Lawrence Krauss - The Greatest Story Ever Told--So Far

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by Why Are We Here (pdf)


  be responsible for the observed energy scale of the weak interaction.

  All of this comes at a cost, however. For the theory to work, there

  must be two Higgs bosons, not just one. Moreover, one would expect

  to begin to see the new supersymmetric particles if one built an

  ͟͜͞

  accelerator such as the LHC, which could probe for new physics

  near the electroweak scale. Finally, in what looked for a while like a

  rather damning constraint, the lightest Higgs in the theory could not

  be too heavy or the mechanism wouldn’t work.

  As searches for the Higgs continued without yielding any results,

  accelerators began to push closer and closer to the theoretical upper

  limit on the mass of the lightest Higgs boson in supersymmetric

  theories. The value was something like 135 times the mass of the

  proton, with details to some extent depending on the model. If the

  Higgs could have been ruled out up to that scale, it would have

  suggested all the hype about supersymmetry was just that.

  Well, things turned out differently. The Higgs that was observed

  at the LHC has a mass about 125 times the mass of the proton.

  Perhaps a grand synthesis was within reach.

  The answer at present is . . . not so clear. The signatures of new

  supersymmetric partners of ordinary particles should be so striking

  at the LHC, if they exist, that many of us thought that the LHC had a

  much greater chance of discovering supersymmetry than it did of

  discovering the Higgs. It didn’t turn out that way. Following three

  years of LHC runs, there are no signs whatsoever. The situation is

  already beginning to look uncomfortable. The lower limits that can

  now be placed on the masses of supersymmetric partners of ordinary

  matter are getting higher. If they get too high, then the

  supersymmetry-breaking scale would no longer be close to the

  electroweak scale, and many of the attractive features of

  supersymmetry breaking for resolving the hierarchy problem would

  go away.

  But the situation is not yet hopeless, and the LHC has been turned

  on again, this time at higher energy. It could be that, in the year

  between the time I write these words and the book going into its

  tenth printing, supersymmetric particles will be discovered.

  ͟͜͟

  If they are, this will have another important consequence. One of

  the bigger mysteries in cosmology is the nature of the dark matter

  that appears to dominate the mass of all galaxies we can see. As I

  have briefly alluded to earlier, there is so much of it that it cannot be

  made of the same particles as normal matter. If it were, for example,

  the predictions of the abundance of light elements such as helium

  produced in the Big Bang would no longer agree with observation.

  Thus physicists are reasonably certain that the dark matter is made

  of a new type of elementary particle. But what type?

  Well, the lightest supersymmetric partner of ordinary matter is, in

  most models, absolutely stable and has many of the properties of

  neutrinos. It would be weakly interacting and electrically neutral, so

  that it wouldn’t absorb or emit light. Moreover, calculations that I

  and others performed more than thirty years ago showed that the

  remnant abundance today of the lightest supersymmetric particle

  left over after the Big Bang would naturally be in the range so that it

  could be the dark matter dominating the mass of galaxies.

  In that case our galaxy would have a halo of dark matter particles

  whizzing throughout it, including through the room in which you

  are reading this. As a number of us also realized some time ago, this

  means that if one designs sensitive detectors and puts them

  underground, not unlike, at least in spirit, the neutrino detectors that

  already exist underground, one might directly detect these dark

  matter particles. Around the world a half dozen beautiful

  experiments are now going on to do just that. So far nothing has

  been seen, however.

  So, we are in potentially the best of times or the worst of times. A

  race is going on between the detectors at the LHC and the

  underground direct dark matter detectors to see who might discover

  the nature of dark matter first. If either group reports a detection, it

  will herald the opening up of a whole new world of discovery,

  ͟͜͠

  leading potentially to an understanding of Grand Unification itself.

  And if no discovery is made in the coming years, we might rule out

  the notion of a simple supersymmetric origin of dark matter—and in

  turn rule out the whole notion of supersymmetry as a solution of the

  hierarchy problem. In that case we would have to go back to the

  drawing board, except if we don’t see any new signals at the LHC, we

  will have little guidance about which direction to head in order to

  derive a model of nature that might actually be correct.

  Things got more interesting when the LHC reported a tantalizing

  possible signal due to a new particle about six times heavier than the

  Higgs particle. This particle did not have the characteristics one

  would expect for any supersymmetric partner of ordinary matter. In

  general the most exciting spurious hints of signals go away when

  more data are amassed, and about six months after this signal first

  appeared, after more data were amassed, it disappeared. If it had not,

  it could have changed everything about the way we think about

  Grand Unified Theories and electroweak symmetry, suggesting

  instead a new fundamental force and a new set of particles that feel

  this force. But while it generated many hopeful theoretical papers,

  nature seems to have chosen otherwise.

  The absence of clear experimental direction or confirmation of

  supersymmetry has thus far not bothered one group of theoretical

  physicists. The beautiful mathematical aspects of supersymmetry

  encouraged, in 1984, the resurrection of an idea that had been

  dormant since the 1960s when Nambu and others tried to

  understand the strong force as if it were a theory of quarks

  connected by stringlike excitations. When supersymmetry was

  incorporated in a quantum theory of strings, to create what became

  known

  as

  superstring

  theory,

  some

  amazingly

  beautiful

  mathematical results began to emerge, including the possibility of

  ͟͜͡

  unifying not just the three nongravitational forces, but all four

  known forces in nature into a single consistent quantum field theory.

  However, the theory requires a host of new space-time

  dimensions to exist, none of which has been, as yet, observed. Also,

  the theory makes no other predictions that are yet testable with

  currently conceived experiments. And the theory has recently gotten

  a lot more complicated so that it now seems that strings themselves

  are probably not even the central dynamical variables in the theory.

  None of this dampened the enthusiasm of a hard core of

  dedicated and highly talented physicists who have continued to
work

  on superstring theory, now called M-theory, over the thirty years

  since its heyday in the mid-1980s. Great successes are periodically

  claimed, but so far M-theory lacks the key element that makes the

  Standard Model such a triumph of the scientific enterprise: the

  ability to make contact with the world we can measure, resolve

  otherwise

  inexplicable

  puzzles,

  and

  provide

  fundamental

  explanations of how our world has arisen as it has. This doesn’t

  mean M-theory isn’t right, but at this point it is mostly speculation,

  although well-meaning and well-motivated speculation.

  Here is not the place to review the history, challenges, and

  successes of string theory. I have done that elsewhere, as have a

  number of my colleagues. It is worth remembering that if the lessons

  of history are any guide, most forefront physical ideas are wrong. If

  they weren’t, anyone could do theoretical physics. It took several

  centuries or, if one counts back to the science of the Greeks, several

  millennia of hits and misses to come up with the Standard Model.

  So this is where we are. Are great new experimental insights just

  around the corner that may validate, or invalidate, some of the

  grander speculations of theoretical physicists? Or are we on the

  verge of a desert where nature will give us no hint of what direction

  to search in to probe deeper into the underlying nature of the

  ͟͜͢

  cosmos? We’ll find out, and we will have to live with the new reality

  either way.

  No matter what curveballs nature may throw at us, the recent

  discovery of the Higgs, the latest and one of the greatest

  experimental and theoretical achievements of the remarkable

  Standard Model of particle physics, has beautifully capped more

  than two millennia of intellectual effort by brave and determined

  philosophers, mathematicians, and scientists to uncover the hidden

  tapestry that underlies our existence.

  It also suggests that the beautiful universe in which we find

  ourselves may not only resemble, at least metaphorically, an ice

  crystal on a windowpane, it may be almost as ephemeral.

  ͣ͟͜

  C h a p t e r 2 3

  F R O M A B E E R PA R T Y T O

  T H E E N D O F T I M E

  For the fashion of this world passeth away.

  —1 CORINTHIANS 7:31

  My own research focus for much of my career has been the

  emerging field of cosmology called particle astrophysics. Following

  the flood of theoretical developments of the 1960s and 1970s, it was

  difficult for terrestrial experiments, limited as they are by our

  abilities to build complex machines such as particle accelerators, to

  keep up. As a result, a number of us turned to the universe for

  guidance. Since the Big Bang implies that the early universe was hot

  and dense, conditions existed then that we might never achieve in

  laboratories on Earth. But if we are clever, we can look for remnant

  signatures of those early times out in the cosmos, and we may be

  able test our ideas about even the most esoteric aspects of

  fundamental physics.

  My previous book, A Universe from Nothing, described the

  revolutions in our understanding of the evolution of the universe on

  large scales, and over long times. Not only have our explorations

  revealed the existence of dark matter, which, as I have described, is

  likely composed of new elementary particles not yet observed in

  accelerators—although we may be on the cusp of doing so—but far

  more exotic still, we have discovered that the dominant energy of

  the universe resides in empty space—and we currently have no idea

  how it arises.

  ͤ͟͜

  Our observations have now taken us back to the neonatal

  universe. We have observed the fine details of radiation, called the

  cosmic microwave background, which emanates from a time when

  the universe was merely three hundred thousand years old. Our

  telescopes take us back to the earliest galaxies, which formed

  perhaps a billion years after the Big Bang, and have allowed us to

  map huge cosmic structures containing thousands of galaxies and

  spanning hundreds of millions of light-years across, sprinkled amid

  the hundred billion or so galaxies in the visible universe.

  To explain these features, theorists rely on an idea that arose due

  to the development of Grand Unified theories. In 1981, Alan Guth

  realized that the symmetry-breaking transition that might occur at

  the GUT scale early in the universe might not be identical to the

  transition that breaks the symmetry between the weak interaction

  and electromagnetism. In the GUT case, the Higgs-like field that

  condenses in space to break the GUT symmetry between the strong

  force and the electroweak force might momentarily get stuck in a

  metastable high-energy state before relaxing to its final

  configuration. While it was in this “false vacuum” configuration, the

  field would store energy that would be released when the field

  ultimately relaxed to its preferred lowest-energy configuration.

  The situation would not be unlike what may have happened to

  you if you have ever planned a big party and then forgotten to put

  the beer in the fridge in time. You then put the beer in the freezer

  and forget about it during the party. The next day you discover the

  beer, open a bottle, and wham! The beer in the bottle suddenly

  freezes and expands, shattering the glass, and producing quite a

  mess. Before the top is taken off, the beer is under high pressure, and

  the beer at this pressure and temperature is liquid. However, once

  you open the top and release the pressure, the beer suddenly freezes.

  ͥ͟͜

  During the transition, energy is released as the beer relaxes to its new

  state—enough energy to cause the expanding ice to break the bottle.

  Now imagine a similar situation when you are in a cold climate.

  On a brisk and rainy winter day, the temperature may quickly drop

  below freezing, causing the rain to change to snow. Puddles of water

  on the street may not freeze right away, especially if the tires of

  passing cars are continually agitating them. Later in the day, when

  the traffic dies down, the water may suddenly freeze, causing

  dangerous black ice on the road. Due to the previous agitation by

  cars and the quick fall in temperature, the water got stuck in a

  “metastable phase,” namely as a liquid. Eventually, however, a phase

  transition takes place, and the black ice forms. Because at these low

  temperatures the preferred, lowest-energy state of water is its solid

  form, when the liquid freezes, it releases the excess energy it stored

  in its metastable liquid state.

  Guth wondered what would have happened in the early universe

  if such a behavior occurred during a Grand Unified Theory

  transition—if whatever scalar field that acts like the Higgs field for

  that transition remains in its original (symmetry-preserving) ground

  state for a brief time, even as the
universe cools past the point where

  the new (symmetry-breaking) ground state condensate becomes

  preferred. Guth realized that this type of energy, stored through

  space by this field before the transition completes, would be

  gravitationally repulsive. As a result, it would cause the universe to

  expand—potentially by a huge factor, maybe twenty-five orders of

  magnitude or more in scale—in a microscopically short time.

  He next discovered that this period of rapid expansion, which he

  dubbed inflation, could resolve a number of existing paradoxes

  associated with the Big Bang picture, including why the universe is

  so uniform on large scales and why three-dimensional space on large

  scales appears so close to being geometrically flat. Both of these

  ͟͜͝

  seem inexplicable without inflation. The first problem is solved

  because, during the rapid expansion, any initial inhomogeneities get

  smoothed out, just as a wrinkled balloon gets smoothed out when it

  gets blown up. Pushing the balloon analogy further, the surface of a

  balloon that is blown up to be very large, say, the size of Earth, could

  look very flat, just as Kansas does. While this provides two-

  dimensional intuition, the same phenomenon would apply to the

  three-dimensional curvature of space itself. After inflation, space

  would appear to be flat—namely it would be like the universe most

  of us had assumed we live in already, where parallel lines never

  intersect and the x, y, and z axes point the same direction

  everywhere in the universe.

  After inflation ends, the energy stored in the false vacuum state

  throughout space would be released, producing particles and

  reheating the universe to a high temperature, setting up a natural

  and realistic initial condition for the subsequent standard hot Big

  Bang expansion.

  Even better, a year after Guth proposed his picture, a number of

  groups performed calculations of what would happen to particles

  and fields as the universe rapidly expanded during inflation. They

  discovered that small inhomogeneities resulting from quantum

  effects at early times would then be “frozen in” during inflation.

  After inflation ended, these small inhomogeneities could grow to

  produce galaxies, stars, planets, etc., and would also leave an imprint

  in the cosmic microwave background (CMB) radiation that

 

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