The Constants of Nature

Acclaim for John D. Barrow and

THE CONSTANTS OF NATURE

“Barrow's efforts to relate scientific developments to wider cultural themes must be applauded.”

—Los Angeles Times Book Review

“Even when the science gets really difficult, Barrow explains it with great clarity, a lovely lightness of touch and enormous erudition.”

—The Spectator

“Barrow is possessed of a polymathic mind that swoops and soars…. [He] pours this vintage wine out of a Klein bottle of imagination and whimsy, which makes the reader's effort worthwhile.”

—The Washington Post

“Barrow… writes with liveliness and in a clear-headed, imaginative way…. He is…a master of his art.”

—The Decatur Daily

“Fascinating… with profound meanings as well as delightful humor.”

—Science Books & Films

“A scholarly though always accessible account…. For even the most complex of ideas, the author takes a breath to explain such matters as the Planck barrier and the laws of thermodynamics…. A satisfying excursion.”

—Kirkus Reviews

“Lively…. Raises important philosophical and even religious questions… [in] erudite but lucid prose. His account makes some of the most challenging frontiers of science accessible, even enthralling, to laypeople.”

—Publishers Weekly

“[Barrow] is a front-rank researcher whose recent investigation of quasars implies that one physical value (the fine structure constant) has strengthened since the formation of the early universe. A crystalline exploration of the constants, extra dimensions, and the fate of the universe…an exemplary popular presentation of high-level science.”

—Booklist

“[Barrow] explains how our assumptions about the constancy of the universe's physical parameters turn out to be wrong, [and he] takes us on a tour of what might be possible, given different assumptions about how everything works…. It's mysteries like these that make the book such a good read.”

—Focus (UK)

John D . Barrow

THE CONSTANTS OF NATURE

John D. Barrow is professor of mathematical sciences at the University of Cambridge. His previous books include The Book of Nothing, Theories of Everything, The Artful Universe, Between Inner Space and Outer Space, The Universe That Discovered Itself, and The Origin of the Universe. He lives in England.

ALSO BY JOHN D. BARROW

Theories of Everything

The Left Hand of Creation
(with Joseph Silk)

L'Homme et le Cosmos
(with Frank J. Tipler)

The Anthropic Cosmological Principle
(with Frank J. Tipler)

The World Within the World

The Artful Universe

Pi in the Sky

Perché il mondo è matematico?

Impossibility

The Origin of the Universe

Between Inner Space and Outer Space

The Universe That Discovered Itself

The Book of Nothing

To Carol

‘Not the power to remember, but its very
opposite, the power to forget is a necessary
condition for our existence.’

Sholem Ash

    Contents

Preface

1   Before the Beginning

Sameliness

2   Journey Towards Ultimate Reality

Mission to Mars

Measure for measure – parochial standards

Maintaining universal standards

A brilliant idea!

Max Planck's natural units

Planck gets real

About time

3   Superhuman Standards

Einstein on constants

The deeper significance of Stoney-Planck units: the new Mappa Mundi

Otherworldliness

The super-Copernican Principle

4   Further, Deeper, Fewer: The Quest for a Theory of Everything

Numbers you can count on

Cosmic Cubism

New constants involve new labour

Numerology

5   Eddington's Unfinished Symphony

Counting to 15,747,724,136,275,002,577,605,653,961,181,555,468,044,717,914,527,116,709,366,231,425,076,185,631,031,296

Fundamentalism

Theatrical physics

6   The Mystery of the Very Large Numbers

Spooky numbers

A bold hypothesis

Of things to come at large

Big and old, dark and cold

The biggest number of all

7   Biology and the Stars

Is the universe old?

The chance of a lifetime

Other types of life

Prepare to meet thy doom

From coincidence to consequence

Life in an Edwardian universe

8   The Anthropic Principle

Anthropic arguments

A delicate balance

Brandon Carter's principles

A close-run thing?

Some other anthropic principles

9   Altering Constants and Rewriting History

Rigid worlds versus flexi worlds

Inflationary universes

Virtual history – a little digression

10  New Dimensions

Living in a hundred dimensions

Walking with planisaurs

Polygons and polygamy

Why is life so easy for physicists?

The sad case of Paul Ehrenfest

The special case of Gerald Whitrow

The strange case of Theodor Kaluza and Oskar Klein

Varying constants on the brane

11  Variations on a Constant Theme

A prehistoric nuclear reactor

Alexander Shlyakhter's insight

The Clock of Ages

Underground speculations

12  Reach for the Sky

Plenty of time

Inconstancy among the constants?

What do we make of that?

Our place in history

13  Other Worlds and Big Questions

Multiverses

The Great Universal Catalogue

Worlds without end

Journey's end

Notes

Preface

Some things never change. And this is a book about those things. Long ago, the happenings that made it into histories were the irregularities of experience: the unexpected, the catastrophic, and the ominous. Gradually, scientists came to appreciate the mystery of the regularity and predictability of the world. Despite the concatenation of chaotically unpredictable movements of atoms and molecules, our experience is of a world that possesses a deep-laid consistency and continuity. Our search for the source of that consistency looked first to the ‘laws' of Nature that govern how things change. But gradually we have identified a collection of mysterious numbers which lie at the root of the consistency of experience. These are the constants of Nature. They give the Universe its distinctive character and distinguish it from others we might imagine. They capture at once our greatest knowledge and our greatest ignorance about the Universe. For, while we measure them to ever greater precision, fashion our fundamental standards of mass and time around their invariance, we cannot explain their values. We have never explained the numerical value of any of the constants of Nature. We have discovered new ones, linked old ones, and understood their crucial role in making things the way they are, but the reason for their values remain a deeply hidden secret. To search it out we will need to unpick the most fundamental theory of the laws of Nature, to discover if the constants that define them are fixed and framed by some overarching logical consistency or whether chance still has a role to play.

Our first glimpses reveal a very peculiar situation.