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From the College of Natural Sciences

AUSTIN, Texas—For decades, many scientists have criticized string theory, pointing out that it does not make predictions by which it can be tested. Now, researchers at Carnegie Mellon University, the University of California, San Diego and The University of Texas at Austin have developed a test of string theory.

Their test, described in the Jan. 26 Physical Review Letters L, involves measurements of how elusive high-energy particles scatter during particle collisions. Most physicists believe collisions will be observable at the Large Hadron Collider (LHC), which is set to turn on later this year at the European Laboratory for Particle Physics, commonly known as CERN.

String theory attempts to unify nature’s four fundamental forces (gravity, electromagnetism, and the strong and weak forces) by positing that everything at the most basic level consists of strands of energy that vibrate at various rates and in multiple, undiscovered dimensions. These “strings” produce all known forces and particles in the universe, thus reconciling Einstein’s theory of general relativity (the large) with quantum mechanics (the small).

“Our work shows that, in principle, string theory can be tested in a non-trivial way,” explained Ira Rothstein, co-author of the paper and professor of physics at Carnegie Mellon.

Rothstein and colleagues Jacques Distler, professor of physics at The University of Texas at Austin; Benjamin Grinstein, professor of physics at the University of California, San Diego; and Carnegie Mellon graduate student Rafael Porto developed their test based on studies of how strongly W bosons scatter in high-energy particle collisions generated within a particle accelerator. W bosons are special because they carry a property called the weak force, which provides a fundamental way for particles to interact with one another.

When the LHC turns on later this year, scientists will begin to investigate the scattering of W bosons, which has not been possible with other particle accelerators. Because the new test follows from a measurement of W boson scattering, it could eventually be performed at the LHC, according to the authors.

“The beauty of our test is the simplicity of its assumptions,” explained Grinstein. “The canonical forms of string theory include three mathematical assumptions—Lorentz invariance (the laws of physics are the same for all uniformly moving observers), analyticity (a smoothness criteria for the scattering of high-energy particles after a collision) and unitarity (all probabilities always add up to one). Our test sets bounds on these assumptions.

“If the test does not find what the theory predicts about W boson scattering, it would be evidence that one of string theory’s key mathematical assumptions is violated. In other words, string theory—as articulated in its current form—would be proven impossible.”

“If the bounds are satisfied, we would still not know that string theory is correct,” said Distler. “But, if the bounds are violated, we would know that string theory, as it is currently understood, could not be correct. At the very least, the theory would have to be reshaped in a highly nontrivial way.”

Proponents say string theory is elegant and beautiful. Dissenters argue it does not make predictions that be tested experimentally, so the theory cannot be proven or falsified. And no particle accelerator yet exists that can attain the high energies needed to detect strings. Because of this technical limitation, tests of string theory have remained elusive until now.

“Since we don’t have a complete understanding of string theory, it’s impossible to rule out all possible models that are based on strings,” Rothstein said. “However, most string theory models are based upon certain mathematical assumptions, and what we’ve shown is that such string theories have some definite predictions that can be tested.”

Their test, described in the Jan. 26 Physical Review Letters L, involves measurements of how elusive high-energy particles scatter during particle collisions. Most physicists believe collisions will be observable at the Large Hadron Collider (LHC), which is set to turn on later this year at the European Laboratory for Particle Physics, commonly known as CERN.

String theory attempts to unify nature’s four fundamental forces (gravity, electromagnetism, and the strong and weak forces) by positing that everything at the most basic level consists of strands of energy that vibrate at various rates and in multiple, undiscovered dimensions. These “strings” produce all known forces and particles in the universe, thus reconciling Einstein’s theory of general relativity (the large) with quantum mechanics (the small).

“Our work shows that, in principle, string theory can be tested in a non-trivial way,” explained Ira Rothstein, co-author of the paper and professor of physics at Carnegie Mellon.

Rothstein and colleagues Jacques Distler, professor of physics at The University of Texas at Austin; Benjamin Grinstein, professor of physics at the University of California, San Diego; and Carnegie Mellon graduate student Rafael Porto developed their test based on studies of how strongly W bosons scatter in high-energy particle collisions generated within a particle accelerator. W bosons are special because they carry a property called the weak force, which provides a fundamental way for particles to interact with one another.

When the LHC turns on later this year, scientists will begin to investigate the scattering of W bosons, which has not been possible with other particle accelerators. Because the new test follows from a measurement of W boson scattering, it could eventually be performed at the LHC, according to the authors.

“The beauty of our test is the simplicity of its assumptions,” explained Grinstein. “The canonical forms of string theory include three mathematical assumptions—Lorentz invariance (the laws of physics are the same for all uniformly moving observers), analyticity (a smoothness criteria for the scattering of high-energy particles after a collision) and unitarity (all probabilities always add up to one). Our test sets bounds on these assumptions.

“If the test does not find what the theory predicts about W boson scattering, it would be evidence that one of string theory’s key mathematical assumptions is violated. In other words, string theory—as articulated in its current form—would be proven impossible.”

“If the bounds are satisfied, we would still not know that string theory is correct,” said Distler. “But, if the bounds are violated, we would know that string theory, as it is currently understood, could not be correct. At the very least, the theory would have to be reshaped in a highly nontrivial way.”

Proponents say string theory is elegant and beautiful. Dissenters argue it does not make predictions that be tested experimentally, so the theory cannot be proven or falsified. And no particle accelerator yet exists that can attain the high energies needed to detect strings. Because of this technical limitation, tests of string theory have remained elusive until now.

“Since we don’t have a complete understanding of string theory, it’s impossible to rule out all possible models that are based on strings,” Rothstein said. “However, most string theory models are based upon certain mathematical assumptions, and what we’ve shown is that such string theories have some definite predictions that can be tested.”

## Comments 1

Dear Sirs,

I have some enquiries and hoping to get responses here. My name is Marwan, I finished Master's degree in Science on Theoretical Physics 2010. I have granted a scholarship to study PhD in US and wondering if UTEXAS at Austin have team working on Theoretical Nuclear Physics specially on Electron/Proton scattering.

E-mail: marwan.a.hasan@gmail.com