Quantum Fisher Cosmology: Confronting Observations and the Trans-Planckian Problem

TL;DR

Quantum Fisher Cosmology uses quantum information theory to derive model-independent predictions about the early universe, addressing the trans-Planckian problem and providing observable signatures in the CMB and dark matter formation.

Contribution

It introduces a novel quantum Fisher information approach to cosmology, linking quantum features to observable consequences in primordial fluctuations and structure formation.

Findings

Predicts a phase transition from red to blue tilt at 1 Mpc$^{-1}$

Calculates a spectral index of 0.0328 at CMB scales

Suggests a mechanism for primordial black hole formation

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 ($l > 10^5$) 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 $\sigma_8$ tension.