A first step towards the inflationary trans-planckian problem treatment in Loop Quantum Cosmology

Abstract

For most initial conditions, cosmologically relevant physical modes were trans-planckian at the bounce time, often by many magnitude orders. We improve the usual loop quantum cosmology calculation of the primordial power spectra -- in the inflationary framework -- by accounting for those trans-planckian effects through modified dispersion relations. This can induce drastic changes in the spectrum, making it either compatible or incompatible with observational data, depending on the details of the choices operated.

11 pages, 10 figures

References in corpus (7)

• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Quantum field theory on a cosmological, quantum space-time
• Fast Radio Bursts and White Hole Signals
• The length operator in Loop Quantum Gravity
• Planck star phenomenology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• New length operator for loop quantum gravity

Cited by in corpus (10)

• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• An Overview on the Nature of the Bounce in LQC and PQM
• Non-adiabatic Evolution of Primordial Perturbations and non-Gaussinity in Hybrid Approach of Loop Quantum Cosmology
• Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
• Scalar spectra of primordial perturbations in loop quantum cosmology
• Preinflationary perturbations from the closed algebra approach in loop quantum cosmology
• Loop quantum cosmology: relation between theory and observations
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Impact of generalized holonomy corrections on the cosmological primordial power spectra
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas