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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
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 …
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 …
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 …
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 …
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 …