{"arxiv_id":"1608.06246","incoming":{"papers":14,"sentences":22,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1806.07796","title":"Quantum fluctuating CGHS geometries and the information paradox","url":"/paper/1806.07796","section":"Canonical formulation of CGHS's action","sentence":"At this point we follow [ref] and substitute the lapse and shift functions by [equation] where $F':=∂_x F=∂_+F+∂_-F$.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":9,"sentences":9,"quotes":[{"arxiv_id":"2205.03799","title":"Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP","url":"/paper/2205.03799","section":"Introduction","sentence":"In LQG, there have been numerous works studying both the interior and the full spacetime of the Schwarzschild black hole [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2310.04600","title":"Black hole interior quantization: a minimal uncertainty approach","url":"/paper/2310.04600","section":"Introduction","sentence":"In LQG, there have been extensive studies of both the interior [ref] and the full spacetime [ref] of the Schwarzschild black hole, as well as lower dimensional black holes mimicking the Schwarzschild full spacetime [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"2406.03909","title":"A generalized uncertainty-inspired quantum black hole","url":"/paper/2406.03909","section":"Introduction","sentence":"They include models [ref] that treat the interior as a Kantowski-Sachs cosmology, the full spacetime [ref] , or further symmetry-reduced 2D systems [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"1610.08840","title":"Signature change in loop quantum gravity: General midisuperspace models and dilaton gravity","url":"/paper/1610.08840","section":"Introduction","sentence":"In [ref] , the class of 2-dimensional dilaton gravity models has been studied, with a special discussion of the vacuum CGHS model [ref] given in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2012.04795","title":"Deformed algebra and the effective dynamics of the interior of black holes","url":"/paper/2012.04795","section":"Introduction","sentence":"In Loop Quantum Gravity (LQG) [ref] which is one of the main nonperturbative approaches to the quantization of gravity, there has been numerous studies of both the interior and the full spacetime of black holes in four and lower dimensions [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":11},"outgoing":{"papers":21,"sentences":54,"groups":[{"kind":"extends","label":"Builds on","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1310.5996","title":"Quantum black holes in Loop Quantum Gravity","url":"/paper/1310.5996","section":"Introduction","sentence":"The purpose of the present work is to put forward a quantization of the CGHS model, by extending the methods of [ref] to the case at hand.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1302.5265","title":"Loop quantization of the Schwarzschild black hole","url":"/paper/1302.5265","section":"Quantum observables","sentence":"These two observables were first introduced for the 3+1 spherically symmetric case in [ref] and due to the similarities of the two models, we can see that they exist also for the CGHS model.","intent_p":0.97,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":6,"sentences":9,"quotes":[{"arxiv_id":"1310.5996","title":"Quantum black holes in Loop Quantum Gravity","url":"/paper/1310.5996","section":"Polar-type variables for spherically symmetric model","sentence":"In order to make things simpler, Gambini et. al. in [ref] take $η=1$ and since this is second class with the Gauss constraint, they can be solved to yield the final Hamiltonian [equation] sgn Int","intent_p":0.87,"contests_p":null},{"arxiv_id":"1304.7836","title":"A local true Hamiltonian for the CGHS model in new variables","url":"/paper/1304.7836","section":"Introduction","sentence":"Furthermore, based on a proposal in Refs. [ref] , a redefinition of the scalar constraint is made, such that this constraint admits the standard algebra with the diffeomorphism constraint, while having a vanishing brackets with itself.","intent_p":0.88,"contests_p":null},{"arxiv_id":"1508.03036","title":"Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model","url":"/paper/1508.03036","section":"Introduction","sentence":"Furthermore, based on a proposal in Refs. [ref] , a redefinition of the scalar constraint is made, such that this constraint admits the standard algebra with the diffeomorphism constraint, while having a vanishing brackets with itself.","intent_p":0.88,"contests_p":null},{"arxiv_id":"0909.2829","title":"Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology","url":"/paper/0909.2829","section":"Spectrum of geometrical operators","sentence":"In this case we will follow again the ideas of [ref] in order to render our equation in a suitable representation where it will again become separable.","intent_p":0.99,"contests_p":null},{"arxiv_id":"0804.3157","title":"Loop Quantization of Vacuum Bianchi I Cosmology","url":"/paper/0804.3157","section":"Representation of operators","sentence":"For it, we choose the representation proposed in [ref] , that is we define this operator as [equation] where the non-diagonal operator $Ω̂_φ(v_j)$ is written as [equation] This shows that we need to also represent $|E^φ|^1/4$ and $(E^φ)$.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":14,"sentences":18,"quotes":[{"arxiv_id":"hep-th/9111056","title":"Evanescent Black Holes","url":"/paper/hep-th/9111056","section":"Brief review of the CGHS model","sentence":"The CGHS model [ref] is a 2D dilatonic model.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0709.2129","title":"Loop Quantum Dynamics of the Schwarzschild Interior","url":"/paper/0709.2129","section":"Introduction","sentence":"The application of LQG quantization techniques to simpler models, known as loop quantum cosmology (LQC), has dealt with the question of the resolution of the singularity at different levels in models similar to the one under study —see for instance Refs. [ref] among others—.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1012.0077","title":"Evaporation of 2-Dimensional Black Holes","url":"/paper/1012.0077","section":"Introduction","sentence":"The application of LQG quantization techniques to simpler models, known as loop quantum cosmology (LQC), has dealt with the question of the resolution of the singularity at different levels in models similar to the one under study —see for instance Refs. [ref] among others—.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1108.0893","title":"Loop Quantum Cosmology: A Status Report","url":"/paper/1108.0893","section":"Introduction","sentence":"The application of LQG quantization techniques to simpler models, known as loop quantum cosmology (LQC), has dealt with the question of the resolution of the singularity at different levels in models similar to the one under study —see for instance Refs. [ref] among others—.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1302.5265","title":"Loop quantization of the Schwarzschild black hole","url":"/paper/1302.5265","section":"Introduction","sentence":"The application of LQG quantization techniques to simpler models, known as loop quantum cosmology (LQC), has dealt with the question of the resolution of the singularity at different levels in models similar to the one under study —see for instance Refs. [ref] among others—.","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":25},"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. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1608.06246"}}