Tuesday 22 September 2015

quantum mechanics - Do black holes violate the uncertainty principle?


If black holes have mass but no size, does that imply zero uncertainty in position? If so, what does that imply for uncertainty in momentum?



Answer



General relativity is a classical theory. The Heisenberg uncertainty principle does not apply to it.


The research frontier in physics now exists in quantizing gravity and unifying it with the other three forces (strong , weak, electromagnetic). Once that is done the solution for the black hole will become a probability distribution and the Heisenberg principle will apply. The macroscopic classical solution of a point singularity will become a quantum mechanical uncertainty locus which will not change the macroscopic description. h_bar is a very small number and is already easily satisfied by the classical mechanics solutions all our constructions and engineering depend on.


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