P. Dirac (an electrical engineer initially) was one of the first to pose the possible existence of magnetic monopoles (original paper)(for example as solenoids). This would allow more symmetric forms of certain equations (physicist fetish?). Anyway, this (a-)symmetry is also the starting point for possible connections to thermodynamical concepts.
Would the possible existence of magnetic monopoles violate the 2nd law, or does the 2nd law predict magnetic monopoles, or it is just irrelevant (sth many physicists would not assume lightly)?
Relevant physics areas include the intersection of materials magnetization and thermodynamics.
NOTE: have not actually read the articles as i do not have access, however mentioned as part of existing literature on the question's subject.
UPDATE: An "unorthodox" critical view on mainstream mathematical physics (specifically Yang-Mills theory)