I see where the problem of miscommunication is. In my first post I wrote about EM radiation and said it would have been considered supernatural in the 1800's. I didn't make the distinction between supernatural and paranormal which I took both to be the same.
In the 1800's when people did not understand EM radiation and their transmission characteristics or even their existence (Light was just light without all the energetic fields associated with it), the thought of radio waves and their transmission, "big mirror in the sky" (plasma) and so on would have been considered paranormal but could have also been regarded as supernatural because their then knowledge of physics could not take into consideration such energies.
But the fact that their knowledge of physics "could not take [something] into consideration" doesn't mean that their physics actively excludes it.
That's the point
I'm trying to make. There's a difference between something that we don't know about and something we "know" can't exist. And that's the point at which science stops and the paranormal beings.
For example, I don't know what animals are living underneath my house. I don't
think that I have termites, and I spend a fair amount of money making sure that stays the case, but there could easily be a termite colony that I don't know about. Nothing that I know about the world excludes the possibility.
On the other hand, I
know that my house doesn't have a blue whale infestation. Because the properties I know of blue whales -- the fact, for example, that they don't burrow and are twice the size of my basement -- are actively incompatible with the idea of "living underneath my house."
Most -- not all -- of the "paranormal" falls into the second category. We "know" that the law of conservation of momentum holds, and it's related to a fundamental Noether symmetry of the universe. For this reason, TK is not just "unknown" but impossible -- to lift a rock requires momentum transfer, and there's nothing to transfer it to. Or if it's possible, then Emmy Noether was entirely wrong.
I already gave the example of Bigfoot. A new, undiscovered, large primate is not incompatible with science as we know it. So you're right there about "cryptozoology." But "psi" as generally defined violates at least two fundamental laws of physics (cause-effect and conservation of energy). So it's not sufficient to simply say that we don't know everything. If you want to justify psi, you have to say that everything we
do know is actively wrong.
Think also about the speed of light as we know it today travelling inside some media and think about how it was seen before we knew its real speed. If we hadn't known about the permittivities and permeabilities of materials and the change in C in those media then we would have said that a claim of a different C than is known is supernatural as it contradicts the laws of physics as we know them at the time. Doing the relevant expermentation at the time was impossible.
This is historically incorrect. Newton knew about different speeds of light from purely geometric arguments. "C" isn't just "the speed of light," and "the speed of light" isn't supposed to be material-invariant. "C" is the speed of light
in vaccuum, and Newton didn't have a clue about that -- meaning he woudn't have known enough to argue against the idea of invariance of the speed of light.