Modifications to gravitational wave equation from canonical quantum gravity

@article{Dapor2020ModificationsTG,
  title={Modifications to gravitational wave equation from canonical quantum gravity},
  author={Andrea Dapor and Klaus Liegener},
  journal={The European Physical Journal C},
  year={2020}
}
It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves. In this paper we investigate such imprints on gravitational waves within a specific framework: space is assumed to be discrete (in the form of a regular cubic lattice), and this discrete geometry is quantised following Dirac’s canonical quantisation scheme. The semiclassical behavior is then extracted by promoting the… 
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References

SHOWING 1-10 OF 101 REFERENCES
New loop quantum cosmology modifications from gauge-covariant fluxes
Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities
Cosmological coherent state expectation values in loop quantum gravity I. Isotropic kinematics
This is the first paper of a series dedicated to LQG coherent states and cosmology. The concept is based on the effective dynamics program of Loop Quantum Cosmology, where the classical dynamics
Quantum reduced loop gravity: Semiclassical limit
We discuss the semiclassical limit of quantum reduced loop gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply loop quantum gravity (LQG) techniques in
Loop Quantum Cosmology
TLDR
L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.
Gravitational wave generation in loop quantum cosmology
We calculate the full spectrum, as observed today, of the cosmological gravitational waves generated within a model based on loop quantum cosmology. It is assumed that the universe, after the
Emergent four-dimensional linearized gravity from a spin foam model
Spin Foam Models (SFMs) are covariant formulations of Loop Quantum Gravity (LQG) in 4 dimensions. This work studies the perturbations of SFMs on a flat background. It demonstrates for the first time
Introduction to Modern Canonical Quantum General Relativity
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the
Quantum cosmological backreactions. I. Cosmological space adiabatic perturbation theory
The search for quantum gravity fingerprints in currently available cosmological data that have their origin from the Planck era is of growing interest due to major recent progress both in the
Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
Loop quantum cosmology provides an efficient framework to study the evolution of the Universe beyond the classical Big Bang paradigm. Because of holonomy corrections, the singularity is replaced by a
Quantum theory of geometry: I. Area operators
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated
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