The figure represents our expanding universe as the right branch
of the arc. Our time now is located at the 1.8 grid mark on the
right side of the drawing. According to Ashtekar's team's
calculations, when looking backward throughout the history of
the universe, 'time' does not go to the point of the Big Bang
but bounces to the left branch of the drawing, which describes a
contracting universe. Singh explains, "The state of the universe
depicted by its wavefunction is shown in space (\mu) and
time(\phi). The big bang singularity lies where space vanishes
(goes to zero). Our expanding phase of the universe is shown by
the right branch which, when reversed backward in time, bounces
near the Big Bang to a contracting phase (left branch) and never
reaches the Big Bang."
According to Einstein’s general theory of relativity, the Big
Bang represents The Beginning, the grand event at which not only
matter but space-time itself was born. While classical theories
offer no clues about existence before that moment, a research team
at Penn State has used quantum gravitational calculations to find
threads that lead to an earlier time.
General
relativity can be used to describe the universe back to a point at
which matter becomes so dense that its equations don’t hold up,”
says Abhay Ashtekar, Holder of the Eberly Family Chair in Physics
and Director of the Institute for Gravitational Physics and Geometry
at Penn State. “Beyond that point, we needed to apply quantum tools
that were not available to Einstein.” By combining quantum physics
with general relativity, Ashtekar and two of his post-doctoral
researchers, Tomasz Pawlowski and Parmpreet Singh, were able to
develop a model that traces through the Big Bang to a shrinking
universe that exhibits physics similar to ours.
In research reported in the current issue of Physical
Review Letters, the team shows that, prior to the Big Bang,
there was a contracting universe with space-time geometry that
otherwise is similar to that of our current expanding universe. As
gravitational forces pulled this previous universe inward, it
reached a point at which the quantum properties of space-time cause
gravity to become repulsive, rather than attractive.
“Using quantum modifications of Einstein’s cosmological equations,
we have shown that in place of a classical Big Bang there is in fact
a quantum Bounce,” says Ashtekar. “We were so surprised by the
finding that there is another classical, pre-Big Bang universe that
we repeated the simulations with different parameter values over
several months, but we found that the Big Bounce scenario is
robust.”
While the
general idea of another universe existing prior to the Big Bang has
been proposed before, this is the first mathematical description
that systematically establishes its existence and deduces properties
of space-time geometry in that universe.
The research team used loop quantum gravity, a leading approach to
the problem of the unification of general relativity with quantum
physics, which also was pioneered at the Penn State Institute of
Gravitational Physics and Geometry. In this theory, space-time
geometry itself has a discrete 'atomic' structure and the familiar
continuum is only an approximation. The fabric of space is literally
woven by one-dimensional quantum threads. Near the Big-Bang, this
fabric is violently torn and the quantum nature of geometry becomes
important. It makes gravity strongly repulsive, giving rise to the
Big Bounce.
"Our initial
work assumes a homogenous model of our universe," says Ashtekar.
"However, it has given us confidence in the underlying ideas of loop
quantum gravity. We will continue to refine the model to better
portray the universe as we know it and to better understand the
features of quantum gravity."
Source: Penn
State