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A magnetic monopole is a hypothetical particle with only one magnetic pole. Their magnetic fields would not be divergence-less. Predicted by certain modern theories, including string theory, supergravity, and various popular grand unified theories.

5 votes

Is it possible to separate the poles of a magnet?

Magnetic monopoles certainly exist. This does not require a GUT, they exist in any theory where the electromagnetic U(1) is compact (i.e. where charge is quantized). This follows only from the semicla …
Ron Maimon's user avatar
13 votes
Accepted

Magnets arranged in a sphere

The magnetic analog of Gauss's law tells you that $$ \oint B dA = 0$$ This says that he number of magnetic field lines entering and leaving any surface surrounding any configuration of magnets are a …
Ron Maimon's user avatar
5 votes
Accepted

Dirac string on (periodic) compact space

In a compact orientable space the total magnetic charge (or electric change for that matter) must be zero by Gauss's law. All the magnetic field lines leaving the monopoles must go somewhere, so they …
Ron Maimon's user avatar
1 vote
Accepted

Using the covariant derivative to find force between 't Hooft-Polyakov magnetic monopoles

The sign of the gauge part of the covariant derivative is a convention, you can choose it any way you want, it just defines the sign of A. This sign has nothing to do with the metric convention, mostl …
Ron Maimon's user avatar
3 votes

Why do we like gauge potentials so much?

It is the gauge potentials, not the fields, that determine the quantum motion of particles. In either the Schrodinger equation or the path integral, the gauge field appears, not the E and B, and for n …
Ron Maimon's user avatar
8 votes
Accepted

Are gravitomagnetic monopoles hypothesized?

Gravitational monopoles are forbidden by the positive mass theorem--- any configuration of GR has positive mass, and therefore is an ordinary "pole" in the analogy with electromagnetism. The analogy i …
Ron Maimon's user avatar
2 votes
Accepted

Hypothetical very massive particles

I would add the following: The triplet, the SU(5) partner of the Higgs, assuming the Higgs is in a 5 of SU(5), or the analogous thing for higher GUTs. Presumably, this is GUT scale, but the experime …
Ron Maimon's user avatar