How the Universe Got Its Spots

Overview

Is the universe infinite, or is it just really big? Does nature abhor infinity? In startling and beautiful prose, Janna Levin's diary of unsent letters to her mother describes what we know about the shape and extent of the universe, about its beginning and its end. She grants the uninitiated access to the astounding findings of contemporary theoretical physics and makes tangible the contours of space and time--those very real curves along which apples fall and planets orbit.

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Overview

Is the universe infinite, or is it just really big? Does nature abhor infinity? In startling and beautiful prose, Janna Levin's diary of unsent letters to her mother describes what we know about the shape and extent of the universe, about its beginning and its end. She grants the uninitiated access to the astounding findings of contemporary theoretical physics and makes tangible the contours of space and time--those very real curves along which apples fall and planets orbit.

Levin guides the reader through the observations and thought-experiments that have enabled physicists to begin charting the universe. She introduces the cosmic archaeology that makes sense of the pattern of hot spots left over from the big bang, a pursuit on the verge of discovering the shape of space itself. And she explains the topology and the geometry of the universe now coming into focus--a strange map of space full of black holes, chaotic flows, time warps, and invisible strings. Levin advances the controversial idea that this map is edgeless but finite--that the universe is huge but not unending--a radical revelation that would provide the ultimate twist to the Copernican revolution by locating our precise position in the cosmos.

As she recounts our increasingly rewarding attempt to know the universe, Levin tells her personal story as a scientist isolated by her growing knowledge. This book is her remarkable effort to reach across the distance of that knowledge and share what she knows with family and friends--and with us. Highly personal and utterly original, this physicist's diary is a breathtaking contemplation of our deep connection with the universe and our aspirations to comprehend it.

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Editorial Reviews

From Barnes & Noble
In a series of unsent letters to her mother, a theoretical physicist meditates on her life, examining how her work and her personal life both mesh with and obstruct each other. Taking a highly original approach to science writing, Levin reveals herself and her controversial new theory on the shape of the universe.
John Lanchester
The focus of her work is the shape of the universe. This is unfinished business left over from Einstein's General Theory of Relativity, which describes the mechanism by which space is curved, but does not tell us what shape it is curved into. Levin doesn't claim to have the answer, but she does think that recent work in the field of topography has powerful suggestions about what the answer might be. She also thinks that the universe is finite, a minority view among physicists, and one whose implications she teases out with suggestiveness and skill.
Daily Telegraph
Astronomy Magazine
But once Levin arrives at her heart's theme - the shape of the universe and how we might soon measure it - the descriptions become models of enthusiasm and clarity. Juxtaposed to this element of public exposition is that of private confessional, whose alternative title could have been "The Loneliness of the Long-Distance Thinker."
Alejandro Gangui
Mixing lucid arguments with anecdotes and personal experiences, Levin makes it easy to understand seemingly complicated subjects such as transfinite arithmetic, naked singularities and compact spaces. She speaks of cosmic cacophony, Giacometti sculptures and intergalactic origami. Her descriptions allow the reader to hear the shape of a drum and to understand the struggles of cosmologists to see the shape of the universe.
American Scientist
New Yorker
If the universe is infinite, then its possibilities are infinite as well. But in How the Universe Got Its Spots the astrophysicist Janna Levin insists that infinity works as a hypothetical concept only, and that it is not found in nature. "Tormented," Levin writes of those who ponder the largest questions of existence, and she wonders whether such mental strain causes madness. The Pythagoreans drowned wayward members. Newton stabbed himself in the eye with a tiny dagger while staring at the sun. And Levin herself tries to grasp the finer points of astrophysics as she struggles with her relationship with a musician boyfriend whose temperament does not always match her own. Knowledge can bring alienation, but comfort and connection, too. She writes, "We often understand math when plain English simply isn't as useful."

When Alexander the Great met the Celts on the banks of the Danube in the fourth century B.C., he asked their chieftains what frightened them most. "We fear only that the sky will fall on our heads," Marcelo Gleiser relates in The Prophet and the Astronomer . Gleiser's book is a careful amalgam of philosophy, physics, and astronomy, tracing our contemplation of the cosmos from the big bang to the big crunch. "Time," Gleiser writes, "is the absence of perfection," and mortality creates a desire for knowledge. The search for answers to unknowable questions places the prophet and the physicist on the same side. Both Levin and Gleiser credit Einstein for his help in reframing our relationship to the sky: he theorized that space is curved, because time and space conform to accommodate the constant of the speed of light. As such, as long as time allows, we are drawn toward illumination. (Lauren Porcaro)

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Product Details

  • ISBN-13: 9781441731753
  • Publisher: Blackstone Audio, Inc.
  • Publication date: 5/28/2010
  • Pages: 1

Read an Excerpt

COPYRIGHT NOTICE: Published by Princeton University Press and copyrighted, © 2002, by Janna Levin. All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher, except for reading and browsing via the World Wide Web. Users are not permitted to mount this file on any network servers.

Chapter 1

IS THE UNIVERSE INFINITE OR IS IT JUST REALLY BIG?

Some of the great mathematicians killed themselves. The lore is that their theories drove them mad, though I suspect they were just lonely, isolated by what they knew. Sometimes I feel the isolation. I'd like to describe what I can see from here, so you can look with me and ease the solitude, but I never feel like giving rousing speeches about billions of stars and the glory of the cosmos. When I can, I like to forget about maths and grants and science and journals and research and heroes.

Boltzmann is the one I remember most and his student Ehrenfest. Over a century ago the Viennese-born mathematician Ludwig Boltzmann (1844-1906) invented statistical mechanics, a powerful description of atomic behaviour based on probabilities. Opposition to his ideas was harsh and his moods were volatile. Despondent, fearing disintegration of his theories, he hanged himself in 1906. It wasn't his first suicide attempt, but it was his most successful. Paul Eherenfest (1880-1933) killed himself nearly thirty years later. I looked at their photos today and searched their eyes fordepression and desperation. I didn't see them written there.

My curiosity about the madness of some mathematicians is morbid but harmless. I wonder if alienation and brushes with insanity are occupational hazards. The first mathematician we remember encouraged seclusion. The mysterious Greek visionary Pythagoras (about 569 BC-about 475 BC) led a secretive, devout society fixated on numbers and triangles. His social order prospered in Italy millennia before labour would divide philosophy from science, mathematics from music. The Pythagoreans believed in the mystical meaning of numbers and developed a religion tending towards occult numerology. Their faith in the sanctity of numbers was shaken by their own perplexing mathematical discoveries. A Pythagorean who broke his vow of secrecy and exposed the enigma of numbers that the group had uncovered was drowned for his sins. Pythagoras killed himself too. Persecution may have incited his suicide, from what little we know of a mostly lost history.

When I tell the stories of their suicide and mental illness, people always wonder if their fragility came from the nature of the knowledge -the knowledge of nature. I think rather that they went mad from rejection. Their mathematical obsessions were all-encompassing and yet ethereal. They needed their colleagues beyond needing their approval. To be spurned by their peers meant death of their ideas. They needed to encrypt the meaning in others' thoughts and be assured their ideas would be perpetuated.

I can only write about those we've recorded and celebrated, if posthumously. Some great geniuses will be forgotten because their work will be forgotten. A bunch of trees falling in a forest fearing they make no sound. Most of us feel the need to implant our ideas at the very least in others' memories so they don't expire when our own memories become inadequate. No one wants to be the tree falling in the forest. But we all risk the obscurity ushered by forgetfulness and indifference.

I admit I'm afraid sometimes that no one is listening. Many of our scientific publications, sometimes too formal or too obscure, are read by only a handful of people. I'm also guilty of a self-imposed separation. I know I've locked you out of my scientific life and it's where I spend most of my time. I know you don't want to be lectured with disciplined lessons on science. But I think you would want a sketch of the cosmos and our place in it. Do you want to know what I know? You're my last hope. I'm writing to you because I know you're curious but afraid to ask. Consider this a kind of diary from my social exile as a roaming scientist. An offering of little pieces of the little piece I have to offer.

I will make amends, start small, and answer a question you once asked me but I never answered. You asked me once: what's a universe? Or did you ask me: is a galaxy a universe? The great German philosopher and alleged obsessive Immanuel Kant (1724-1804) called them universes. All he could see of them were these smudges in the sky. I don't really know what he meant by calling them universes exactly, but it does conjure up an image of something vast and grand, and in spirit he was right. They are vast and grand, bright and brilliant, viciously crowded cities of stars. But universes they are not. They live in a universe, the same one as us. They go on galaxy after galaxy endlessly. Or do they? Is it endless? And here my troubles begin. This is my question. Is the universe infinite? And if the universe is finite, how can we make sense of a finite universe? When you asked me the question I thought I knew the answer: the universe is the whole thing. I'm only now beginning to realize the significance of the answer.

3 SEPTEMBER 1998

Warren keeps telling everyone we're going back to England, though, as you know, I never came from England. The decision is made. We're leaving California for England. Do I recount the move itself, the motivation, the decision? It doesn't matter why we moved, because the memory of why is paling with the wear. I do remember the yard sales on the steps of our place in San Francisco. All of my coveted stuff. My funny vinyl chairs and chrome tables, my wooden benches and chests of drawers. It's all gone. We sit out all day as the shade of the buildings is slowly invaded by the sun and we lean against the dirty steps with some reservation. Giant coffees come and go and we drink smoothies with bee pollen or super blue-green algae in homage to California as the neighbourhood parades past and my pile of stuff shifts and shrinks and slowly disappears. We roll up the cash with excitement, though it is never very much.

When it gets too cold or too dark we pack up and go back inside. I'm trying to finish a technical paper and sort through my ideas on infinity. For a long time I believed the universe was infinite. Which is to say, I just never questioned this assumption that the universe was infinite. But if I had given the question more attention, maybe I would have realized sooner. The universe is the three-dimensional space we live in and the time we watch pass on our clocks. It is our north and south, our east and west, our up and down. Our past and future. As far as the eye can see there appears to be no bound to our three spatial dimensions and we have no expectation for an end to time. The universe is inhabited by giant clusters of galaxies, each galaxy a conglomerate of a billion or a trillion stars. The Milky Way, our galaxy, has an unfathomably dense core of millions of stars with beautiful arms, a skeleton of stars, spiralling out from this core. The earth lives out in the sparsely populated arms orbiting the sun, an ordinary star, with our planetary companions. Our humble solar system. Here we are. A small planet, an ordinary star, a huge cosmos. But we're alive and we're sentient. Pooling our efforts and passing our secrets from generation to generation, we've lifted ourselves off this blue and green water-soaked rock to throw our vision far beyond the limitations of our eyes.

The universe is full of galaxies and their stars. Probably, hopefully, there is other life out there and background light and maybe some ripples in space. There are bright objects and dark objects. Things we can see and things we can't. Things we know about and things we don't. All of it. This glut of ingredients could carry on in every direction forever. Never ending. Just when you think you've seen the last of them, there's another galaxy and beyond that one another infinite number of galaxies. No infinity has ever been observed in nature. Nor is infinity tolerated in a scientific theory - except we keep assuming the universe itself is infinite.

It wouldn't be so bad if Einstein hadn't taught us better. And here the ideas collide so I'll just pour them out unfiltered. Space is not just an abstract notion but a mutable, evolving field. It can begin and end, be born and die. Space is curved, it is a geometry, and our experience of gravity, the pull of the earth and our orbit around the sun, is just a free fall along the curves in space. From this huge insight people realized the universe must be expanding. The space between the galaxies is actually stretching even if the galaxies themselves were otherwise to stay put. The universe is growing, ageing. And if it's expanding today, it must have been smaller once, in the sense that everything was once closer together, so close that everything was on top of each other, essentially in the same place, and before that it must not have been at all. The universe had a beginning. There was once nothing and now there is something. What sways me even more, if an ultimate theory of everything is found, a theory beyond Einstein's, then gravity and matter and energy are all ultimately different expressions of the same thing. We're all intrinsically of the same substance. The fabric of the universe is just a coherent weave from the same threads that make our bodies. How much more absurd it becomes to believe that the universe, space and time could possibly be infinite when all of us are finite.

So this is what I'll tell you about from beginning to end. I've squeezed down all the facts into dense paragraphs, like the preliminary squeeze of an accordion. The subsequent filled notes will be sustained in later letters. You could say this is the story of the universe's topology, the branch of mathematics that governs finite spaces and an aspect of space-time that Einstein overlooked. I don't know how this story will play itself out, but I'm curious to see how it goes. I'll try to tell you my reasons for believing the universe is finite, unpopular as they are in some scientific crowds, and why a few of us find ourselves at odds with the rest of our colleagues.

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Table of Contents

Acknowledgements vii
Preface ix
1. Is the universe infinite or is it just really big? 1
2. Infinity 5
3. Newton, 300 years and Einstein 16
4. Special relativity 23
5. General relativity 37
6. Quantum chance and choice 50
7. Death and black holes 63
8. Life and the big bang 79
9. Beyond Einstein 99
10. Adventures in Flatland and hyperspace 104
11. Topology: links, locks, loops 115
12. Through the looking glass 131
13. Wonderland in 3D 141
14. Mirrors in the sky 151
15. How the universe got its spots 162
16. The ultimate prediction 178
17. Scars of creation 185
18. The shape of things to come 194
Epilogue 199
Index 201
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