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

1 vote

How can simple physical "proofs" of mathematical facts be made rigorous?

assertion "this system is at equilibrium" perhaps should be more properly interpreted as "an equilibrium configuration of the aforementioned system exists" (and depending on how closely you want to model the physics
j.c.'s user avatar
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12 votes

Homotopy $\pi_4(SU(2))=Z_2$

Because your user profile says that you are interested in condensed matter physics, I'll add that this idea is used in the case of $k=2$ to draw some nice pictures of "homotopies around defects" in this …
j.c.'s user avatar
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18 votes

Perfectly centered break of a perfectly aligned pool ball rack

It is also more physics than mathematics. However, I hope I can help readers see that this system is related to some very interesting science. … A system of billiards all just barely touching, like Newton's cradle, is an example of a sonic vacuum (see e.g. this expository physics article). …
j.c.'s user avatar
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