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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
10
votes
Topology of black holes
The previous answers dealt with the physically relevant case of
$d=4$ spacetime dimensions. One of the surprising discoveries in recent years is that
in higher dimensions the possible topologies are …
9
votes
What do correlation functions compute in CFT?
The behavior of phase transitions between different states (magnetized vs. unmagnetized, or water vs. ice or liquid vs. gas etc. ) has been one of the central topics in condensed matter physics for many …
8
votes
Number theory and physics
The rational numbers $\mathbb{Q}$ are central to number theory, so I think it would be reasonable to claim a connection between number theory and ``real” physics if there were a physical system with properties … The physics is governed by the
ratio of the flux of the applied magnetic field through a unit cell of the lattice to magnetic flux quantum $\Phi_0=h/e$ and when this ratio takes on rational values the …
6
votes
Higgs mechanism from a deformation quantization point of view
The Higgs mechanism in the Standard Model doesn't have much to do with deformation quantization as other people have explained. However there is a version of the Higgs mechanism in string theory which …
4
votes
What kind of Lagrangians can we have?
"Is the principle of least action an experimental hypothesis?" A physicist views classical mechanics as a semiclassical limit of quantum mechanics, valid in the limit that $\hbar \rightarrow 0$. In th …