entropy - Is there a relation between (non-) existence of magnetic monopoles and thermodynamics?

This question follows on previous work on connections between (other) areas of physics and thermodynamics as in here, here and even here.

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.

Is there any relation to the (non-) existence of magnetic monopoles and 2nd law?

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.

Relevant articles include this one on spin ice and this one on Brownian motion

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.

Relevant papers and outlines: here, here, here and an arxiv paper by P. Davies on this issue (circa 2007)

UPDATE: An "unorthodox" critical view on mainstream mathematical physics (specifically Yang-Mills theory)