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Editorial Reviews

From Publishers Weekly

The concept of additional spatial dimensions is as far from intuitive as any idea can be. Indeed, although Harvard physicist Randall does a very nice job of explaining—often deftly through the use of creative analogies—how our universe may have many unseen dimensions, readers' heads are likely to be swimming by the end of the book. Randall works hard to make her astoundingly complex material understandable, providing a great deal of background for recent advances in string and supersymmetry theory. As coauthor of the two most important scientific papers on this topic, she's ideally suited to popularize the idea. What is absolutely clear is that physicists simply do not yet know if there are extra dimensions a fraction of a millimeter in size, dimensions of infinite size or only the dimensions we see. What's also clear is that the large hadron collider, the world's most powerful tool for studying subatomic particles, is likely to provide information permitting scientists to differentiate among these ideas soon after it begins operation in Switzerland in 2007. Randall brings much of the excitement of her field to life as she describes her quest to understand the structure of the universe. B&w illus.
Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved. --This text refers to the Hardcover edition.

From The New Yorker

Randall, a professor of physics at Harvard, offers a tour of current questions in particle physics, string theory, and cosmology, paying particular attention to the thesis that more physical dimensions exist than are usually acknowledged. Writing for a general audience, Randall is patient and kind: she encourages readers to skip around in the text, corrals mathematical equations in an appendix at the back, and starts off each chapter with an allegorical story, in a manner recalling the work of George Gamow. Although the subject itself is intractably difficult to follow, the exuberance of Randall's narration is appealing. She's honest about the limits of the known, and almost revels in the uncertainties that underlie her work—including the possibility that some day it may all be proved wrong.
Copyright © 2006 The New Yorker --This text refers to the Hardcover edition.

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Product Details

Paperback: 499 pages
Publisher: Harper Perennial (September 19, 2006)
Language: English
ISBN-10: 0060531096
ISBN-13: 978-0060531096
Product Dimensions: 8.2 x 5.4 x 1.4 inches
Shipping Weight: 1 pounds (View shipping rates and policies)

Average Customer Review: 4.4 out of 5 stars See all reviews (153 customer reviews)

Amazon.com Sales Rank: #64,264 in Books (See Bestsellers in Books)

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#8 in	Books > Science > Physics > Nuclear Physics > Particle Physics
#60 in	Books > Professional & Technical > Professional Science > Astronomy > Cosmology
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Inside This Book (learn more)
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First Sentence:
The word "dimension," like so many words that describe space or motion through it, has many interpretations-and by now I think I've heard them all. Read the first page

Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
weak scale energy, weak gauge boson masses, boundary branes, first brane, second brane, infinite fifth dimension, separated branes, bosonic superpartners, single brane, warped scenario, warped geometry, different branes, gravitational force lines, infinite extra dimension, localized gravity, one brane, weak gauge bosons, virtual top quark, two branes, gravitational force law, same physical consequences, large extra dimensions, quantum contributions, other branes, superpartner masses

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Standard Model, Grand Unified Theory, New York, Edward Witten, Gerald Holton, Lord Kelvin, Santa Barbara, What's New, Big Bang, David Gross, Joe Polchinski, Andy Strominger, Harvard University Press, Sergio Ferrara, Stanford Linear Accelerator Center, Abraham Pais, Enrico Fermi, Grand Unification Theory, Icarus Rushmore, Jeff Harvey, Max Planck, Niels Bohr, Taj Mahal, Theodor Kaluza, Werner Heisenberg

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Citations (learn more)

This book cites 35 books:

The Advancement of Science, and Its Burdens by Gerald Holton on page 118, and page 138
Charlie and the Chocolate Factory by Roald Dahl on page 17, and page 18
Physics and Beyond (World Perspectives) by Werner Heisenberg on page 138
The Origin Of Species: 150th Anniversary Edition by Charles Darwin on page 162
String Theory 2 Volume Set (Cambridge Monographs on Mathematical Physics) by Joseph Polchinski on page 297

See all 35 books this book cites

5 books cite this book:

Punk Science: Inside the Mind of God by Manjir Samanta-Laughton on page 171, page 251, and page 305
Imagining the Tenth Dimension: A New Way of Thinking About Time and Space by Rob; Bryanton in Front Matter (1), Front Matter (2), and page 48
Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law by Peter Woit on page 159, and Back Matter
MindLight: Secrets of Energy, Magick & Manifestation by Silver RavenWolf in Back Matter
Linguistic Minimalism: Origins, Concepts, Methods, and Aims (Oxford Linguistics) by Cedric Boeckx in Back Matter

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A First Course in String Theory by Barton Zwiebach

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Customer Reviews

153 Reviews

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448 of 475 people found the following review helpful:

5.0 out of 5 stars An EXCELLENT journey into cutting-edge physics!, October 10, 2005

By	Kasper Olsen "Dr. Kolsen" (Copenhagen, Denmark) - See all my reviews (REAL NAME)

This review is from: Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions (Hardcover)

Prof. Lisa Randall's new book, Warped Passages, is a grand tour of some of the most important recent developments in high-energy physics.

The book is intended for a popular audience, but is also a very interesting read for anybody with a background in theoretical physics (like myself). The first part contains an overview of modern physics - Einstein's theories of relativity, quantum mechanics and the Standard Model of particle physics. The last part concentrates on the idea of extra dimensions beyond the standard four we know about, which can be motivated by string theory and its discovery of the so-called D-branes. Specifically, she explains the work, pioneered by herself, Raman Sundrum and others, on the so-called "braneworld scenarios". Basically, this is the idea that our four dimensional space-time is embedded in some higher dimensional space, usually called the "bulk".

You might think, that extra dimensions are just part of a set of crazy ideas? On the contrary. You should know, that the idea of extra dimensions is actually not at all new. Already in 1884, the original book, "Flatland: A Romance of Many Dimensions" (written by the English mathematician Edwin Abbott) described a world of two-dimensional beings, who only have indirect knowledge of the extra third space-dimension. But, from a mathematical point of view, one can imagine as many dimensions as one wants to. In physics, the story is somewhat different.

In physics, there are basically two distinct ways in which one can add extra dimensions to our four-dimensional universe. Already in the 1920's, Klein suggested that our universe is five-dimensional, where the extra dimension is rolled up in a circle, which is so tiny, that the universe looks four-dimensional at long enough distance-scales. The motivation was to give a unified geometrical description of electromagnetism and gravitation using Einstein's general theory of relativity. However appealing, this theory was destined to fail. Today we know, that there are other forces which should be included in a unified theory: namely the weak and strong nuclear forces. Presently there is only one theory which can possibly do the work, and this is string theory. Perturbative string theory tells us, that our space-time is ten-dimensional, and that the extra six dimensions should be rolled up in a small but complicated shape (which is determined by some mathematical restrictions).

Another way to achieve hidden extra dimensions of space is to suppose, that all normal matter, as well as the light by which we see the world, is confined to a four-dimensional "brane" embedded in a five-dimensional "bulk" - or larger universe. These so-called braneworld theories are the ones of Lisa Randall, Raman Sundrum and others. Warped Passages explains - in excellent style - the logic behind these seemingly fancy ideas.

What I particularly liked about the first part of this book is how Prof. Randall makes people envision extra dimensions. As Randall writes, "we are not physiologically equipped to envision more than three dimensions of space", so it might be difficult for the general reader to comprehend this idea. But, as Prof. Randall also explains, readers need not imagine a dimension only in spatial terms. Here is an example from the book: If you are buying a house, the factors you might consider include its location (specified by three numbers), price (one number), size (one number), and possibly many other things. So, the number of dimensions in your house search simply equals "the number of quantities you find worth investigating".

What Prof. Randall describes in the last part is - in more technical terms - her work with Raman Sundrum on solving the flavor-changing problem, the gaugino mass problem (and other things) that occur in supersymmetric models with the supersymmetry breaking sector on another brane, separated from ours, or in the bulk; the Randall-Sundrum warped geometry with two branes (a so-called "weak-brane", where we are supposed to live, and a "gravity-brane") and the Randall-Sundrum warped geometry with an infinite extra dimension, using so-called AdS geometry.

The main point guiding Randall's research - described in the last part of the book - is the fact that gravity is such a profoundly weak force. Indeed, gravity is the puniest of the fundamental forces governing the matter in the universe, by a huge margin (typically a 10^36 times weaker than the electromagnetic force between two charged particles). Why is this so?

Why this is so, Prof. Randall suggests, is because we live in a universe containing at least one extra dimension beyond those we can perceive. And gravity is weak because it has been "diluted" into this extra space. This is indeed a very simple and persuasive idea. (And also from the point of view of string theory a very compelling idea, with a simple explanation, related to objects in string theory called D-branes - like an infinite string (a 1-brane), a membrane (a 2-brane) etc). But note that Prof. Randall's original models are not inherently string-theoretical; it is just that her models have an elegant and simple interpretation in string theory. So you don't need to know *anything* about string theory to understand this book).

The breakthrough research by Randall and Sundrum proposed that gravity's dilution can be explained in terms of a cosmic configuration featuring two branes - or two infinite planes, separated by a higher dimensional bulk space. Roughly speaking, the "center of gravity" is on the "gravity-brane" - and some gravity leaks out of this brane, through the bulk, and onto the other brane, usually called the "weak-brane", which is where we live, and which contain the Standard Model fields. Later on, Randall and Sundrum found, that their concept is also theoretically consistent with a configuration which includes only one brane. Usually, one would think that Newton's 1/r^2 law of gravitation implies that there are four and only four non-compact dimensions of infinite extend. Randall and Sundrum showed that this is not correct.

The fact that branes are an important part of modern string theory meant that string theorists took an early interest in the Randall-Sundrum models. Furthermore, since Prof. Randall's research did not directly challenge string theory models, the string theory community actually accepted and recognized the profound significance of her work very early on.

One of the long outstanding problems of the Standard Model of particle physics, that braneworlds do provide an interesting answer for, is the "hierarchy problem", or why the weak and Planck scales are so disparate (10^2 GeV compared with 10^19 GeV). In these scenarios, the fundamental gravitational scale is not the Planck scale, but something closer to the weak scale. The conjecture is that gravity is not weak because the Planck scale is so large, but because braneworlds provide various geometrical mechanisms for making the gravitational force much weaker than the others.

All this would of course be pointless speculation unless there was some way for the extra dimensions to manifest themselves. So, can these ideas be experimentally tested? As Prof. Randall explains in detail, the answer is: yes indeed! It is possible that evidence supporting the braneworld models could appear within a decade or so, after the Large Hadron Collider (LHC), currently being built at the particle-physics laboratory CERN, starts operating in 2007. Here the traces of extra dimensions could come from "gravitons" (the fundamental constituents of gravity) moving into the extra dimension(s).

Some versions of the theory even predict that, as a result, small black holes could conceivably be created from the high-speed collisions at the LHC! (but don't worry, the black holes will only exist for about 10^{-26} sec and the Earth will not dis�ppear into a black hole). If the LHC sees the kinds of effects predicted by these models, be sure that there will be some well-earned Nobel prizes for the people involved in this story.

Let me say a few words about the style of the book. The book's central point - the possible existence of extra dimensions in space - is easy enough to explain; at least if the reader can comprehend the idea, that our universe has more than four space-time dimensions, which might not be easy. However, to motivate the conjecture of higher dimensions, Prof. Randall must first explain the General Theory of Relativity, quantum mechanics and the Standard Model of particle physics, with its zoo of subatomic objects - quarks, leptons, bosons of various sorts - and the details of the forces that act between them. To ensure the convergence of her ideas in the readers mind, she then has to go into more advanced topics such as "quantum field theory", "spontaneous symmetry breaking", the "Higgs potentials" and "supersymmetry". (But all these concepts are explained in much detail).

All this is a prerequisite for being able to properly describe string theory, and Prof. Randall must then proceed to the less understood generalization called 'M-theory' (which is an eleven-dimensional theory containing two-branes and five-branes). Only then can Prof. Randall explain how branes emerge from a jumble of concepts and ideas, that most likely might be unfamiliar to the general reader. But as far as I can judge, she accomplish this tour de force with *much* success. The immanent "problem" with such theories of unification is that one cannot leave anything out and therefore - to be explained and understood - they require background knowledge in virtually all of physics. But I think that Prof. Randall has done a very good job in explaining all the required physics in terms of analogies, simple illustrations and so on.

Finally I... Read more ›

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58 of 62 people found the following review helpful:

5.0 out of 5 stars Why I liked Lisa Randall's new book, September 17, 2005

By	Lee Smolin (Toronto) - See all my reviews (REAL NAME)

This review is from: WARPED PASSAGES: UNRAVELLING THE UNIVERSE\'S HIDDEN DIMENSIONS (Hardcover)

Lisa Randall is one of the most important and influential theoretical particle physicists working today and this book tells the story of how she came to her most important ideas. The book is full of detail and takes the reader into the minds of the author and her collaborators as they struggle towards the discovery of a new approach to the key problems in particle physics. What I really like is that she takes the time to tell the real story, and not just some oversimplified version.

She is also refreshingly honest. She explains the motivation for her work, but unlike many of our colleagues, she does not oversell. You can think of her as a reliable climbing guide. With her help you can get to the top of a mountain you could not climb yourself. But you never forget about the difficultyies and the risks that both professionals and amateurs take when we try to advance our understanding of the laws of nature.

As a theorist myself, I am aware of how far we are from solving the problems in elementary particle physics thyat Lisa Randall's work addresses. But I am sure we will get there and my optimism is due in no small part to the fact that Lisa and her colleagues are on the case.

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163 of 190 people found the following review helpful:

5.0 out of 5 stars A Bright Light in a Dark Passageway..., September 11, 2005

By	Dennis R. Meyer MD "Kahuna914" (Honolulu, HI United States) - See all my reviews (REAL NAME)

This review is from: Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions (Hardcover)

The popularization of Cosmology through recent television (PBS's
"Elegant Universe") and cinema ("What the BLEEP Do We Know?")as well as an extant excellent press by actual Cosmologists such as Brian Greene and Stephen Hawking have "softened up" an avid readership for this book. Dr. Randall is "spherically exquisite", to paraphrase Fritz Zwicky: She is perfect from any angle;cutting edge benchwork researcher; top line theorist; most-quoted author; Harvard Professor....PLUS she's a HOTTIE (my son's words). As she walks you through the requisite historical and theoretical building blocks for armchair Cosmology, her clarity is best ever. Her expansion into extradimensional physics verges upon the philosophic, without straying into the "touchy/feely" quasi religious miasma of cult fiction. Elucidating the Multidimensional Brane Theory of Everything is a task she accomplishes with clarity, wit and a mere hint or Feminism (quite appropriate in her male-dominated field). This is a Great Book. I'm giving it to all my colleagues on our Medical Faculty as well as my friends who share my fascination with Physics, but lack the requisite Math. ( Dr. Randall even supplies much of that onerous mathematical work,unburdened in her unique style, which makes the most stygian topic clear as daylight). Brava, Dr. Randall!
Dennis R. Meyer MD, FACP

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5.0 out of 5 stars It could warp your brain
Jim Morrison may have noted that people are strange, but I don't think he realized that on the most basic level, everything is strange. Read more

Published 5 days ago by mrliteral

5.0 out of 5 stars Well written, interesting, and easy to understand
If you are interested in what makes the universe tick, this book gives some insights to current ideas on the subject. Read more

Published 1 month ago by M. Shepherd

4.0 out of 5 stars well-written, enlightening, lengthy
The author articulates the science in lay terms very well. Her specialty is particle physics, but she gives equal treatment to general relativity, quantum mechanics, string... Read more

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Dr. Randall's Warped Passages will swiftly and easily transport you into a great world of fascinating science and enlightening ideas. Read more

Published 10 months ago by Ezekiel E. Cortez

4.0 out of 5 stars Review of Warped Passages
Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
As a physicist, I find most of the popularized literature, not really understandable by the... Read more

Published 14 months ago by John Ferrante

5.0 out of 5 stars Very clear, balanced intro to modern physics and its frontiers
I found Lisa Randall's "Warped Passages . . ." to be an extremely accessible book for the layperson because of its clarity and balanced emphasis on each of several competing and... Read more

Published 15 months ago by John A. Castaneda

1.0 out of 5 stars A waste
Very disappointing. Poorly written. I wanted a detailed explanation of the new thoughts in physics and got a droll tedious lecture on physics. Read more

Published 15 months ago by D. Fullmer

5.0 out of 5 stars Four reasons to purchase
Lisa Randall is a theoretician working at the front line of modern physics, and this book essentially covers, without maths (an extraordinary achievement) Randall's path... Read more

Published 17 months ago by I. J. Miller

5.0 out of 5 stars Why I was interested in science in the first place
From the moment I first saw this book I was intrigued. I have followed developments in high energy physics only occasionally since I graduated 10 years ago. Read more

Published 17 months ago by Wyatt Foard

5.0 out of 5 stars Groundbreaking Physics in Beautiful Prose
Professor Randall of Harvard has written a truly monumental book for physics and for those interested in science. Read more

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MDT & higher dimensions / Kaluza Klein Theory	0	February 2007
Moving Dimensions Theory--No Need for Warped Passages	0	January 2007
Daily Reminder: Extra Dimensions Do Not Exist: Moving Dimensions Theory	0	January 2007
MDT trumps Randall & ST	0	December 2006
While Randall Quotes Eminem, She Forgets to Quote Einstein	0	September 2006
Read the Reviews from our cousins in the U.K.	2	August 2006

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