We would like to be able to judge the correctness of a new
fundamental theory by making measurements of what happens at
scales 10 million billion times smaller than those probed in
today's laboratories, but this may always be impossible. With
any technology we can now imagine, measurements like those would
take more than the economic resources of the whole human race.
Even without new experiments, it may be possible to judge a
final theory by whether it explains all the apparently arbitrary
aspects of the standard model. But there are explanations and
explanations. We would not be satisfied with a theory that
explains the standard model in terms of something complicated
and arbitrary, in the way astronomers before Copernicus
explained the motions of planets by piling epicycles upon
epicycles.
To qualify as an explanation, a fundamental theory has to be
simplenot necessarily a few short equations, but equations
that are based on a simple physical principle, in the way that
the equations of general relativity are based on the principle
that gravitation is an effect of the curvature of space-time.
And the theory also has to be compellingit has to give us the
feeling that it could scarcely be different from what it is.
When at last we have a simple, compelling, mathematically
consistent theory of gravitation and other forces that explains
all the apparently arbitrary features of the standard model, it
will be a good bet that this theory really is final. Our
description of nature has become increasingly simple. More and
more is being explained by fewer and fewer fundamental
principles. But simplicity can't increase without limit. It
seems likely that the next major theory that we settle on will
be so simple that no further simplification would be possible.
The discovery of a final theory is not going to help us cure
cancer or understand consciousness, however. We probably already
know all the fundamental physics we need for these tasks. The
branch of science in which a final theory is likely to have its
greatest impact is cosmology. We have pretty good confidence in
the ability of the standard model to trace the present expansion
of the universe back to about a billionth of a second after its
start.
But when we try to understand what happened earlier than that,
we run into the limitations of the model, especially its silence
on the behavior of gravitation at very short distances. The
final theory will let us answer the deepest questions of
cosmology: Was there a beginning to the present expansion of the
universe? What determined the conditions at the beginning? And
is what we call our universe, the expanding cloud of matter and
radiation extending billions of light-years in all directions,
really all there is, or is it only one part of a much larger
universe in which the expansion we see is just a local episode?
The discovery of a final theory could have a cultural influence
as well, one comparable to what was felt at the birth of modern
science. It has been said that the spread of the scientific
spirit in the 17th and 18th centuries was one of the things that
stopped the burning of witches. Learning how the universe is
governed by the impersonal principles of a final theory may not
end mankind's persistent superstitions, but at least it will
leave them a little less room.
Steven Weinberg is a Nobel laureate in physics at the University
of Texas. His books include Dreams of a Final Theory
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