Planckian and Trans-Planckian physics in black holes and quantum space-time

In the absence of a complete quantum theory of gravity, we start from quantum physics and its foundational milestone: The universal classical-quantum (or wave-particle) duality, which we extend to gravity and the trans-Planck domain. As a consequence, classical and semiclassical gravity, quantum planckian and trans-planckian domains are covered, and the usual quantum domaine as well. A new quantum space-time region emerges. Quantum discrete space-time levels and mass levels are derived, covering from the large astrophysical/cosmological objects to quantum elementary particles, crossing the Planck scale and beyond it. Both, black holes and de Sitter cosmology are discussed.