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**Is there a "rigorous" proof..**

-That a "Quantum" of space (a minimum lenght, area or volume for any 4-dimensional Manifold) exist applying Quantum mechanics and GR?..both together or in the "Semi-classical" limit?...

- this "Planck lenght" should be obtained directly from math and never imposed by a "necessity" because if not theory would be wrong..this is why i don't believe much in "String Theory" you'll never be able to "see" (detect, prove) that there are 9+1 space-time dimensions or that "ojbects" called strings exist.