What kind of “mechanism of action” you are looking for? I mean, physicists provide no “mechanism of action” for the forces they stipulate to exist. There is no “mechanism of action” for electromagnetism, it just does what it does. Similarly, ESP force might not have “mechanism of action”, it just could do what it does.
What you are doing here is that you are betraying two huge hidden assumptions that you implicitly make. First is that you are most likely expecting to obtain “mechanism action” in some kind of mathematical terms, which implicitly assumes ability to use mathematics to explain the observed universe. Second is that you are looking for “mechanism of action” for ESP in terms of known physical forces and theories. Here, you implicitly assume that known physics is all there is.
Now, I do not believe in ESP either, my point is only that you are demanding rigor from ESP you don’t from electromagnetism.