Such an experiment (the Divine proton-beam Experiment, or DPBE) would detect only interactions of the protons with this god.
It’s a useless experiment. You have no reason to believe that such interaction exists.
It’s a bit like using ganzfeld experiments on twins for testing twin telepathy , then concluding because the experiment fails, that twin telepathy doesn’t exist. But You cannot constrain the universe to act as you want it to. It does what it does.
On the other hand there is some evidence that one twin can detect a trauma in the other ( like cold water shocks) using polygraph. But the sad thing is science won’t touch it. Science declares it woo woo because there are no papers, so nobody researches it, and as a result there are no papers, so it is therefore called woo woo. One of sciences bits of circular reasoning, or actually bias against things which offend the paradigm of consciousness as a chemical reaction.
Science only really makes one presumptive claim -- naturalness..
Natural is what is observed to happen. It does not assign a cause. It models what happens and consequences of it. If it is observed it is natural. By which definition abiogenesis is supernatural. It’s never been observed. Only plausibility arguments exists for why it might have done.
I have used before the analogy of an aircraft landing.
You cannot tell whether a pilot landed it, the aircraft landed itself on autopilot, or whether it was designed by a pilot programming his knowledge into the autopilot.
You only have the observed behaviour, not the cause in a fundamental sense, or the reason it exists.
Science is the first to say of inexplicable experience, that they are only anecdotal so cannot be repeated and is therefore deemed suspect. I’ve seen it said on these threads many times. Experience clearly is subject to some false rationalisation. That doesn’t mean all inexplicable experience is false of course. It just makes the job sorting wheat from chaff harder.
Yet there are plenty of documented inexplicable experiences, I have commented on elsewhere. Eg the inexplicable OBE of one of his patients who experienced what she cannot have witnessed, that got Greyson interested as a medic in the subject. Science is stuck. Only if such experiences are under control on demand of the patient can it move forward with it. Consciousness is a problem for science to analyze because it is experiential.
science does a fine job of using repeatable patterns in observations to help assist our lives. But beyond those patterns is a universe science can say little about.