A ten-dimensional theory of gravity makes the same predictions as standard quantum physics in fewer dimensions.
A team of physicists has provided some of the clearest evidence yet that our Universe could be just one big projection.
In 1997, theoretical physicist Juan Maldacena proposed
that an audacious model of the Universe in which gravity arises from
infinitesimally thin, vibrating strings could be reinterpreted in terms
of well-established physics. The mathematically intricate world of
strings, which exist in nine dimensions of space plus one of time, would
be merely a hologram: the real action would play out in a simpler,
flatter cosmos where there is no gravity.
Maldacena's
idea thrilled physicists because it offered a way to put the popular
but still unproven theory of strings on solid footing — and because it
solved apparent inconsistencies between quantum physics and Einstein's
theory of gravity. It provided physicists with a mathematical Rosetta
stone, a 'duality', that allowed them to translate back and forth
between the two languages, and solve problems in one model that seemed
intractable in the other and vice versa. But although the validity of
Maldacena's ideas has pretty much been taken for granted ever since, a
rigorous proof has been elusive.
In two papers posted on the arXiv repository, Yoshifumi Hyakutake of
Ibaraki University in Japan and his colleagues now provide, if not an
actual proof, at least compelling evidence that Maldacena’s conjecture
is true.
In one paper,
Hyakutake computes the internal energy of a black hole, the position of
its event horizon (the boundary between the black hole and the rest of
the Universe), its entropy and other properties based on the predictions
of string theory as well as the effects of so-called virtual particles
that continuously pop into and out of existence. In the other,
he and his collaborators calculate the internal energy of the
corresponding lower-dimensional cosmos with no gravity. The two computer
calculations match.
“It seems to be a correct
computation,” says Maldacena, who is now at the Institute for Advanced
Study in Princeton, New Jersey and who did not contribute to the team's
work.
Regime change
The
findings “are an interesting way to test many ideas in quantum gravity
and string theory”, Maldacena adds. The two papers, he notes, are the
culmination of a series of articles contributed by the Japanese team
over the past few years. “The whole sequence of papers is very nice
because it tests the dual [nature of the universes] in regimes where
there are no analytic tests.”
“They have
numerically confirmed, perhaps for the first time, something we were
fairly sure had to be true, but was still a conjecture — namely that the
thermodynamics of certain black holes can be reproduced from a
lower-dimensional universe,” says Leonard Susskind, a theoretical
physicist at Stanford University in California who was among the first
theoreticians to explore the idea of holographic universes.
Neither
of the model universes explored by the Japanese team resembles our own,
Maldacena notes. The cosmos with a black hole has ten dimensions, with
eight of them forming an eight-dimensional sphere. The
lower-dimensional, gravity-free one has but a single dimension, and its
menagerie of quantum particles resembles a group of idealized springs,
or harmonic oscillators, attached to one another.
Nevertheless,
says Maldacena, the numerical proof that these two seemingly disparate
worlds are actually identical gives hope that the gravitational
properties of our Universe can one day be explained by a simpler cosmos
purely in terms of quantum theory.
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