I came across this very interesting hypothesis on the nature of "black holes" today from a theoretical physicist by the name of Igor Nikitin. The one attribute that is very important here is that this hypothesis is purely physical in that it does not embrace the absurdity of a zero dimensional point of infinite gravity as a black hole, but replaces this impossibility with an infinitesimal reality: a plank scale collapsed star.
The problem that starting from so called first principles of deductive mathematical logic is simply that we are dealing with things that cannot exist. Points are not physical realities. So the pretension that they are is incompatible with reality. This also applies to the idea of the nothingness of the purported beginning of physical reality: the "Big Bang."
Kepler, who revolutionized astronomy, himself made this charge against the non-physical algebraicists of his day. Riemann, whose contributions to geometry made Einstein's breakthroughs possible, made very much the same point at the close of his doctoral thesis that we cannot confuse mathematical theorems for physical reality.
But this is precisely what the glorified icons of academia have done and are continuing to do today. Nikitin may be right or not. And of course, we need to test his hypothesis rigorously. But, at the very least his hypothesis does not suffer from the outset in the same way as do so many others that accept without question the irrational premises of mathematical fictions as reality.
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