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Scoop.it!
From
io9
Ever seen the little 'You Are Here' dot on a map of the airport, or the mall, or any other structure? That's a demonstration of the Brouwer Fixed-Point Theorem. 
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Scoop.it!
Twenty-three-year-old conjecture set to guide future quantum field theories.
His conjecture is called the a-theorem. It says that the number of ways in which quantum fields can be energetically excited (a) is always greater at high energies than at low energies.
The proposed proof2, from theorists Zohar Komargodski and Adam Schwimmer of the Weizmann Institute of Science in Rehovot, Israel, was put forward in July 2011, and is now gradually gaining acceptance as other theoretical physicists have a chance to check it.
“I think it’s quite likely to be right,” says Nathan Seiberg, a theoretical physicist at the Institute of Advanced Study in Princeton, New Jersey.
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Scoop.it!
At the heart of the weirdness for which the field of quantum mechanics is famous is the wavefunction, a powerful but mysterious entity that is used to determine the probabilities that quantum particles will have certain properties. Now, a preprint posted online on 14 November1 reopens the question of what the wavefunction represents — with an answer that could rock quantum theory to its core. Whereas many physicists have generally interpreted the wavefunction as a statistical tool that reflects our ignorance of the particles being measured, the authors of the latest paper argue that, instead, it is physically real.
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