I don’t try to rationalize the occult with science, in the sense of explaining away something happening as just coincidence, or just the result of a “natural” phenomena, but I do firmly believe that the two are and should be fundamentally compatible.
I believe, along with Crowley, that we should approach magick with “the method of science, the aim of religion”-- and the scientific method is actually how we determine what magick works for us and what doesn’t. We create a hypothesis (doing X ritual will produce Y results), test it in the lab (our temple), and record our outcome (did Y result happen or did Z?) . If our hypothesis was incorrect, we revise it and proceed to test the new one. Verifiable results are what are important: this is the only way to make sure we that we are not just deluding ourselves in the ritual chamber!
But beyond this, I think that eventually what physics and cosmology is uncovering right now, in terms of quantum mechanics and other “spooky” action-at-a-distance phenomena, will actually provide an explanatory mechanism for magick. I don’t believe in anything supernatural, in the literal sense of the term as something permanently beyond scientific understanding. Everything has an explanation, even if we don’t know what it is yet.