{"arxiv_id":"1305.4986","incoming":{"papers":11,"sentences":18,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1501.00435","title":"Holography in a background-independent effective theory","url":"/paper/1501.00435","section":"Discussion and conclusions","sentence":"More quantitative calculations in this direction can be done by the linearized horizon formalism described in [ref] .","intent_p":0.93,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1908.05469","title":"Emergent Gravity in a Holographic Universe","url":"/paper/1908.05469","section":"Rindler space","sentence":"In order to satisfy both boundary conditions, the generators must be initially expanding and hence the area of the horizon cross-section increases towards the future.[Ref. [ref] also interpreted this in terms of an equilibrium variation version of the first law, which refers to the variation of the asymptotic horizon area rather than the variation of the bifurcation surface as in our version.]","intent_p":0.96,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1501.00435","title":"Holography in a background-independent effective theory","url":"/paper/1501.00435","section":"Introduction: the equivalence principle and quantum field theory","sentence":"Since horizons encode information on the curvature of geometry [ref] (including infinitesimal perturbations [ref] ), and the strong EP implies gravity to be geometric, the EP requires no observable can be constructed sensitive to degrees of freedom beyond the horizon (the horizon must indeed be a “true” one) and hence the tracing over needs to be exact. this suggests either the equivalence principle, or quantum mechanics or at least observer-specific unitarity have to be abandoned.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2302.05922","title":"Loop Quantum Gravity and Quantum Information","url":"/paper/2302.05922","section":"Area-law states and the architecture of spacetime geometry","sentence":"On the other hand, in quantum gravity the finite Planck area coefficient $L_P^2/2π$ is expected, as supported by various lines of evidence from the renormalization of the gravitational coupling in black hole backgrounds [ref] , from the thermodynamics of space-time geometry [ref] , from the holographic entanglement entropy [ref] , and from the entanglement entropy of the Rindler horizon in perturbative quantum gravity [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2303.14642","title":"Experimental observation of a Rindler horizon","url":"/paper/2303.14642","section":"Rindler horizon thermodynamics","sentence":"Thermodynamics offers a surprisingly simple technique to examine the properties of both black holes as well as Rindler horizons [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"1908.05469","title":"Emergent Gravity in a Holographic Universe","url":"/paper/1908.05469","section":"Rindler space","sentence":"In the literature, on the other hand, a physical process version of the first law for Rindler space was stated for the first time in [ref] , and subsequently proven using the Einstein equation in [ref] .","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":12},"outgoing":{"papers":23,"sentences":42,"groups":[{"kind":"comparison","label":"Compares with","papers":2,"sentences":5,"quotes":[{"arxiv_id":"0708.2738","title":"The Physical Process First Law for Bifurcate Killing Horizons","url":"/paper/0708.2738","section":"V. Physical interpretation","sentence":"While the methods used in its proof are very similar to the ones discussed here and in [ref] , there is a key difference: for the Rindler horizon, the initial configuration of the beam is not stationary.","intent_p":0.97,"contests_p":null},{"arxiv_id":"gr-qc/0302099","title":"Horizon Entropy","url":"/paper/gr-qc/0302099","section":"V. Physical interpretation","sentence":"While the methods used in its proof are very similar to the ones discussed here and in [ref] , there is a key difference: for the Rindler horizon, the initial configuration of the beam is not stationary.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"hep-th/9303048","title":"Entropy and Area","url":"/paper/hep-th/9303048","section":"VIII. Horizon entropy","sentence":"The entanglement entropy is the Von Neumann entropy of this reduced density matrix, $S[ρ]=-Tr[ρlogρ]$, [ref] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"gr-qc/9305022","title":"The First Law of Black Hole Mechanics","url":"/paper/gr-qc/9305022","section":"V. Physical interpretation","sentence":"The second version of the first law of black hole mechanics is an “equilibrium state comparison” [ref] .","intent_p":0.95,"contests_p":null}]}],"unlabelled_sentences":35},"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/1305.4986"}}