Inflationary back-reaction effects from Relativistic Quantum Geometry
Mauricio Bellini (IFIMAR - CONICET & UNMdP)

TL;DR
This paper investigates how quantum geometrical effects influence scalar metric fluctuations during inflation, using a novel formalism that aligns well with observational data.
Contribution
It introduces a non-perturbative variational formalism to analyze quantum geometrical effects on inflationary fluctuations, providing predictions consistent with observations.
Findings
Spectral predictions match observational data
Quantum geometrical effects influence inflation dynamics
Formalism offers a new approach to quantum gravity in cosmology
Abstract
We study the dynamics of scalar metric fluctuations in a non-perturbative variational formalism recently introduced, by which the dynamics of an geometrical scalar field , describes the quantum geometrical effects on a Weylian-like manifold with respect to a background Riemannian space-time. In this letter we have examined an example in the framework of inflationary cosmology. The resulting spectral predictions are in very good agreement with observations and other models of inflation.
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