Re:Researchers have discovered magnetic monopoles
by andy99 on Wednesday December 06, 2023 @08:10PM
(#38551640)
From the other thread where this was discussed:
In the "Emergent Magnetic Charge" section, second paragraph:
"Finally, we emphasize that the observation of emergent monopoles is fully consistent with the modelling of AFM topological textures in Fig. 2 and does not violate Maxwell’s equation as they are, in fact, sinks and sources of the H^ field."
So this is a collective effect of a bunch of magnetic dipoles, and they go on to describe how div B is indeed zero in the material.
So this is not a Maxwell's Equations violation or anything, it's just some 'trick' to make a field that somehow locally looks divergent.
Re:Researchers have discovered magnetic monopoles
by Anon84 on Wednesday December 06, 2023 @07:33PM
(#38551385)
Yes, it’s a superposition of spins such that the resulting effect is the non-zero divergence
Re:Researchers have discovered magnetic monopoles
by kuchenbecker on Wednesday December 06, 2023 @09:34PM
(#38552132)
(not a physicist) Dirac proposed a sufficiently long and narrow solenoid would behave as if each end was a magnetic monopole. If the math says it works, then it should be possible in nature.
Please correct my understanding if you know better and I'm wrong.
These monopoles are a collective state of many spins that twirl around a singularity rather than a single fixed particle, so they emerge through many-body interactions. The result is a tiny, localised stable particle with diverging magnetic field coming out of it,"""
So do I take it that there is some kind of superposition of spins that locally, possibly just in a 2D cross section, appears to have a magnetic field with non-zero divergence? Is \nabla\cdot\vec{B} actually violated somewhere? The language seems pretty cagey.
Incidentally, I belive Dirac posited that they existence of magnetic monopoles would explain the quantization of charge.