Many other aspects of quantum geometry or minimal length – such as T-duality, a critical, “maximal” Hagedorn temperature, or some kinds of noncommutativity – do emerge when we approach the smallest distance scales. But the naive discreteness is just one possible way how the usual concepts of a continuous geometry could be realized at short distances. And it is a way that is not chosen in quantum gravity because of many reasons, including its incompatibility with the Lorentz symmetry that we will discuss later in the text.
— Myths about the minimal length
— Lubos Motl
2012.10.04 Thursday ACHK