To prove that your hypothesis is correct you must
provide a mathematical relation based on your hypothesis
And then you must test it experimentally.
experimental verification may or may not be the base of a theory.
In Physics the experimental result is completely needed to prove that the hypotesis is correct. (I think)
A calculated prediction from your theory should match a real observation.
we hav no experimental observation for a black hole or lets say space warp yet we have theories related to them.
We have experimental indirect evidencies of the existence of a black hole. If a theory can not predict facts that can not be proven experimentally, now or in the future, then it can not be considered as a true physical theory.
that's the point.most of our theories in physics are based on this very assumption that their eperimental verification will be done in the future
you give the example of blackhole. Now blackhole was proposed as a theory in itself. and the prediction was that in the conditions of the blackhole, any mass(accretion disk) outside it(outside the Schwarzchild radius of the blackhole) would emit gigantically heavy radiation in the form of gamma rays. That scale of radiation is quite rare and unique so you can easily isolate its causes. so don't think that you can't really 'observe' a blackhole because its effective black. Eventhough The blackhole itself does not let out any radiation, the accretion disk around the blackhole emits massive radiation which would luminously outshine most of the brilliant objects in the universe. Hence, A blackhole usually is very very brightly surrounded. so lets take our observations of the Sombrero galaxy(M104). The X-ray and Gamma radiation emitted from the centre of this galaxy confirms to the predictions and we indeed deduce that there is a supermassive blackhole in the centre. (about a billion solar masses)
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