These are the absolute basics to foolproof yourself from devolving into complete nonsense. If your theory fails any of these physical and mathematical laws then either disprove the laws or admit your theory is wrong.
Those traditions, with their introspection and meditation, are drilling into experience of consciousness. Or that's my take on the whole thing.
ANd yes, an example would be Penrose believes something in the brain is non-computable. However Penrose is a very excellent thinker as far as the standards for consciousness theories go, for he posited a physically testable theory as far as I know. Even if it turns out to be wrong, this is worthy of respect.