# Dr. Arlie O. Petters

The New Scientist article*Satellite could open door on extra dimension*said

An exotic theory, which attempts to unify the laws of physics by proposing the existence of an extra fourth spatial dimension, could be tested using a satellite to be launched in 2007.

Such theories are notoriously difficult to test. But a new study suggests that such hidden dimensions could give rise to thousands of mini-black holes within our own solar system — and the theory could be tested within Pluto’s orbit in just a few years…

Now, Keeton and colleague Arlie Petters at Duke University in North Carolina, US, have calculated how many of these tiny black holes should exist — and how they might be detected – according to an offshoot of string theory.

The theory they use, called the Randall-Sundrum braneworld model, proposes that the 3D universe we live in is floating within a larger universe with an extra spatial dimension.

The PhysOrg.com article
*Scientists Predict How to Detect a Fourth Dimension of Space*
said

Scientists at Duke and Rutgers universities have developed a mathematical framework they say will enable astronomers to test a new five-dimensional theory of gravity that competes with Einstein’s General Theory of Relativity.

Charles R. Keeton of Rutgers and Arlie O. Petters of Duke base their work on a recent theory called the type II Randall-Sundrum braneworld gravity model. The theory holds that the visible universe is a membrane (hence “braneworld”) embedded within a larger universe, much like a strand of filmy seaweed floating in the ocean. The “braneworld universe” has five dimensions — four spatial dimensions plus time — compared with the four dimensions — three spatial, plus time — laid out in the General Theory of Relativity.

The framework Keeton and Petters developed predicts certain cosmological effects that, if observed, should help scientists validate the braneworld theory. The observations, they said, should be possible with satellites scheduled to launch in the next few years.

Dr. Arlie O. Petters is President and Founder of the
Petters Research
Institute, Belize, and is Professor of Mathematics and Physics at
Duke University. Born and raised in Dangriga,
Belize, he emigrated to
the U.S.A.
in 1979, where he has had a stellar academic career including having been
on
the faculty at
MIT and
Princeton University, and a visiting professor at
Harvard University,
Oxford University, and
The Max Planck Institute for Astrophysics.
He is on the
Board of Trustees for the
Institute of Pure and Applied Mathematics (IPAM), and on the
Board of Governors of the
Institute of Mathematics and its Applications (IMA).

Arlie earned his B.A. and M.A. in Mathematics and Physics from
Hunter
College in 1986 and his
Ph.D. in Mathematics from MIT in 1991 and was
the first to develop the mathematical theory of
gravitational lensing. He
also pioneered applications of gravitational lensing in physics,
predicting effects that probe the nature of spacetime around black holes.
He has received numerous awards for his research, including an
Alfred P. Sloan Fellowship, a
National Science Foundation Career Award,
and the
first
Blackwell-Tapia Prize in the Mathematical Sciences. In addition,
the
National Academy of Sciences honored him by inducting him in 2006
into its
Portrait Collection of Distinguished African American
Scientists. His portrait is on permanent display at the
National Academies Keck Center in Washington, DC.

He coauthored the book
*Singularity Theory and Gravitational Lensing*, and the papers
*Formalism for testing theories of gravity using lensing by compact
objects. III: Braneworld gravity* in Physical Review D,
*Wavefront Singularities due to an Elliptical Potential*
and
*Center of Light Curves for Whitney Fold and Cusp*
in
Proceedings of the Ninth Marcel Grossmann Meeting on General
Relativity, and
*Properties of Point Mass Lenses On A Regular Polygon and The Problem
of
Maximum Number of Images* in
Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity.
Read the
full
list of his publications!

Read Arlie’s interview in the
New
York Times.
Read his interview by
Dennis
Meredith.
Watch his lecture on
Gravitational lensing: Universal properties and applications
given at the 2002 Blackwell-Tapia Conference at
Mathematical Sciences Research Institute (MSRI).