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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.14670 |
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| _version_ | 1866911685601656832 |
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| author | Faraoni, Valerio Veilleux, Nikki |
| author_facet | Faraoni, Valerio Veilleux, Nikki |
| contents | In the shallow water approximation, the cross-sectional profiles of laboratory rivers satisfy a differential equation here shown to be formally the Friedmann equation of cosmology ruling the evolution of Anti-de Sitter universe. The ensuing cosmic analogy provides a counterintuitive Lagrangian for the transverse river profile. Extremizing the corresponding action corresponds to extremizing the friction force on the river bottom and the energy dissipation rate. Analysis of the second variation establishes that this extremum is a maximum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14670 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Laboratory rivers extremize friction and are cosmological analogues Faraoni, Valerio Veilleux, Nikki Geophysics General Relativity and Quantum Cosmology In the shallow water approximation, the cross-sectional profiles of laboratory rivers satisfy a differential equation here shown to be formally the Friedmann equation of cosmology ruling the evolution of Anti-de Sitter universe. The ensuing cosmic analogy provides a counterintuitive Lagrangian for the transverse river profile. Extremizing the corresponding action corresponds to extremizing the friction force on the river bottom and the energy dissipation rate. Analysis of the second variation establishes that this extremum is a maximum. |
| title | Laboratory rivers extremize friction and are cosmological analogues |
| topic | Geophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.14670 |