Quantum Gravity Corrections to the Inflationary Spectrum in a Bohmian Approach

Maniccia G, Montani G (2024)


Publication Type: Journal article

Publication year: 2024

Journal

Book Volume: 16

Article Number: 816

Journal Issue: 7

DOI: 10.3390/sym16070816

Abstract

A precise interpretation of the universe wave function is forbidden in the spirit of the Copenhagen School since a precise notion of measure operation cannot be satisfactorily defined. Here, we propose a Bohmian interpretation of the isotropic universe quantum dynamics, in which the Hamilton–Jacobi equation is restated by including quantum corrections, which lead to a classical trajectory containing effects of order (Formula presented.). This solution is then used to determine the spectrum of gauge-invariant quantum fluctuations living on the obtained background model. The analysis is performed adopting the wave function approach to describe the fluctuation dynamics, which gives a time-dependent harmonic oscillator for each Fourier mode and whose frequency is affected by the (Formula presented.) corrections. The properties of the emerging spectrum are discussed, outlining the modification induced with respect to the scale-invariant result, and the hierarchy of the spectral index running is discussed.

How to cite

APA:

Maniccia, G., & Montani, G. (2024). Quantum Gravity Corrections to the Inflationary Spectrum in a Bohmian Approach. Symmetry, 16(7). https://doi.org/10.3390/sym16070816

MLA:

Maniccia, Giulia, and Giovanni Montani. "Quantum Gravity Corrections to the Inflationary Spectrum in a Bohmian Approach." Symmetry 16.7 (2024).

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