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