I see what you're saying, even if I would argue the details. But the important point is that there's no way to get from positivism to there:
The incompatibility of momentum and position, and that of energy and instant, arises from each being the Fourier transform of the other. It is after that that one can make a link to positivism.
In relativity, the fact that what happens beyond an event horizon can't influence my knowledge in any way is a consequence of the geometrical properties of spacetime. It is again a consequence of the mathematical theory, which one can link to positivism after the fact.
One shouldn't be fooled, by looking at how many branches of science started as philosophy, into then taking these modern spurious links and believing relativity or quantum mechanics are based on positivism.
The incompatibility of momentum and position, and that of energy and instant, arises from each being the Fourier transform of the other. It is after that that one can make a link to positivism.
In relativity, the fact that what happens beyond an event horizon can't influence my knowledge in any way is a consequence of the geometrical properties of spacetime. It is again a consequence of the mathematical theory, which one can link to positivism after the fact.
One shouldn't be fooled, by looking at how many branches of science started as philosophy, into then taking these modern spurious links and believing relativity or quantum mechanics are based on positivism.