A Jewel at the Heart of Quantum Physics
2013-09-20 0:00

By Natalie Wolchover | Quanta Magazine



Physicists have discovered a jewel-like geometric object that dramatically simplifies calculations of particle interactions and challenges the notion that space and time are fundamental components of reality.

“This is completely new and very much simpler than anything that has been done before,” said Andrew Hodges, a mathematical physicist at Oxford University who has been following the work.

The revelation that particle interactions, the most basic events in nature, may be consequences of geometry significantly advances a decades-long effort to reformulate quantum field theory, the body of laws describing elementary particles and their interactions. Interactions that were previously calculated with mathematical formulas thousands of terms long can now be described by computing the volume of the corresponding jewel-like “amplituhedron,” which yields an equivalent one-term expression.

“The degree of efficiency is mind-boggling,” said Jacob Bourjaily, a theoretical physicist at Harvard University and one of the researchers who developed the new idea. “You can easily do, on paper, computations that were infeasible even with a computer before.”


Artist’s rendering of the amplituhedron, a newly discovered mathematical object resembling a multifaceted jewel in higher dimensions. Encoded in its volume are the most basic features of reality that can be calculated — the probabilities of outcomes of particle interactions.

The new geometric version of quantum field theory could also facilitate the search for a theory of quantum gravity that would seamlessly connect the large- and small-scale pictures of the universe. Attempts thus far to incorporate gravity into the laws of physics at the quantum scale have run up against nonsensical infinities and deep paradoxes. The amplituhedron, or a similar geometric object, could help by removing two deeply rooted principles of physics: locality and unitarity.

“Both are hard-wired in the usual way we think about things,” said Nima Arkani-Hamed, a professor of physics at the Institute for Advanced Study in Princeton, N.J., and the lead author of the new work, which he is presenting in talks and in a forthcoming paper. “Both are suspect.”

Locality is the notion that particles can interact only from adjoining positions in space and time. And unitarity holds that the probabilities of all possible outcomes of a quantum mechanical interaction must add up to one. The concepts are the central pillars of quantum field theory in its original form, but in certain situations involving gravity, both break down, suggesting neither is a fundamental aspect of nature.

In keeping with this idea, the new geometric approach to particle interactions removes locality and unitarity from its starting assumptions. The amplituhedron is not built out of space-time and probabilities; these properties merely arise as consequences of the jewel’s geometry. The usual picture of space and time, and particles moving around in them, is a construct.

“It’s a better formulation that makes you think about everything in a completely different way,” said David Skinner, a theoretical physicist at Cambridge University.

The amplituhedron itself does not describe gravity. But Arkani-Hamed and his collaborators think there might be a related geometric object that does. Its properties would make it clear why particles appear to exist, and why they appear to move in three dimensions of space and to change over time.

Because “we know that ultimately, we need to find a theory that doesn’t have” unitarity and locality, Bourjaily said, “it’s a starting point to ultimately describing a quantum theory of gravity.”

[...]

Read the full article at: simonsfoundation.org



Tune into Red Ice Radio:

Scott Onstott - Explorations in Number, Architecture & Consciousness

Michael S. Schneider - Constructing The Universe with 1 through 12, Nature’s Numerical and Geometric Language

Matt Presti & Robert Otey - Cosmology of Dr. Walter & Lao Russell

Johan Oldenkamp - Wholly Science

Anthony Peake & Tom Campbell - Consciousness Creates Reality

Nassim Haramein - The Schwarzschild Proton & The Unified Field Theory




Related Articles
Physicists have a dark matter and space-time problem
Decoding Space and Time in the Brain
"Laws of Physics for a Holographic Universe" --New Theories of Space-Time
Why Time is a Social Construct
In New Quantum Experiment, Effect Happens Before Cause
Quantum Entanglement Leaps Beyond Einstein --"New States of Light"
Nonlocality and Quantum Entanglement
TED: Non-locality of consciousness is forbidden territory?
Is mathematics an effective way to describe the world?
Mary, Queen of Maths, and Chaos Theory


Latest News from our Front Page

Facebook completes first drone flight above UK, Mark Zuckerberg confirms
2015-03-28 3:15
Solar powered drones which provide internet access to rural and remote areas have been trialled in UK for first time by Facebook. They “have a wingspan greater than a Boeing 737 but will weigh less than a car”, according to the social network's chief Mark Zuckerberg. The drones, developed by Somerset-based company Ascenta which Facebook bought last March, will beam down laser-guided ...
300 Young English Girls (and a few Boys) Groomed and Assaulted by Oxfordshire "Gangs," Report Finds
2015-03-28 2:04
Editor's note: This story is a few days old now but the echoes of Rotherham just keeps coming. A few weeks ago there was Halifax, now Britain proudly can add Oxfordshire to their line up of diversity success stories. Below is the story from the telegraph: Serious case review finds failings by police and social services as it identifies hundreds of victims A ...
British POW describes the horror of the bombing of Dresden
2015-03-28 0:33
Partial Transcript of Interview with Victor Gregg, WW2 British solder and POW: Interviewer: "Tell us how it was that you were in Dresden at that time." Victor Gregg: "It was evil....thousands of firebombs dropping all over the place, heat, fire, people screaming, people burning, people alight. After about half an hour it started developing into something that was really bad....It was ...
Rape of 285,000 German Women at the End of WWII Trigger Damage Control by Mainstream Media
2015-03-27 20:25
Is Exposing Allied War Crimes an honorable act? No, it’s slandering heroes according to Daily Mail A recent article from the Daily Mail that pretends to look at the post WWII crimes and rapes of the Allies against the German people is actually damage control. It’s really an attempt to divert away from the true horrors that was visited upon Germany ...
Minister of Migration attacked by asylum seeker with fire extinguisher
2015-03-27 2:12
Sweden’s Minister of Justice & Migration also known as Morgan “only 1%” Johansson, has been attacked with a fire extinguisher when he visited an asylum home for future Swedes. Regional newspaper, Kristiandstadsbladet reported that a man who had been living at the home for a couple of weeks grabbed a fire extinguisher and sprayed foam all over the minister who didn’t ...
More News »