It's possible that something analogous to natural science might be created to address your spiritual stuff. If you want that to happen, then you and those like you (that's you, MR) should try to invent a new "science" and think up a research program and methodology for it. What phenomena should it address? What sources of information about those phenomena do we have? How might those phenomena be explained? How can successful explanations be distinguished from unsuccessful ones? Do the new theories lead to any unexpected discoveries and new areas of exploration?
Parapsychology, ufology and creation science never seem to generate any theories of their own that have any hope of explaining any of their material, apart from 'God did it!' or 'It doesn't have to conform to known physical principles!' And that doesn't really tell us anything, because it's consistent with any possible observation.
The thing is , is that , no new " science " needs to be invented . The science , by those who the investigations into these phenomenon already exist .
The spiritual stuff would seem on its face to violate science's methodological naturalism. So we would need to invent a new non-natural science to addresss them, in contrast to natural science. Unlike some on this board, I don't think that's necessarily impossible.
If we try to invent a spiritual science, what kind of phenomena would it address? What
is a spiritual phenomenon? How would a spiritual phenomenon be distinguished from one that isn't spiritual? A closely related question addresses how we become aware of spiritual phenomena and what kind of information can we obtain about them? Do sources of information exist apart from and in addition to our conventional senses and their objects? How would this spiritual science establish objectivity? (Or would it even try? But if it's entirely subjective, why call it 'science'?)
We already have one obvious example of what might be called a non-physical science: mathematics. But as different as mathematics is from physical science, mathematics has a unique methodology all its own in its very rigorous logical proofs, that produce results that mathematicians everywhere on Earth can agree on. So what kind of methodology would proponents of parapsychology and creation science propose to address their peculiar subjects? That's a task that they don't seem to have ever really addressed.
Then the spiritual science would need some explanatory hypotheses. It isn't enough to name a hypothetical 'PSI phenomenon' (let's say), in order for parapsychology to be a productive science, it would need to take a shot at
explaining what is observed. About the best that I've seen is a crude classification of 'PSI phenomena', and if things move around mysteriously, people saying 'Oh, that's telekenesis' or 'Oh, that's poltergeists', as if naming it somehow
explains it.
The spiritual sciences need to be able to generate hypotheses that are open to further investigation. In conventional science, scientists investigate this, which raises questions about that, and investigations kind of snow-ball. Investigating what's inside animals' bodies leads to anatomy and physiology, which lead to histology, biochemistry, cell and developmental biology... questions upon questions. The new spiritual sciences need to be able to generate
productive research programs that enable deeper and deeper investigations into their chosen subjects. And that returns us to the subject of explanation, since as science progresses deeper and deeper into its rabbit holes, explanations proliferate as surface phenomena are reduced to whatever lies deeper. So previously inexplicable organ function in animal bodies can now be explained by the new information from biochemistry, histology and physiology.
The new sciences need to be capable of surprising us, revealing entirely new and unsuspected kinds of phenomena.
And they need to display what philosophers call
consilience, where entirely different lines of inquiry, using different methods and presuppositions, arrive at essentially the same results. In natural science we see that when paleontologists hypothesize an evolutionary history for an organism based on fossil evidence, and when the molecular geneticists independently produce the same history based on genomic evidence.