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Analogue models of and for gravity

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arxiv gr-qc/0111111 v1 pith:TFQ7AZBF submitted 2001-11-30 gr-qc

classification gr-qc
keywords modelstheymimicanalogueaspectscurved-spaceexperimentallyfield
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Condensed matter systems, such as acoustics in flowing fluids, light in moving dielectrics, or quasiparticles in a moving superfluid, can be used to mimic aspects of general relativity. More precisely these systems (and others) provide experimentally accessible models of curved-space quantum field theory. As such they mimic kinematic aspects of general relativity, though typically they do not mimic the *dynamics*. Although these analogue models are thereby limited in their ability to duplicate all the effects of Einstein gravity they nevertheless are extremely important -- they provide black hole analogues (some of which have already been seen experimentally) and lead to tests of basic principles of curved-space quantum field theory. Currently these tests are still in the realm of *gedanken-experiments*, but there are plausible candidate models that should lead to laboratory experiments in the not too distant future.

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Cited by 2 Pith papers

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  2. Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction

    math.DS 2025-08 unverdicted novelty 5.0 of 10

    Claims a delay-independent global exponential stability criterion for a broad class of nonlinear nonautonomous delay differential equations using isospectral reduction of an associated sequence of matrices.

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