River cross-sectional profiles satisfy the Friedmann equation for an Anti-de Sitter universe; the associated action extremizes friction and dissipation, and the extremum is a maximum by second variation analysis.
On Slow Light as a Black Hole Analogue
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abstract
Although slow light (electromagnetically induced transparency) would seem an ideal medium in which to institute a ``dumb hole'' (black hole analog), it suffers from a number of problems. We show that the high phase velocity in the slow light regime ensures that the system cannot be used as an analog displaying Hawking radiation. Even though an appropriately designed slow-light set-up may simulate classical features of black holes -- such as horizon, mode mixing, Bogoliubov coefficients, etc. -- it does not reproduce the related quantum effects. PACS: 04.70.Dy, 04.80.-y, 42.50.Gy, 04.60.-m.
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Laboratory rivers extremize friction and are cosmological analogues
River cross-sectional profiles satisfy the Friedmann equation for an Anti-de Sitter universe; the associated action extremizes friction and dissipation, and the extremum is a maximum by second variation analysis.