debate over the origins
and
PHYSICS OF TIME
by
DAN FALK
_____________________________________________________
Dan Falk is a journalist and author of The
Science of Shakespeare (St. Martin's Press), In
Search of Time and Universe on a T-Shirt.This article
orginally appeared in Quanta
Magazine. For more of Dan, visit his website: www.danfalk.ca
Time reduces as
it regulates,
space slanders as it separates,
beyond the pale of reason.
Pharaoh Lambert
According
to our best theories of physics, the universe is a fixed block
where time only appears to pass. Yet a number of physicists hope
to replace this block universe with a physical theory of time.
Einstein
once described his friend Michele Besso as “the best sounding
board in Europe” for scientific ideas. They attended university
together in Zurich; later they were colleagues at the patent office
in Bern. When Besso died in the spring of 1955, Einstein —
knowing that his own time was also running out — wrote a
now-famous letter to Besso’s family. “ . . . For us
believing physicists, the distinction between past, present and
future is only a stubbornly persistent illusion.”
Einstein’s
statement was not merely an attempt at consolation. Many physicists
argue that Einstein’s position is implied by the two pillars
of modern physics: Einstein’s masterpiece, the general theory
of relativity, and the Standard Model of particle physics. The
laws that underlie these theories are time-symmetric — that
is, the physics they describe is the same, regardless of whether
the variable called ‘time’ increases or decreases.
Moreover, they say nothing at all about the point we call now
— a special moment (or so it appears) for us, but seemingly
undefined when we talk about the universe at large. The resulting
timeless cosmos is sometimes called a ‘block universe’
— a static block of space-time in which any flow of time,
or passage through it, must presumably be a mental construct or
other illusion.
Many
physicists have made peace with the idea of a block universe,
arguing that the task of the physicist is to describe how the
universe appears from the point of view of individual observers.
To understand the distinction between past, present and future,
you have to “plunge into this block universe and ask: ‘How
is an observer perceiving time?’” asks Andreas Albrecht,
a physicist at the University of California, Davis, and one of
the founders of the theory of cosmic inflation.
Others
vehemently disagree, arguing that the task of physics is to explain
not just how time appears to pass, but why. For them, the universe
is not static. The passage of time is physical. “I’m
sick and tired of this block universe,” said Avshalom Elitzur,
a physicist and philosopher formerly of Bar-Ilan University. “I
don’t think that next Thursday has the same footing as this
Thursday. The future does not exist. It does not! Ontologically,
it’s not there.”
Recently,
about 60 physicists, along with a handful of philosophers and
researchers from other branches of science, gathered at the Perimeter
Institute for Theoretical Physics in Waterloo, Canada, to debate
this question at the Time in Cosmology conference. The conference
was co-organized by the physicist Lee Smolin, an outspoken critic
of the block-universe idea (among other topics). His position
is spelled out for a lay audience in Time Reborn and in a more
technical work, The Singular Universe and the Reality of Time,
co-authored with the philosopher Roberto Mangabeira Unger, who
was also a co-organizer of the conference. In the latter work,
mirroring Elitzur’s sentiments about the future’s
lack of concreteness, Smolin wrote: “The future is not now
real and there can be no definite facts of the matter about the
future.” What is real is “the process by which future
events are generated out of present events,” he said at
the conference.
Those
in attendance wrestled with several questions: the distinction
between past, present and future; why time appears to move in
only one direction; and whether time is fundamental or emergent.
Most of those issues, not surprisingly, remained unresolved. But
for four days, participants listened attentively to the latest
proposals for tackling these questions — and, especially,
to the ways in which we might reconcile our perception of time’s
passage with a static, seemingly timeless universe.
TIME
SWEPT UNDER THE RUG
There
are a few things that everyone agrees on. The directionality that
we observe in the macroscopic world is very real: Teacups shatter
but do not spontaneously reassemble; eggs can be scrambled but
not unscrambled. Entropy — a measure of the disorder in
a system — always
increases, a fact encoded in the second law of thermodynamics.
As the Austrian physicist Ludwig Boltzmann understood in the 19th
century, the second law explains why events are more likely to
evolve in one direction rather than another. It accounts for the
arrow of time.
But things
get trickier when we step back and ask why we happen to live in
a universe where such a law holds. “What Boltzmann truly
explained is why the entropy of the universe will be larger tomorrow
than it is today,” said Sean Carroll, a physicist at the
California Institute of Technology, as we sat in a hotel bar after
the second day of presentations. “But if that was all you
knew, you’d also say that the entropy of the universe was
probably larger yesterday than today — because all the underlying
dynamics are completely symmetric with respect to time.”
That is, if entropy is ultimately based on the underlying laws
of the universe, and those laws are the same going forward and
backward, then entropy is just as likely to increase going backward
in time. But no one believes that entropy actually works that
way. Scrambled eggs always come after whole eggs, never the other
way around.
To make
sense of this, physicists have proposed that the universe began
in a very special low-entropy state. In this view, which the Columbia
University philosopher of physics David Albert named the ‘past
hypothesis,’ entropy increases because the Big Bang happened
to produce an exceptionally low-entropy universe. There was nowhere
to go but up. The past hypothesis implies that every time we cook
an egg, we’re taking advantage of events that happened nearly
14 billion years ago. “What you need the Big Bang to explain
is: ‘Why were there ever unbroken eggs?’” Carroll
said.
Some
physicists are more troubled than others by the past hypothesis.
Taking things we don’t understand about the physics of today’s
universe and saying the answer can be found in the Big Bang could
be seen, perhaps, as passing the buck — or as sweeping our
problems under the carpet. Every time we invoke initial conditions,
“the pile of things under the rug gets bigger,” said
Marina Cortes, a cosmologist at the Royal Observatory in Edinburgh
and a co-organizer of the conference.
To Smolin,
the past hypothesis feels more like an admission of failure than
a useful step forward. As he puts it in The Singular Universe:
“The fact to be explained is why the universe, even 13.8
billion years after the Big Bang, has not reached equilibrium,
which is by definition the most probable state, and it hardly
suffices to explain this by asserting that the universe started
in an even less probable state than the present one.”
Other
physicists, however, point out that it’s normal to develop
theories that can describe a system given certain initial conditions.
A theory needn’t strive to explain those conditions.
Another
set of physicists think that the past hypothesis, while better
than nothing, is more likely to be a placeholder than a final
answer. Perhaps, if we’re lucky, it will point the way to
something deeper. “Many people say that the past hypothesis
is just a fact, and there isn’t any underlying way to explain
it. I don’t rule out that possibility,” Carroll said.
“To me, the past hypothesis is a clue to help us develop
a more comprehensive view of the universe.”
THE ALTERNATIVE
ORIGINS OF TIME
Can the
arrow of time be understood without invoking the past hypothesis?
Some physicists argue that gravity — not thermodynamics
— aims time’s arrow. In this view, gravity causes
matter to clump together, defining an arrow of time that aligns
itself with growth of complexity, said Tim Koslowski, a physicist
at the National Autonomous University of Mexico. Koslowski and
his colleagues developed simple models of universes made up of
1,000 pointlike particles, subject only to Newton’s law
of gravitation, and found that there will always be a moment of
maximum density and minimum complexity. As one moves away from
that point, in either direction, complexity increases. Naturally,
we — complex creatures capable of making observations —
can only evolve at some distance from the minimum. Still, wherever
we happen to find ourselves in the history of the universe, we
can point to an era of less complexity and call it the past, Koslowski
said. The models are globally time-symmetric, but every observer
will experience a local arrow of time. It’s significant
that the low-entropy starting point isn’t an add-on to the
model. Rather, it emerges naturally from it. “Gravity essentially
eliminates the need for a past hypothesis,” Koslowski said.
The idea
that time moves in more than one direction, and that we just happen
to inhabit a section of the cosmos with a single, locally defined
arrow of time, isn’t new. Back in 2004, Carroll, along with
his graduate student Jennifer Chen, put forward a similar proposal
based on eternal inflation, a relatively well-known model of the
beginning of the universe. Carroll sees the work of Koslowski
and his colleagues as a useful step, especially since they worked
out the mathematical details of their model (he and Chen did not).
Still, he has some concerns. For example, he said it’s not
clear that gravity plays as important a role as their paper claims.
“If you just had particles in empty space, you’d get
exactly the same qualitative behaviour,” he said.
Increasing
complexity, Koslowski said, has one crucial side effect: It leads
to the formation of certain arrangements of matter that maintain
their structure over time. These structures can store information;
Koslowski calls them ‘records.’ Gravity is the first
and primary force that makes record formation possible; other
processes then give rise to everything from fossils and tree rings
to written documents. What all of these entities have in common
is that they contain information about some earlier state of the
universe. I asked Koslowski if memories stored in brains are another
kind of record. Yes, he said. “Ideally we would be able
to build ever more complex models, and come eventually to the
memory in my phone, the memory in my brain, in history books.”
A more complex universe contains more records than a less complex
universe, and this, Koslowski said, is why we remember the past
but not the future.
But perhaps time is even more fundamental than this. For George
Ellis, a cosmologist at the University of Cape Town in South Africa,
time is a more basic entity, one that can be understood by picturing
the block universe as itself evolving. In his “evolving
block universe” model, the universe is a growing volume
of space-time. The surface of this volume can be thought of as
the present moment. The surface represents the instant where “the
indefiniteness of the future changes to the definiteness of the
past,” as he described it. “Space-time itself is growing
as time passes.” One can discern the direction of time by
looking at which part of the universe is fixed (the past) and
which is changing (the future). Although some colleagues disagree,
Ellis stresses that the model is a modification, not a radical
overhaul, of the standard view. “This is a block universe
with dynamics covered by the general-relativity field equations
— absolutely standard — but with a future boundary
that is the ever-changing present,” he said. In this view,
while the past is fixed and unchangeable, the future is open.
The model “obviously represents the passing of time in a
more satisfactory way than the usual block universe,” he
said.
Unlike
the traditional block view, Ellis’s picture appears to describe
a universe with an open future — seemingly in conflict with
a law-governed universe in which past physical states dictate
future states. (Although quantum uncertainty, as Ellis pointed
out, may be enough to sink such a deterministic view). At the
conference, someone asked Ellis if, given enough information about
the physics of a sphere of a certain radius centered on the British
Midlands in early June, one could have predicted the result of
the Brexit vote. “Not using physics,” Ellis replied.
For that, he said, we’d need a better understanding of how
minds work.
Another
approach that aims to reconcile the apparent passage of time with
the block universe goes by the name of causal set theory. First
developed in the 1980s as an approach to quantum gravity by the
physicist Rafael Sorkin — who was also at the conference
— the theory is based on the idea that space-time is discrete
rather than continuous. In this view, although the universe appears
continuous at the macroscopic level, if we could peer down to
the so-called Planck scale (distances of about 10–35 meters)
we’d discover that the universe is made up of elementary
units or atoms of space-time. The atoms form what mathematicians
call a ‘partially ordered set’ — an array in
which each element is linked to an adjacent element in a particular
sequence. The number of these atoms (estimated to be a whopping
10240 in the visible universe) gives rise to the volume of space-time,
while their sequence gives rise to time. According to the theory,
new space-time atoms are continuously coming into existence. Fay
Dowker, a physicist at Imperial College London, referred to this
at the conference as ‘accretive time.’ She invited
everyone to think of space-time as accreting new space-time atoms
in way roughly analogous to a seabed depositing new layers of
sediment over time. General relativity yields only a block, but
causal sets seem to allow a ‘becoming,’ she said.
“The block universe is a static thing — a static picture
of the world — whereas this process of becoming is dynamical.”
In this view, the passage of time is a fundamental rather than
an emergent feature of the cosmos. (Causal set theory has made
at least one successful prediction about the universe, Dowker
pointed out, having been used to estimate the value of the cosmological
constant based only on the space-time volume of the universe).
THE PROBLEM WITH THE FUTURE
In the
face of these competing models, many thinkers seem to have stopped
worrying and learned to love (or at least tolerate) the block
universe.
Perhaps
the strongest statement made at the conference in favour of the
block universe’s compatibility with everyday experience
came from the philosopher Jenann Ismael of the University of Arizona.
The way Ismael sees it, the block universe, properly understood,
holds within it the explanation for our experience of time’s
apparent passage. A careful look at conventional physics, supplemented
by what we’ve learned in recent decades from cognitive science
and psychology, can recover “the flow, the whoosh, of experience,”
she said. In this view, time is not an illusion — in fact,
we experience it directly. She cited studies that show that each
moment we experience represents a finite interval of time. In
other words, we don’t infer the flow of time; it’s
part of the experience itself. The challenge, she said, is to
frame this first-person experience within the static block offered
by physics — to examine “how the world looks from
the evolving frame of reference of an embedded perceiver”
whose history is represented by a curve within the space-time
of the block universe.
Ismael’s
presentation drew a mixed response. Carroll said he agreed with
everything she had said; Elitzur said he “wanted to scream”
during her talk. (He later clarified: “If I bang my head
against the wall, it’s because I hate the future”).
An objection voiced many times during the conference was that
the block universe seems to imply, in some important way, that
the future already exists, yet statements about, say, next Thursday’s
weather are neither true nor false. For some, this seems like
an insurmountable problem with the block-universe view. Ismael
had heard these objections many times before. Future events exist,
she said, they just don’t exist now. “The block universe
is not a changing picture,” she said. “It’s
a picture of change.” Things happen when they happen. “This
is a moment — and I know everybody here is going to hate
this — but physics could do with some philosophy,”
she said. “There’s a long history of discussion about
the truth-values of future contingent statements — and it
really has nothing to do with the experience of time.” And
for those who wanted to read more? “I recommend Aristotle,”
she said.