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'probability distribution' for four-dimensional universes embedded in a larger
dimensional multiverse. One might find, for example, that the bulk of such
universes that had small vacuum energy also had three families of elementary
particles and four different forces. Or one might find that only in universes with
small vacuum energy could there exist a long-range force of electromagnetism. Any
such result might provide reasonably compelling evidence that a probabilistic
anthropic explanation of the energy of empty space makes solid physical sense.
Needless to say, such mathematical conditional probabilities have not resulted
thus far. That does not mean they do not exist however. Nevertheless, in the
meantime particle physics have taken anthropic reasoning a step further.
Particle physicists are way ahead of cosmologists. Cosmology has produced one
totally mysterious quantity: the energy of empty space, about which we understand
virtually nothing. However, particle physics has not understood many more
quantities for far longer!
For example: Why are there three generations of elementary particles? Why is
gravity so much weaker than the other forces in nature? Why is the proton 2000
times heavier than the elecdtron? And so on.
Some particle physicists have now jumped on the anthropic bandwagon in the
extreme. For perhaps not just one fundamental quantity in nature is an
environmental accident. Maybe all of the mysteries of particle theory can be solved
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by invoking the same mantra: If the Universe were any other way, we could not live
in it!
One might wonder if such a solution of the mysteries of nature is any solution at
all, or more importantly, whether it describes science as we understand it. After all,
the goal of science, and in particular physics, over the past 450 years has been to
explain why the universe must be the way we measure it to be, rather than why in
general the laws of nature would produce universes which are quite different
I have tried to explain why this is not quite the case, namely why many
respectable scientists have turned to the anthropic principle, and why a number
have worked quite hard to see if we might learn something new about our universe
based on it
Let me now go further and try and explain how the existence of forever
undetectable universes, either removed from us by virtually infinite distances in
space, or right beyond the tip of our noses, removed from us by microscopic
distances in possible extra dimensions, might nevertheless be subject to some kind
of empirical testing.
Imagine, for example, that we devised theory based on unifying at least three of
the four forces of nature in some 'Grand Unified Theory', a subject of continued
intense interest in particle physics (among those who have not given up looking for
fundamental theories in four dimensions). Such a theory would make predictions
about the forces of nature that we measure and about the spectrum of elementary
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particles that we probe at our accelerators. Should such a theory make a host of
predictions that are subsequently verified in our experiments we would have very
good reason to suspect that it contains a germ of truth.
Now, suppose this theory imagine such a theory also predicts a period of
inflation in the early universe, and in fact predicts that our inflationary epoch is
merely one of a host of such episodes in an eternally inflating multiverse. Even if we
could not directly explore the existences of such regions beyond our horizon, then,
as I have said earlier, if it walks like a duck and quacks like a duck... well you know.
Possible empirical support for the ideas surrounding extra dimensions is more
far-fetched, but not impossible. There are many bright young theorists who are
devoting their professional careers to the hope of developing the theory to the point
where there might be some evidence, even indirect, that it is correct. Their hopes
might be misplaced, but they have voted with their feet.
So, after a century of remarkable, truly unprecedented progress in our
understanding of nature, we have found ourselves able to probe the universe on
scales which were previously unimaginable, we have understood the nature of the
Big Bang expansion back to its earliest microseconds, and have discovered the
existence of hundreds of billions of new galaxies, with hundreds of billions of new
stars. We have discovered that 99% of the Universe is actually invisible to us,
dominated by dark matter that is most likely some new form of elementary particle,
and dark energy, whose origin remains a complete mystery at the present time.
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And after all of this, it may be that physics will become an 'environmental
science'. It could be that the fundamental constants of nature, so long assumed to
take on special importance, could just be environmental accidents. If we tend to
take ourselves too seriously, maybe we have taken our universe too seriously too.
Maybe literally, as well as metaphorically, we are making much ado about nothing,
or at least the nothing that dominates our universe!. Maybe our universe is rather
like a tear buried in a vast multiversal ocean of possibilities. Maybe we will never
find a theory that describes why the universe has to be the way it is.
Or maybe we will.
That, finally, is the most accurate picture of reality as we now understand it that
I can paint. It is based on work of tens of thousands of dedicated minds over the
past century, building some of the most complex machines ever devised, and
discovering some of the most beautiful and also the most complex ideas humanity
has ever had to grapple with. It is a picture whose development emphasizes the
best about what it is to be human. And we owe it to ourselves to draw wisdom from
it. To do otherwise would do a disservice to all the brilliant and brave individuals
who helped us reach our current state of knowledge.
If we wish to draw philosophical conclusions about our own existence, our
significance, and the significance of the universe itself, our conclusions should be
based on empirical truths. A truly open mind means forcing our imaginations to
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conform to the evidence of reality, and not vice-versa, whether or not we like the
implications.
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I don't mind not knowing. It doesn't scare me.
Richard Feynman
Isaac Newton, perhaps the greatest physicist of all time, profoundly changed the
way we think about the universe in many ways. But perhaps the most important
contribution he made was to demonstrate the possibility that the entire universe is
explicable. With his Universal Law of Gravity, he demonstrated for the first time
that even the heavens might bend to the power of natural laws. A strange, hostile,
menacing and seemingly capricious universe might be nothing of the sort
If immutable laws governed the Universe, the mythical Gods of Ancient Greece
and Rome would have been impotent. There would have been no freedom to
arbitrarily bend the world to create thorny problems for mankind. What held for
Zeus would also apply to the God of Israel. How could the Sun stand still at midday
if the Sun did not orbit the earth but it's motion in the sky was actually caused by the
revolution of the Earth, which, if suddenly stopped, would produce forces on its
surface that would destroy all human structures, and humans along with them?
Of course, supernatural acts are what miracles are all about They are after all,
precisely those things that circumvent the laws of nature. A God who can create the
laws of nature can presumably also circumvent them at will. Although why they
would have been circumvented so liberally thousands of years ago, before the
invention of modern communication instruments that could have recorded them,
and not today, is still something to wonder about
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In any case, even in a Universe with no miracles, when one is faced with a
profoundly simple underlying order, two different conclusions can be drawn. One,
drawn by Newton himself, and earlier espoused by Galileo, and a host of other
scientists over the years, was that such order was created by a divine intelligence,
responsible not only for the Universe, but for our own existence, and that we were
created in her image. The other conclusion is that the laws themselves are all that
exist. They themselves require our universe to come into existence, to develop and
evolve, and that we are an irrevocable by product of these laws. The laws may be
eternal, or they too may have come into existence, again by some as of yet unknown,
but purely physical cause.
These possibilities continue to be debated by philosophers, theologians, and
sometimes scientists. We do not know for certain which of them actually describes
our universe, and perhaps we shall never know. But the point is, as I emphasized at
the very beginning of this book, the final arbiter to this question will not come from
hope, desire, revelation or pure thought. It will come, if it ever does, from an
exploration of nature. Dream or Nightmare, as Jacob Bronowski said in the opening
quote in the book—and one person's dream in this case can easily be another's
nightmare—we need to live our experience as it is and with our eyes open. Or, as I
have put it, universe is the way it is, whether we like it or not.
And here, I think it is extremely significant that 'a universe from nothing', arising
naturally, and even inevitably, is increasingly consistent with everything we have
learned about the world. This learning has not come from philosophical or
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theological musings about morality or other speculations about the human
condition. It is instead based on the remarkable and exciting developments in
empirical cosmology and particle physics that I have described thus far.
I want to now return to the question I described at the beginning of this book:
"Why is there something rather than nothing?. We are now presumably in a better
position to address this, having now reviewed our modern picture of the universe,
its history, and its possible future in the preceding pages.
As I also alluded to at the beginning of this book, like almost all such
philosophical questions, this one too has been informed by science. Far from
providing a framework which forces upon us the requirement of a creator, the very
meaning of the words involved have so changed that the sentence has lost much of
its original meaning, as I shall describe.
At the same time, in science we have to be particularly cautious about "why"
questions. When we say "why", we usually mean "how". If we can answer the
latter, that generally suffices for our purposes. For example, we might ask: 'Why is
the Earth 93 million miles from the Sun?', but what we really probably mean is,
'How is the Earth 93 million miles from the Sun?'. That is, we are interested in what
physical processes led to the Earth ending up in its present position. 'Why'
implicitly suggests purpose, and when we try and understand the solar system in
scientific terms we do not generally ascribe purpose to it.
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So, I am going to assume what is meant by this question is really: "How is there
something rather than nothing?". Because this sentence sounds much stranger to
the ear, I hope I will be forgiven if I sometimes fall into the trap appearing to discuss
the more standard formulation when I am really trying to respond to the more
specific "how" question.
Even here, from the perspective of actual understanding, this particular 'how'
question has been supplanted by a host of operationally more fruitful questions,
such as, 'What might have produced the properties of the universe that most
strikingly characterize it at the present time?', or perhaps more importantly, 'How
can we find out?'. The answers to these questions involve theoretical predictions
that can be compared to experiments to drive our knowledge of the universe
forward more directly. It is for this reason in part that I have focused on such
questions up to this point in this book. Nevertheless, the 'something from nothing'
question continues to have great currency, and therefore needs to be confronted.
Whatever view one adopts about any inherent rationality to the universe, it
became clear already with Newton's work that possible domain of God's actions was
dramatically reduced. Newton's laws may not only have severely constrained the
freedom of action of a deity, they dispensed with various requirements for
supernatural intervention. Newton discovered that the motion of planets around
the sun does not require them to be continually pushed along their paths, but rather,
and highly non-intuitively, requires them to be pulled by a force acting toward the
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Sun, thus dispensing for the need for the Angels who were often previously invoked
to guide the planets on their way. While dispensing with this particular use of
angels has had little impact on people's willingness to believe in them (polls suggest
far more people believe in Angels in the US than believe in evolution), it is fair to say
that progress in science since Newton has even more severely constrained the
available opportunities for the hand of God to be manifest in his implied handiwork.
We can describe the evolution of the universe back to the earliest moments of
the big bang without specific need for anything beyond known physical laws, and
we can hope to do so for the future history as well. There are certainly puzzles
about the universe we don't understand, but I am going to assume that readers of
this book are not wedded to a "God of the Gaps" picture, whereby God is invoked
whenever there is something specific about our observations that seems puzzling or
not fully understood. Even theologians recognize that such recourse not only
diminishes the grandeur of their supreme being, it also opens her up to being
removed or further marginalized, whenever further work explains or removes the
puzzle.
In this sense, the 'something from nothing' argument really tries to focus on the
original 'act of creation', and asks whether a scientific explanation can ever be
logically complete and fully satisfying in addressing this specific issue.
It turns out that, given our current understanding of nature, there are three
different, separate meanings for the "something from nothing" question. The short
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answer to each is 'quite plausibly yes', and I shall discuss each in turn in the rest of
this book as I attempt to explain why, or, as I have argued just now, better yet, how.
Occam's razor then suggests that if it is physically plausible—or, as I shall argue,
often required—that something will come from nothing, then we don't need
recourse to more extraordinary claims, which, as Carl Sagan would say, would
require more extraordinary evidence. Surely, the requirement of an all powerful
deity who somehow exists outside of our universe, or multiverse, while at the same
time governing what goes on inside of it, is one such claim.
The Origins Project that I direct just ran a workshop on the Origin of Life, and I
cannot help but view the present cosmological debate in this context. We do not yet
fully understand how life originated on Earth. However, we not only have plausible
chemical mechanisms by which this might be conceivable, we are honing in closer
and closer every day to specific pathways that might have allowed biomolecules,
including RNA, to naturally arise. Moreover, Darwinian evolution, based on natural
selection, provides a compellingly accurate picture of how complex life emerged on
this planet following whatever specific chemistry produced the first faithfully self
replicating cells with a metabolism that captured energy from their environment.
(As good a definition of life as I can come up with for the moment)
Just as Darwin, albeit reluctantly, removed the need for Divine intervention in
the evolution of the modern world, teaming with diverse life throughout the planet,
(though he left the door open the possibility for God to have helped breath life into
the first forms), our current understanding of the Universe, its past, and its future,
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make it appear more and more plausible that 'something' arose without the need for
any divine guidance. I expect we will never achieve more than plausibility in this
regard. But that itself, in my view, is a tremendous step forward as we continue to
marshal the courage to live meaningful lives in a universe that most likely came into
existence, and may fade out of existence, without purpose and without us at its
center.
Let's now return to one of the most remarkable features of our Universe: It is as
close to being flat as we can measure. I remind you of the unique facet of a flat
universe, at least on scales where it is dominated by matter in the form of galaxies,
and where a Newtonian approximation remains valid: In a flat universe, and only in
a flat universe, the average gravitational energy of every object participating in the
expansion is precisely zero.
I emphasize that this was a falsifiable postulate. It didn't have to be this way.
Nothing required this a prior except theoretical speculations based on
considerations of a universe that could have arisen naturally from nothing, or at the
very least, almost nothing.
One cannot overstress the importance of the fact that once gravity is included in
our considerations of nature, one is no longer free to arbitrarily define the energy of
a system, nor the fact that there are both positive and negative contributions to this
energy. Determining the total gravitational energy of objects being carried along by
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the expansion of the Universe is not subject to arbitrary definition, any more than
the geometric curvature of the universe is a matter of definition. It is a property of
space itself, according to general relativity, and this property of space is determined
by the energy contained within it.
I say this because my statement that the average total gravitational energy of
every galaxy in our expanding universe is zero has been attacked, for example
during debates Christopher Hitchens has had with Dinesh S as being merely
something scientists have defined to be the case in order to support naturalistic
explanations of nature.
Nothing could be further from the truth. The effort to determine the curvature
of the Universe was an undertaking carried out over half a century by scientists who
have devoted their lives to determining the truth about the universe, not to
imposing their a priori desires upon it. I remember, even well after the theoretical
arguments about why the Universe should be flat were first proposed, how my
observational colleagues, during the 1980's and even early 1990's remained bent on
proving otherwise. For after all, in science one achieves the greatest impact not by
going along with the herd, but by bucking against it.
Nevertheless, it is the data that has had the last word, and the last word is in.
Our observable universe is as close to being flat as we can measure. The
gravitational energy of galaxies moving along with the Hubble expansion is zero, like
it or not.
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I would now like to describe how, if our universe arose from nothing, a flat
universe, one with zero total gravitational energy of every object, is precisely what
we should expect. The argument is a little subtle—subtler than I have been able to
describe in my lectures on the subject—so I am happy to have the space here to
carefully try and lay it out.
First, I want to be clear about what kind of 'nothing' I am discussing here. I first
want to assume the existence of space itself, but purely empty space, nothingness,
along with laws of physics that we might hope to understand by extrapolating what
we currently can measure and hopefully involving predictions that we may one day
test at particle accelerators or via observable signatures in the cosmos today.
In this case, as I have described in chapter 6, Alan Guth already explained to us
precisely in this case how we can get something from nothing—the ultimate free
lunch,. As we have seen, empty space can have a non-zero energy associated with it,
even in the absence of any matter or radiation. In this case, general relativity tells us
that space will expand exponentially, so that even the tiniest region at early times
could quickly encompass a size more than large enough to contain our whole visible
universe today.
What happens during such a rapid expansion? As we have also seen, what will
eventually encompass our universe gets flatter and flatter as its size grows. During
the period, while the energy density of empty space remains precisely constant (so
that the total energy stored in the empty space which is growing itself grows
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exponentially!), the total gravitational energy of any small region within the space
gets driven closer and closer to zero.
We have also seen that these miracles happen without the need for any hocus
pocus. Gravity has the remarkable property that gravitational energy can be
negative, while at the same time, the gravitational properties of empty space
endowed with energy are very peculiar. Solving Einstein's equations tells us that
such gravity is gravitationally repulsive, and, as I have also described, that the
gravitational 'pressure' associated with such energy is actually negative as well
I know of no heuristic physical explanation that explains the negative pressure
associated with the energy of empty space. Nevertheless, this negative pressure is
vital because it also means that as the Universe expands, the expansion itself
continues to pour energy into space. It is precisely in this way that space can keep
growing at a faster and faster rate.
When Inflation ends, in this picture, the energy stored into empty space gets
turned into an energy of real particles and radiation, creating effectively the
traceable beginning of our present Big Bang expansion. I say the traceable
beginning because Inflation effectively erases any memory of the state of the
Universe before it began. All complexities and inhomogeneities on initially large
scales (if the initial universe or metaverse were large, even infinitely large) get
smoothed out and/or driven so far outside our horizon today that we observe a
uniform universe after many many expansion periods of inflation have completed.
(Quantum mechanics produces some residual fluctuations during inflation, as I have
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described, and these can, in principle be responsible for all the structure we observe
in the universe today.)
Moreover, after all the dust is settled, the generic configuration of the matter and
radiation, unless one very very carefully fine tunes the amount of inflation, will be
that of a flat universe, one in which the average Newtonian gravitational energy of
all objects will appear to be zero.
As I have described earlier, therefore, our observable universe can start out
microscopically small and effectively empty and grow to enormous scales, all
without costing a drop of energy, yet producing enough matter and radiation to
account for everything we see today!
The important point worth stressing in at this time as I have briefly reviewed
inflationary dynamics is that something can arise from nothing in this case precisely
because the energetics of nothing, in the presence of gravity, are not what common
sense would have guided us to suspect before we discovered the underlying laws of
nature.
But no one ever said that the Universe is guided by what we, in our petty myopic
corners of space and time, might have originally thought was sensible, just as we
might have thought it was not sensible that nothing can produce something. The
beauty of science has been that it forces us to revise what is sensible to
accommodate the universe, rather than vice versa.
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The observation that the Universe is flat, that the local Newtonian gravitational
energy is zero today is strongly suggestive that our Universe arose though a process
like that of Inflation, a process whereby the energy of nothing gets converted into
the energy of something.
While Inflation demonstrates how nothing can effectively create something, the
discussion I have just given will not completely satisfy those who may feel that
creating something out of empty space which has energy stored in it, along with
laws of physics like general relativity mixed into the brew is not really creating
something, namely the universe in which we inhabit, from truly nothing. After all,
space exists before Inflation, as does energy, as does time.
Such people are correct. However, once again, as we expand our understanding
of nothing, we will see that Inflation can represent simply the tip of a cosmic iceberg
of nothingness.
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Dust to Dust, ashes to ashes..
The Common Book of Prayer.
The existence of energy in empty space—the discovery that rocked our
cosmological universe and the idea that forms the bedrock of Inflation—only
reinforces something about the quantum world that was already well established in
the context of the kinds of laboratory experiments I have also already described..
Empty space is complicated. It is a boiling brew of virtual particles that pop in and
out of existence in a time so short we cannot see them directly.
Virtual particles are manifestations of a basic property of quantum systems. At
the heart of Quantum Mechanics is a rule that sometimes governs politicians or
CEOs—as long as no one is watching, anything goes. Systems continue to move, if
just momentarily, between all possible states, including states that would not be
allowed if the system were actually being measured. These 'quantum fluctuations'
imply something essential about the quantum world: nothing is unstable. Nothing
always produces something, if only for an instant.
But here's the rub. The conservation of energy tells us that quantum systems can
only misbehave for so long. Like embezzling stockbrokers, if the state that a system
fluctuates into requires sneaking some energy from empty space, then the system has to
return that energy in a time short enough so that no one measuring the system can detect
it.
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As a result, one might presume to safely argue that this 'something' that is
produced by quantum fluctuations is ephemeral—not measurable, unlike, say you
or I or the Earth on which we live.
But this too is subject to the circumstances associated with our measurements.
For example, consider the electric field emanating from a charged object. It is
definitely real . You can feel the static electric force on your hair or watch a balloon
stick to a wall. However, in the quantum theory of electromagnetism suggests that
the static field is due to the emission, by the charged particles involved in producing
the field, of virtual photons that have essentially zero total energy. These virtual
particles, because they have zero energy, can propagate across the universe without
disappearing, and the field due to the superposition of many of them is so real it can
be felt.
Sometimes conditions are such so that real, massive particles can actually pop
out of empty space with impunity. One well-known example involves two charged
plates that are brought close together. Once the electric field gets strong enough
between them, it becomes energetically favorable for a real particle antiparticle pair
to 'pop' out of the vacuum, with the negative charge heading toward the positive
plate and the positive charge toward the negative one. In so doing, it is possible that
the reduction in energy by so reducing the electric field can be greater than the
energy associated with the rest mass of the two particles. Of course, the strength of
the field has to be huge in real life for such a condition to actually be possible.
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There is actually a place where strong fields of a different kind might allow a
phenomenon something like that described above to occur, but in this case due to
gravity. It is the case that made Stephen Hawking famous among physicists. He
showed in 1974 that it might be possible for black holes, out of which classically
nothing can ever escape, to actually radiate particles quantum mechanically.
There are many different ways to try and understand this phenomenon but one
of these is strikingly familiar to the situation I described above with electric fields.
Outside of the core of black holes is a radius, called the 'event horizon', inside of
which no object can classically escape, because the escape velocity exceeds the
speed of light. Thus, even light emitted inside of this region will not make it outside
of the event horizon.
Now, however, imagine a particle-antiparticle pair nucleates out of empty space
just outside of the event horizon, due to quantum fluctuations in that region. It is
possible, if one of the particles actually falls within the event horizon, for it to lose
enough gravitational energy by falling into the black hole that this energy exceeds
twice the rest mass of either particle. In this case, the partner particle can fly off to
infinity without any violation of energy conservation. The black hole can therefore
radiate particles!
The situation is even more interesting because since the infalling particle loses
more energy due to gravity than its rest mass contribution would be to the resulting
black hole plus the particle, the net system after the particle falls in actually has less
energy than it did before! Namely the particle being radiated out to infinity carries
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energy away from the black hole, and the black hole gets lighter as a result.
Eventually the black hole may radiate away entirely. At this point we do not know
because the final stages of black hole evaporation involve physics on scales where
quantum gravitational considerations become important, and where, therefore,
mere general relativity alone cannot tell us the final answer.
Nevertheless, what all of these phenomena imply is that under the right
conditions, not only can nothing become something, it is required to.
The first example I know of in cosmology of the fact that 'nothing' can be
unstable to forming something comes from efforts to understand why we live in a
universe of matter.
Most of you probably don't wake up each morning wondering about this, but the
fact that our universe contains matter, and essentially no antimatter, is remarkable.
Any sensible universe at its inception, one might think, would contain equal
amounts of both. After all, matter and antimatter both have the same mass. Only the
charges, and some other more subtle 'quantum numbers' of particles and
antiparticles may differ. What we call antimatter would be called, no doubt, in the
hypothetical antimatter universe I described earlier with anti-lovers and anti-
moons, matter. Such a universe would be almost indistinguishable from the one we
live in.
But if our universe began sensibly, with equal amounts of matter and antimatter,
and stayed that way, we wouldn't be around to ask 'why?', or 'how?'. This is because
all particles of matter would have annihilated with all particles of antimatter in the
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early universe, leaving nothing left but pure radiation. No matter or antimatter for
stars, or galaxies, or for lovers or antilovers who might otherwise one day gaze out
and be aroused by the spectacle of the night sky in each other's arms. No drama.
History would consist of emptiness, a radiation bath which would slowly cool,
leading ultimately to a cold, dark, hollow universe. Nothingness would reign
supreme.
However, we began to understand in the 1970's how it is possible for plausible
quantum processes to create something from nothing in this case—namely how a
small asymmetry could be established between matter and antimatter in the early
universe where none had existed before. This may sound like a small
accomplishment, but in my opinion, and indeed I have written about it as so, it might
as well be considered the moment of creation. Because once an asymmetry between
matter and antimatter was created, nothing could later put asunder. The future
history of a universe full of stars and galaxies was essentially written. For now,
antimatter particles would annihilate with the matter particles in the early universe,
but the remaining excess of matter particles due to the small asymmetry would be
unable to find any remaining antimatter to annihilate with, and as a result would
survive until the present day.
Even if the asymmetry were even 1 part in a billion there would be enough
matter left over to account for everything we see in the universe today. In fact, an
asymmetry of 1 part in a billion or so is precisely what was called for, because today
there are roughly 1 billion photons in the cosmic microwave background for every
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proton in the universe. The CMB photons are the remnants, in this picture, of the
early matter-antimatter annihilations near the beginning of time.
A definitive description of how this process may have happened in the early
universe is currently lacking because we have not yet fully empirically established
the detailed nature of the microphysical world at the scales where this asymmetry
was likely to have been generated. Nevertheless, a host of different plausible
scenarios have been explored based on the current best ideas we have about this
physics. While they differ in the details they all have the same general
characteristics. Quantum processes associated with either elementary particles in
the primordial heat bath, or more likely that help determine the quantum character
of empty space can inexorably drive either an empty universe or an initially matter-
antimatter symmetric universe almost imperceptibly toward a universe that will be
dominated by either antimatter or matter.
If it could go either way, was it just a circumstantial accident that our universe
became dominated by matter? Could it have gone the other way? Imagine standing
on top of a tall mountain and tripping. The direction you fall was not pre-ordained,
but rather is an accident, depending upon which direction you were looking at, or at
what point in your stride you trip. Perhaps our universe is like that, and the
fundamental parameter or parameters that determine the ultimate direction of the
asymmetry between matter and antimatter are randomly determined from some
underlying probability distribution, or perhaps not, and the fundamental underlying
physics only allows one value.
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Independent of this uncertainty, however, is the remarkable fact that there can
be a feature of the underlying laws of physics that can allows quantum processes to
drive the universe away from either an empty or featureless state. The physicist
Frank Wilczek, who was one of the first groups of theorists to explore these
possibilities, has reminded me that he utilized precisely the same language I have
used previously in this chapter, in the 1980 Scientific American article he wrote on
the matter-antimatter asymmetry of the universe: After describing how a matter-
antimatter asymmetry might be plausibly generated in the early universe based on
our new understanding of particle physics, he added a note that this provided one
way of thinking about the answer to the question of why there is something rather
than nothing: nothing is unstable.
While the instability Frank was referring to was quite specific, the central point
here is that such instabilities are a generic feature of the quantum universe, and, as I
shall now describe, can, in the context of the question we are trying to address here,
involve not just particles and fields within our universe, but our whole universe
itself.
Before I proceed, however, I am again reminded the similarities between the
discussion I have just given of a matter-antimatter asymmetry and the discussions I
we had at our recent Origins workshop to explore our current understanding of the
nature of, and origin of life in the universe. The words were different, but the
fundamental issues were remarkably similar: What specific physical process in the
early moments of the earth's history could have led to the creation of the first
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replicating biomolecules and metabolism? Here, as in the case of the 1970's in
physics, the recent decade has seen incredible progress. We learned of natural
organic pathways for example that could produce, under plausible conditions,
Ribonucleic acids, long thought to be the precursers to our modern DNA based
world. Until recently it was felt that no such direct pathway was possible and that
some other intermediate forms must play a key role.
So now few biochemists and molecular biologists doubt life can naturally arise
from non-life. The specific are yet to be discovered. But, as we discussed all of this
a common subtext permeated our proceedings: Did the life that first formed on
Earth have to have the chemistry that it did or are there many different, equally
viable possibilities?
Einstein once asked a question which he said was the one thing he really wanted
to know about nature, and I admit it is the most profound and fundamental question
that many of us would like answered. He put it as follows: "What I want to know is
whether God [sic) had any choice in the creation of the universe.".
I have annotated this because Einstein's God was not the God of the Bible. For
Einstein the existence of order in the universe provided a sense of such profound
wonder that he felt a spiritual attachment to it, which he labeled, motivated by
Spinoza by the moniker 'God'. In any case, what Einstein really meant in this
question was the issue I have just described in the context of several different
examples: Are the laws of nature (and the universe we inhabit that has resulted
from them) unique? If one changes one facet, one constant, one force, however
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slight, would the whole edifice crumble? (And so, in a biological sense„ is the
biology of life unique? Are we unique in the Universe?) We will return to discuss
this most important question later in this book.
While such a discussion will cause us to further refine and generalize notions of
'nothing' and 'something', I want to complete this chapter by taking an intermediate
step in making the case for inevitable creation of something.
As I have defined it thus far, the relevant 'nothing' from which our observed
something arises is 'empty space'. However once one allows for the merging of
quantum mechanics and general relativity, it is possible to extend this argument to
the case where space itself is forced into existence.
General Relativity as a theory of gravity is, at its heart, a theory of space and
time. As I described on the very first page of this book, this means that it was the
first theory that could address the dynamics not merely of objects moving through
space, but also how space itself evolves.
Having a quantum theory of gravity would therefore mean that the rules of
quantum mechanics would apply to the properties of space and not just to the
properties of objects existing in space, as in conventional quantum mechanics.
How to extend quantum mechanics to include such a possibility is tricky, but it
turns out that the formalism Richard Feynman developed which led to a modern
understanding of the origin of antiparticles is well suited to the task. Feynman's
methods focus on the key fact which I alluded to at the beginning of this chapter:
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that quantum mechanical systems explore, if briefly, all possible trajectories, even
ones which are classically forbidden, as they evolve in time.
In order to explore this Feynman developed a 'sum over paths formalism' to
make predictions. In this method one considers, for example, all possible
trajectories between two points that a particle might take. One then assigns a
probability to each trajectory, based on well-defined principles of quantum
mechanics, and then performs a sum over all paths in order to determine final
(probabilistic) predictions for the motion of particles.
Stephen Hawking was one of the first people to fully exploit this idea to the
possible quantum mechanics of space-time. The virtue of Feynman's methods was
that focusing on all possible paths ends up meaning that the results can be shown to
be independent of the specific labeling one applies to each space-time point on each
path. Because relativity tells us that different observers in relative motion can
assign different positions in space and time to points, having a formalism that was
independent of the different frames of reference for different observers was
particularly useful.
Nowhere more useful perhaps than in considerations of general relativity, where
the specific labeling of space and time points becomes completely arbitrary, and all
that ultimately determines the behavior of systems are geometric quantities like
curvature, that turn out to be independent of all such labeling schemes.
As I have alluded to several times, general relativity is not fully consistent with
quantum mechanics, at least as far as we can tell, and therefore there is no
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completely unambiguous method to define Feynman's sum over paths technique in
general relativity. Thus, one has to make some guesses in advance based on
plausibility, and check to see if the results make sense.
If one is to consider the quantum dynamics of space-time itself then, one must
imagine that in the Feynman 'sums', one must consider every different configuration
possible for space to occupy during the intermediate stages of the calculation, when
quantum indeterminacy reigns supreme. This means one must consider spaces with
arbitrarily curved surfaces on small scales, and many other configurations one
would not expect to actually observe when one measures the properties of space
over large distances and times.
But let's consider even stranger possibilities. Remember that in the quantum
theory of electromagnetism particles can pop out of empty space at will, as long as
they disappear again on a timeframe determined by the Uncertainty Principle. By
analogy, then, in the Feynman quantum sum over possible space-time
configurations should one consider the possibility of small, possibly compact spaces
that themselves pop in and out of existence? More generally, what about spaces
with different topologies? Should one allow arbitary 'handles' to be attached to
space, like donuts dunking into space-time?
These are frankly open questions. However, unless one can come up with a good
reason for excluding such configurations from the quantum mechanical sum that
determines the properties of the evolving universe, and to date no such good reason
exists that I know of, then under the general principle which holds everywhere else I
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know of in nature—namely that anything that is not proscribed by the laws of
physics must actually happen—it seems most reasonable to consider these
possibilities.
As Stephen Hawking has then emphasized, a quantum theory of gravity allows
for the creation, albeit perhaps momentarily, of space itself where none existed
before.
"Virtual" universes are fascinating theoretical constructs, but they would seem to
no more explain how something can arise from nothing than do the virtual particles
that populate otherwise empty space.
However, just as a non-zero real electric field can result from the unsuppressed
possible emission of zero-energy photons from a charge that can propagate out to
infinite distances, one can imagine one specific type of universe that should be
possible to spontaneously appear, and need not disappear. You guessed it: A
Universe with zero total energy!
Now, I would like nothing better than to suggest that this is precisely the
Universe we live in. This would be the easy way out, but I am more interested here
in being true to our current understanding of the Universe than to make an
apparently easy and convincing case for creating it from nothing.
I have argued, hopefully, compellingly, that the average Newtonian gravitational
energy of every object in our flat universe i
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