A Jewel at the Heart of Quantum Physics
2013 09 20
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
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
Sand Pirates: ISIS Are America’s 21st Century Terrorist Privateers
2014 11 01
What is ISIS? If you believe govt and corporate propaganda, you still think that ISIS is a grassroots Islamic ideological movement ¨C and with no connection to intelligence agencies like America¡¯s CIA, Britain¡¯s MI6, Turkish (NATO) intelligence, Saudi intelligence, Israeli intelligence, or Pakistan¡¯s ISI.
The reality of ISIS is something altogether different¡
On closer inspection, these marauding paramilitary ISIS gangs are nothing ...
Ancient Stone Circles in Mideast Baffle Archaeologists
2014 11 01
Huge stone circles in the Middle East have been imaged from above, revealing details of structures that have been shrouded in mystery for decades.
The Big Circle called J1 is about 390 meters (1,280 feet) in diameter, with an open area created by bulldozing in its interior.
Credit: David L. Kennedy, copyright is retained by the Aerial Photographic Archive for Archaeology ...
Sweden Recognizes Palestinian State; Israel Upset
2014 10 31
Sweden on Thursday became the biggest Western European country to recognize a Palestinian state, prompting a strong protest from Israel, which swiftly withdrew its ambassador from Stockholm.
The move by Sweden’s new left-leaning government reflects growing international impatience with Israel’s nearly half-century control of the West Bank, east Jerusalem and its blockade of the Gaza Strip. It also comes during increased ...
Fed-Backed Study: How to Brainwash Public into Fearing “Climate Change” Like Ebola
2014 10 31
$84K study seeks ways to make public fear "climate change and overpopulation"
The National Science Foundation is funding a study to determine how to brainwash the public into fearing “climate change and overpopulation” as if they were Ebola.
The NSF awarded an $84,000 grant to researchers at the State University of New York at Buffalo yesterday to figure out how to make ...
Brain decoder can eavesdrop on your inner voice
2014 10 31
As you read this, your neurons are firing – that brain activity can now be decoded to reveal the silent words in your head
TALKING to yourself used to be a strictly private pastime. That’s no longer the case – researchers have eavesdropped on our internal monologue for the first time. The achievement is a step towards helping people who cannot ...
|More News » |