Abstract
The aim of Quantum Fisher Cosmology is to use the quantum Fisher information about pure de Sitter states to derive model independent observational consequences of the existence of a primordial phase of the Universe of de Sitter accelerated expansion. These quantum features are encoded in a scale dependent quantum cosmological tilt that defines what we can call the de Sitter universality class. The experimental predictions are: i) A phase transition from red into blue tilt at a scale order k= 1 Mpc-1 that naturally solves the cosmological trans-Planckian problem, ii) A spectral index for curvature fluctuations at CMB scales k= 0.05 Mpc-1 equal to 0.0328, iii) A tilt running at scale k=0.002 Mpc-1 equal to -0.0019, iv) An enhancement of the amplitude of CMB peaks for extremely high multipoles (l > 105) that can provide a natural mechanism for primordial black hole formation as a source of dark matter, v) A lack of power at scales of 8 Mpc with respect to the CMB scale that can explain the σ_8 tension.