/sci/ - Science & Math

[Anonymous No.10812778]

So explain magnetic monopoles to me, /sci/

[Anonymous No.10812787]

>>10812778
i pretentarded

[Anonymous No.10812830]

I'm not kidding, folks.
I've heard that magnetic monopoles are theoretically possible. So explainn them to me.

[Anonymous No.10813541]

>>10812830
They aren't. Magnetic monopoles would change drastically our understanding of EM forces.

[Anonymous No.10813544]

>>10812778
Explain magnets to me like im five.

[Anonymous No.10813548]

>>10813541
well actually they are, but you need to learn high level theory first
wikipedia.org/wiki/%27t_Hooft–Polyakov_monopole

[Anonymous No.10813564]

>>10812778
Charged particles are electric monopoles.
Magnetic monopoles would just be like charged particles but for magnetism.

[Anonymous No.10814613]

>>10812778
>mono
>pole
>one polarity

It's an oxymoron really. There is no such thing as a magnetic monopole. Every magnet has "2 poles" which are just part of ONE magnet to begin with. Without poles a magnet wouldn't even be a magnet. It could not split into another magnet, there would be no bloch wall and you would only have either "Attraction" or "Repulsion", which would obviously violate the laws of thermodynamics. The only logical "monopole" would be the electric field, but there's always magnetism with it. Both can never be "pure".

[Anonymous No.10815770]

>>10814613
>he can't into theoretical physics
why are you even here?

[Anonymous No.10815804]

>>10815770
You may have well just said "he can't even imagine made up bullshit". Well explain to me logically how there can be a "monopole" then. How else is the magnet going to split into more magnets?

[Anonymous No.10815816]

>>10813548
>Polyakov
[la mer intensifies]

[Anonymous No.10815841]

>>10815804
umm math

[Anonymous No.10815982]

>>10815841
umm magnets)

[Anonymous No.10816094]

>>10812778
A monopole is a [math]\pi_2[/math]-topological defect in a [math]U(1)[/math] gauge theory. Given a vector bundle [math]E\rightarrow M[/math] with compact Lie structure group [math]G[/math], monopoles are critical points of the Yang-Mills-[math]G[/math] functional [math]S[\phi,A] = |F\wedge \star F|^2_{L^2} + |D\phi|^2_{L^2} + \Delta[/math] such that the solutions have homotopy type [math]\mathbb{Z}[/math] in [math]\pi_2[/math], where [math]D[/math] [math]F\in\Omega^2(M,\operatorname{End}E)[/math] is the [math]G[/math]-invariant curvature 2-form and [math]D[/math] is the covariant derivative. Here [math]\Delta[/math] is a generic renormalization term including the Reidemeister /Ray-Singer torsion of [math]E[/math].
https://ncatlab.org/nlab/show/Seiberg-Witten+theory
https://ncatlab.org/nlab/show/Kaluza-Klein+monopole
Incidentally, solutions that have non-trivial homotopy type in [math]\pi_1[/math] are called vortices.
>>10812830
https://www.nature.com/articles/326367a0
https://arxiv.org/abs/1705.06657
https://arxiv.org/abs/1705.05162