Magnetic Monopole's (non)existence

[mad mathematician]

Assume that one day will find axiomatics for physical theories.
Will magnetic monopoles (non)existence be part of the axioms (postulates) or their (non)existence be derived from the axioms?

How can one prove/disprove their physical existence?
If they are being observed by direct/indirect experiment then they exists, but otherwise you cannot disprove their existence by experiment.
And without knowing what are the exact postulates of any physical theory we cannot disprove their existence theoretically.

 

[Drakkith]

Assume that one day will find axiomatics for physical theories.

That's a really, really big assumption.

Will magnetic monopoles (non)existence be part of the axioms (postulates) or their (non)existence be derived from the axioms?

That's hard to say without knowing the theories in question.

And without knowing what are the exact postulates of any physical theory we cannot disprove their existence theoretically.

What do you mean? We know the postulates for our theories. That may or may not disprove magnetic monopoles theoretically, depending on the theory. For example, classical electromagnetism doesn't rule out magnetic monopoles, but the fact that we haven't observed them despite intensive searches for them makes us believe that they probably don't exist.