New Quantum Phase of the Universe before Inflation and its Cosmological
  and Dark Energy Implications
  The physical history of the Universe is completed by including the quantum
planckian and trans-planckian phase before Inflation in the Standard Model of
the Universe in agreement with observations. A new quantum precursor phase
appears beyond the Planck scale. We extend de Sitter universe to the quantum
domain: classical-quantum de Sitter duality. As a result: The classical and
quantum dual de Sitter Temperatures and Entropies are naturally included, and
the different (classical, semiclassical, quantum planckian and super-planckian)
de Sitter regimes characterized in a precise and unifying way. Relevant
cosmological examples as Inflation and Dark Energy are described. This allows
to find in a simple and consistent way: Quantum Inflationary spectra and their
CMB observables, including in particular the classical known Inflation spectra
and the quantum corrections to them. A unifying picture for the Universe epochs
and their quantum precursors emerges with the cosmological constant as the
vacuum energy, entropy and temperature of the Universe, shedding light into the
cosmological constant problem (Abridged).
