  The Planck scale is usually believed to be an unpassable wall. Putting a
cutoff there and thinking of it as a quantized spacetime entity shows that.
However, this is exactly the cause of many problems in quantum gravity. The
cosmological constant problem also comes down to the problem of how to describe
a trans-Planckian world by a continuum theory that shall be renormalizable and
background free. Here, we show that when quantizing gravity in a
diffeomorphism-invariant method, in which background freedom arises
asymptotically as an exact conformal symmetry, the zero-point energy vanishes
identically. Thus, there is no problem with the cosmological constant, which is
a physical constant, namely a renormalization group invariant. We also argue
that new quanta based on the background freedom emerge and spacetime is
discretized dynamically. Primordial fluctuations will originate from such
quanta.
