# Is there a rigorous proof

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.

Related Beyond the Standard Model News on Phys.org
Apparently, yes. It has to do with Heisenberg uncertainty principle. I reproduced it here during another discussion; actually, it's the derivation for the quantization of time there, but from there you can conclude that a signal (which travels at c, always) cannot travel less than a Planck length, because it would need to do it in a fractionary amount of Planck times, which cannot happen.

Haelfix
-I don't agree much with the ¿hypothesis? $$\Delta E < mc^{2}$$ since mass can be 0, the rest i can understand..