Revealing A Trans-Planckian World Solves The Cosmological Constant Problem

The Planck scale has been 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, which shall be renormalizable and background free. Here, we show that 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 be originated from such quanta.Comment: 18 pages, two footnotes and an appendix added, typos correcte