Dirac Magnetic Monopole

Radial magnetic field B = g·r̂/r² — Dirac string and quantization condition

yes
Dirac (1931): If a magnetic monopole
exists with charge g, then electric
charges must satisfy:
eg = n·ℏc/2, n ∈ ℤ

This explains charge quantization!

Field: B = g/r² (radial)
Dirac string: unobservable
solenoid carrying flux back
(gauge artifact, not physical)

∇·B = 4πg·δ³(r) (vs 0 in Maxwell)
∮ B·dA = 4πg