The quantum de Sitter root of quasi de Sitter observables: a pedagogical review

Abstract

In inflationary cosmology the quasi de Sitter graceful exit allows us to measure the quantum features of the primordial dS phase, in particular, the lack of scale invariance parametrized by the spectral index $n_s$. In this review we summarize previous work on how the underlying primordial scaling law is implemented in the dS quantum Fisher information of the dS planar ground state (dSQFI). At large scales the dSQFI unequivocally sets, without any qdS input, the value of $n_s$ to be $0.9672$. This value is independent of the tensor to scalar ratio whose value requires model dependent input. In addition the dSQFI predicts, at large scales, a small running compatible with the current experimental results. Other phenomenological consequences of the dSQFI for small scales, will be discussed in a future review.

Matches accepted version to the Physics of the Dark Universe

References in corpus (7)

• No Page Curves for the de Sitter Horizon
• Model Independent Prediction of the Spectral Index of Primordial Quantum Fluctuations
• Quantum Fisher Cosmology: Confronting Observations and the Trans-Planckian Problem
• The Quantum Origin of Quasi de Sitter: a Model Independent Quantum Cosmological Tilt
• The quantum cosmological tilt and the origin of dark matter
• Breaking the Single Clock Symmetry: measuring single-field inflation non-Gaussian features
• Trans-Planckian Censorship Conjecture and Early Universe Cosmology