Phys.org has the article Physicists create synthetic magnetic monopole predicted more than 80 years ago.
(Phys.org) —Nearly 85 years after pioneering theoretical physicist Paul Dirac predicted the possibility of their existence, an international collaboration led by Amherst College Physics Professor David S. Hall ’91 and Aalto University (Finland) Academy Research Fellow Mikko Möttönen has created, identified and photographed synthetic magnetic monopoles in Hall’s laboratory on the Amherst campus. The groundbreaking accomplishment paves the way for the detection of the particles in nature, which would be a revolutionary development comparable to the discovery of the electron.
I remember the use of the magnetic monopole concept in various EE and Physics courses in college. One of my professors, Paul Penfield, Jr., had strong interest in this topic. In trying to refresh my memory on the topic, I found an online copy of the book Continuum Electromechanics 1981, Melcher, James R.
For lack of evidence to support the existence of “free” magnetic monopoles, the total flux density due to all macroscopic fields must be solenoidal
While, I was in college, the magnetic monopole was a useful mathematical concept, but there was great controversy over whether or not such a thing could exist in isolation from its other pole. As I recall, after I graduated, Penfield wrote a number of technical papers in the journals I regularly read concerning this topic.