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[ref] yields [equation] This expression coincides with the form obtained in loop quantum cosmology [ref] , indicating a close connection between the present framework and quantum gravitational corrections.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1001.3921","title":"Mixmaster universe in the z=3 deformed Ho\\v{r}ava-Lifshitz gravity","url":"/paper/1001.3921","section":"Introduction","sentence":"This contrasts to the case of the loop mixmaster dynamics based on loop quantum cosmology [ref] , where the mixmaster chaos is suppressed by loop quantum effects [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1809.08007","title":"Effective null Raychaudhuri equation","url":"/paper/1809.08007","section":"Introduction","sentence":"Upon comparing of these results with those found in LQG and LQC [ref] , in our opinion it is fair to say that, if under isotropic symmetry conditions, the latter are far more definite and accurate in their predictions (e.g., in cosmology, the effective Raychaudhuri equation when followed backwards towards the initial singularity predicts a vanishing of the expansion with a change of sign of the rate of change of the latter, namely a bounce), i.e. the approach presented here seems to have some predictive disadvantages or some loss of accuracy.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0806.0768","title":"Polymer Quantum Dynamics of the Taub Universe","url":"/paper/0806.0768","section":"Comparison with other approaches","sentence":"The fact that the cosmological singularity is not removed within this framework could look apparently in contrast with other models, such as [ref] : in the cosmological isotropic sector of General Relativity, i.e. the FRW models, the singularity is removed by loop quantum effects.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2604.18647","title":"Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime","url":"/paper/2604.18647","section":"Quantum Gravity","sentence":"In loop quantum cosmology, for example, the singularity is resolved through modified effective Friedmann equations and a quantum bounce [ref] .","intent_p":0.88,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":84,"sentences":92,"quotes":[{"arxiv_id":"2608.19146","title":"On entropic cosmology, late time acceleration and the quantum bounce","url":"/paper/2608.19146","section":"Introduction","sentence":"Although we could try to study black holes, we will focus our attention in quantum cosmology or, more precisely, Loop Quantum Cosmology (LQC) [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"0710.2742","title":"Relic gravitons from super-inflation","url":"/paper/0710.2742","section":"Introduction","sentence":"In this paper we consider a new type of the inflation which naturally occurs in the Loop Quantum Cosmology [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2412.07916","title":"Unitary evolution and cosmic acceleration in Loop Quantum Cosmology","url":"/paper/2412.07916","section":"Introduction","sentence":"In this case the two terms entering the Hamiltonian constraint: Euclidean and Lorentzian, turn out to be proportional classically, and quantization originally focused on the former [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"0710.0416","title":"Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology","url":"/paper/0710.0416","section":"Introduction","sentence":"The comprehensive formulation for loop quantum cosmology (LQC, see [ref] for a review) in the spatially flat and isotropic model has been constructed in detail [ref] , giving a conceptual framework and a solid foundation to analyze the physical issues of the quantum theory.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0903.4352","title":"Energy Scale of the Big Bounce","url":"/paper/0903.4352","section":"Introduction","sentence":"The resolution of the initial singularity proposed within LQC [ref] has been obtained due to the import of the discreteness of the kinematical geometrical operators from LQG to LQC [ref] .","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":94},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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