reaches across all of those fields. In fact, one of the challenges is that each of these disciplines is to some degree intertwined with each of the others. Interconnectedness is fine if you’re building a spider web, but it can actually hamper the writing of a book, which demands a single flowing narrative – a story. To tell that story, I’ve had to be selective. Where there was a choice between more science and more philosophy, the science usually won out – not because the philosophy is uninteresting, but merely because I found it to have less power to advance the story. (“What, no Heidegger? No Bergson?” Sadly, no; we will have to make do with Plato, Aristotle, Leibniz, McTaggart, and a handful of other key players.) Even within the sciences, there is far too much current research to assess in a single volume; indeed, each of my twelve chapters could easily have been a book in its own right, for an author so inclined. For those who do wish to probe deeper, I hope that detailed notes and a full bibliography of sources will aid in further reading. In the text itself, I have tried to make my selections as carefully as possible, giving the most attention to those areas where science has made the most tangible advances in recent years. Research begins with books and journals and libraries, but it does not end there: over the last few years, it has been my great privilege to meet with some of the deepest thinkers of our time, in some cases for multiple interviews. “It will only take an hour,” I would tell them, knowing full well that it would run much longer – and most of them generously allowed me to keep asking away, microphone in hand. I am especially grateful to Roger Penrose, Julian Barbour, David Deutsch, Lee Smolin, and Paul Davies; their grasp of some of the most difficult problems in all of science is truly inspiring. Many more scholars sat down with me and patiently described their research; others guided me through laboratories, museum exhibits, and archeological sites. They are named in the chapters ahead, and I am indebted to them all. (Most of these interviews were conducted specifically for the present book, but I have also occasionally drawn on research for various earlier projects, including several documentaries that I made for the CBC Radio program Ideas.) A number of people generously looked over portions of the manuscript at various stages; Ivan Semeniuk, George Musser, and Natalie Munro made especially valuable comments, while Elizabeth Howell was kind enough to read the entire text. (Of course, any errors that remain are my responsibility alone.) I also benefited greatly from discussions with James Robert Brown, Glenn Starkman, and Eugenie Scott. The idea of writing a book about time had been in the back of my mind since the completion of my first book, Universe on a T-Shirt: The Quest for the Theory of Everything (2002). This book is by no means a sequel; the subject matter is, in general, quite different. But certain key topics – special relativity, for example – do come up again; on occasion, I refer the reader to more detailed explanations in the earlier book. This project would not have come to fruition without the help of my agents, Don Sedgwick and Shaun Bradley of the Transatlantic Literary Agency, and especially the tireless work of my editor, Jenny Bradshaw at McClelland & Stewart, who helped hone the manuscript into its finished form. I am also grateful to Stephanie Fysh for her copy editing skills. Where measurements crop up, I have once again primarily used metric units; I trust that my U.S. readers will not have too much trouble with meters, kilometers, and the like. On the other hand, I have used American spellings, which I hope will not alienate my Canadian audience. Readers’ comments are welcome; I can be reached through my website at www.danfalk.ca. INTRODUCTION If we are aware of anything we are aware of the passage of time. – J.R. Lucas, A Treatise on Time and Space Time passes. Listen. Time passes. – Dylan Thomas, “Under Milk Wood” ’ve completely solved the problem,” a young Albert Einstein said excitedly to “I his friend Michele Besso in May of 1905. “My solution was to analyze the concept of time.” Besso, a colleague of Einstein’s at the patent office in Bern, Switzerland, was the first to be let in on the secret. A month later, the whole world would know. (Or at least, those who read the Annalen der Physik on a regular basis. Another fourteen years would pass before the scientist would become a household name.) Einstein’s groundbreaking paper, the result of ten years of intense study and ingenious “thought experiments,” was an attempt to reconcile Maxwell’s theory of electromagnetism with long-established ideas about relative motion dating back to Galileo. It was an urgent problem that had stumped the brightest minds of the day. The paper appeared under the innocuous title “On the Electrodynamics of Moving Bodies” – and it changed everything. Suddenly time was flexible, like rubber. Space and time were intimately linked. And simple words like “now” seemed to lose their meaning entirely. Einstein’s paper was shocking precisely because time is – or was supposed to be – so simple. It still seems simple, more than a hundred years after Einstein’s breakthrough. Time, after all, surrounds us. It envelops and defines our world; it echoes through our every waking hour. Time is the very foundation of conscious experience. Above all, time flows – or appears to flow. A river is the favorite metaphor; we imagine time as a relentless stream, bringing the future toward us and carrying past events off behind us. Equivalently, we can imagine time as a fixed landscape, with ourselves sailing through it. A more modern metaphor is the movie projector: events can be likened to frames of film, each illuminated ever so briefly in the light of an instantaneous “now,” after which they recede into the past. Future events – later frames – rush toward the lens, each to experience its own brief “now” in due course. By either metaphor, time appears to flow in just one direction, leading from the fixed events of the past toward an unknown future. It is unrelenting. No sooner have we uttered the word “now” than another “now” has taken its place. That previous “now” is lost to the past, gone forever. We cannot change the events of five seconds ago any more than we can revisit the Battle of Hastings. The future, for its part, is hurtling toward us, unstoppable. We may be unsure of what it will bring – but of its arrival there can be no doubt. If these statements seem obvious, perhaps even juvenile, it is a reflection of just how deeply ingrained such feelings are. Young children quickly learn the meaning of words like “yesterday,” “today,” and “tomorrow”; of “past,” “present,” and “future.” We think of time as a commodity: we try to save time; we hate to waste time; we say we’ll make time for some favorite activity. When we need to catch our breath, we call a time-out. We say that time flies when we’re having fun and slows to a crawl at the dentist’s office – but deep down we know better. We trust the keeping of “true” time to our clocks, which, in a world peppered with semiconductor-laden gadgets, are more ubiquitous than ever. Yet we also suspect that time would go by just as relentlessly even if no clocks were around to mark its passing. As Aristotle remarked some 2,300 years ago, “Even when it is dark, and we are not being affected through the body, if any process goes on in the mind, immediately we think that some time has elapsed too.” Isaac Newton suspected that time would flow just the same even if nothing were around to mark its passing – but, as we will see, Newton does not have the last word on such matters. Nor, for that matter, does Einstein: the problem that he “completely solved” in 1905 was just one of time’s many mysteries. Time has not yet given up all its secrets. The great paradox of time is that it is at once intimately familiar and yet deeply mysterious: nothing is more central and yet so remote. To be human is to be aware of the passage of time; no concept lies closer to the core of our consciousness. Yet who can say just what time is? It is thoroughly intangible. We cannot see, hear, smell, taste, or touch it. Yet we do feel it. Or at least we think we feel it. This, as we shall see, is not just wordplay: scientists and philosophers continue to debate just what we mean when we utter a simple phrase like “time passes.” Time is linked to change. At one time, we observe this; at a later time, we observe that; and we associate that change with time’s passing. No wonder that time is sometimes defined as “nature’s way of keeping everything from happening at once.” And yet to equate time with change seems to be missing something. The passage of time seems, somehow, to be more fundamental. No wonder poets, writers, philosophers, and