# Beyond Einstein

## Physicists develop new theory to answer fundamental questions about black holes

12/20/2018

BATON ROUGE – When stars collapse, they can create black holes, which are everywhere
throughout the universe and therefore important to be studied. Black holes are mysterious
objects with an outer edge called an event horizon, which traps everything including
light. Einstein’s theory of general relativity predicted that once an object falls
inside an event horizon, it ends up at the center of the black hole called a singularity
where it is completely crushed. At this point of singularity, gravitational attraction
is infinite and all known laws of physics break down including Einstein’s theory.
Theoretical physicists have been questioning if singularities really exist through
complex mathematical equations over the past several decades with little success until
now. LSU Department of Physics & Astronomy Associate Professor Parampreet Singh and
collaborators LSU Postdoctoral Researcher Javier Olmedo and Abhay Ashtekar, the Eberly
Professor of Physics at Penn State developed new mathematical equations that go beyond
Einstein’s theory of general relativity overcoming its key limitation—the central
singularity of black holes. This research was published recently in Physical Review Letters and Physical Review D and was highlighted by the editors of the American Physical Society.

Theoretical physicists developed a theory called loop quantum gravity in the 1990s
that marries the laws of microscopic physics, or quantum mechanics, with gravity,
which explains the dynamics of space and time. Ashtekar, Olmedos and Singh’s new equations
describe black holes in loop quantum gravity and showed that black hole singularity
does not exist.

“In Einstein’s theory, space-time is a fabric that can be divided as small as we want.
This is essentially the cause of the singularity where the gravitational field becomes
infinite. In loop quantum gravity, the fabric of space-time has a tile-like structure,
which cannot be divided beyond the smallest tile. My colleagues and I have shown that
this is the case inside black holes and therefore there is no singularity,” Singh
said.

Instead of singularity, loop quantum gravity predicts a funnel to another branch of
the space-time.

“These tile-like units of geometry—called ‘quantum excitations’— which resolve the
singularity problem are orders of magnitude smaller than we can detect with today’s
technology, but we have precise mathematical equations that predict their behavior,”
said Ashtekar, who is one of the founding fathers of loop quantum gravity.

“At LSU, we have been developing state-of-the-art computational techniques to extract
physical consequences of these physical equations using supercomputers, bringing us
closer to reliably test quantum gravity,” Singh said.

Einstein’s theory fails not only at the center of the black holes but also to explain
how the universe was created from the Big Bang singularity. Therefore, a decade ago,
Ashtekar, Singh and collaborators began to extend physics beyond the Big Bang and
make new predictions using loop quantum gravity. Using the mathematical equations
and computational techniques of loop quantum gravity, they showed that the Big Bang
is replaced by the “Big Bounce.” But, the problem of overcoming black hole singularity
is exceptionally complex.

“The fate of black holes in a quantum theory of gravity is, in my view, the most important
problem in theoretical physics,” said Jorge Pullin, the Horace Hearne professor of
theoretical physics at LSU, who was not part of this study.

The research was supported by the U.S. National Science Foundation, the Urania Stott
Fund of the Pittsburgh Foundation, the Penn State Eberly College of Science and the
Ministry of Economy and Competitiveness, or MINECO, in Spain.

**Additional Links:**

Quantum Transfiguration of Kruskal Black Holes, Physical Review Letters: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.241301

Quantum extension of the Kruskal spacetime, Physical Review D: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.126003

Contact Alison Satake

LSU Media Relations

225-578-3870

asatake@lsu.edu