{"arxiv_id":"2210.07331","incoming":{"papers":2,"sentences":2,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2303.14120","title":"Deformed Special Relativity with a minimum speed as explanation of the tiny value of the cosmological constant based on the Boomerang experiment in the ${\\Lambda}CDM$ scenario","url":"/paper/2303.14120","section":"Conclusions and prospects","sentence":"Another important work [ref] has considered the relation of the minimum speed with superfluids and acoustic geometries and the latter is a review published in AIP Advanced, which makes a review about Relativistic Hydrodynamics [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"2607.06666","title":"Effective Field Theories for Material Media","url":"/paper/2607.06666","section":"Further Readings","sentence":"Other topics, applications and viewpoints on relativistic hydrodynamics can be found in countless review articles such as, for example, [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":0},"outgoing":{"papers":25,"sentences":66,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0906.4282","title":"Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences","url":"/paper/0906.4282","section":"Mandelung formalism applied to dark matter","sentence":"Building then the normalization condition [ref] [equation] where $ℳ$ is the total mass and $ν$ is the volume of a fluid, so we write the mass density of the fluid $ρ=|ψ|^2$.","intent_p":0.91,"contests_p":null},{"arxiv_id":"gr-qc/0005091","title":"Superfluid analogies of cosmological phenomena","url":"/paper/gr-qc/0005091","section":"Building collective variables for the components $j⃗_s$ and $j⃗_n$","sentence":"Let us now study our system in terms of the collective variables $n(p)$ which is the density of quasi-particles and $v⃗$ the velocity of the fluid [ref] , we define, according to Volovik citevolo , the distribution of quasiparticles in thermal equilibrium at a temperature $T$ [equation] where $+$ represents fermion and $-$ represents Boson.","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":5,"quotes":[{"arxiv_id":"2009.05397","title":"Variation of the speed of light and a minimum speed in the scenario of an inflationary universe with accelerated expansion","url":"/paper/2009.05397","section":"Mandelung formalism","sentence":"The cosmological constant is written by [ref] in terms of the matter fields $ψ_m$ and the scalar field $V_qu$, [equation] this is yet another point of similarity between the works of [ref] and [ref] , since the scalar field equation in [ref] has a functional form very similar to the form of [ref], and we have already demonstrated in [ref] that the field $ϕ$ associated with the Symmetric Special Relativity (SSR) kinematics has inflationary properties.","intent_p":0.9,"contests_p":null},{"arxiv_id":"0904.0723","title":"Bohmian mechanics versus Madelung quantum hydrodynamics","url":"/paper/0904.0723","section":"Mandelung formalism","sentence":"The cosmological constant is written by [ref] in terms of the matter fields $ψ_m$ and the scalar field $V_qu$, [equation] this is yet another point of similarity between the works of [ref] and [ref] , since the scalar field equation in [ref] has a functional form very similar to the form of [ref], and we have already demonstrated in [ref] that the field $ϕ$ associated with the Symmetric Special Relativity (SSR) kinematics has inflationary properties.","intent_p":0.9,"contests_p":null},{"arxiv_id":"0708.0561","title":"k-Essence, superluminal propagation, causality and emergent geometry","url":"/paper/0708.0561","section":"NLKG-Mandelung's formalism and superfluids","sentence":"The similarity of the action [ref] with the action of a k-essence model [ref] is remarkable.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":4,"sentences":5,"quotes":[{"arxiv_id":"cond-mat/9909313","title":"Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex","url":"/paper/cond-mat/9909313","section":"The quantization of a superfluid","sentence":"One of the open discussions is the relation with the simple connectedness of the space [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1408.0779","title":"Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation","url":"/paper/1408.0779","section":"The quantization of a superfluid","sentence":"One of the open discussions is the relation with the simple connectedness of the space [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"gr-qc/9311028","title":"Acoustic propagation in fluids: an unexpected example of Lorentzian geometry","url":"/paper/gr-qc/9311028","section":"Fluctuations in barotropic fluids $p=p(ρ)$ under Lorentz symmetry","sentence":"Let's now follow [ref] , [ref] , [ref] to review the concept of acoustic geometry.","intent_p":0.8,"contests_p":null},{"arxiv_id":"2008.12069","title":"Relativistic fluid dynamics: physics for many different scales","url":"/paper/2008.12069","section":"Introduction","sentence":"Relativistic Fluids have received great attention from the scientific community recently, see [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":54},"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/2210.07331"}}