Boltzmann Entropy, the Holographic Bound and Newtonian Cosmology
[EN] The holographic principle sets an upper bound on the total (Boltzmann) entropy content of the Universe at around 10123kB (kB being Boltzmann¿s constant). In this work we point out the existence of a remarkable duality between nonrelativistic quantum mechanics on the one hand, and Newtonian cosm...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/126937 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/126937 |
| Access Level: | acceso abierto |
| Palabra clave: | Gravitational entropy Holographic principle Emergent spacetime MATEMATICA APLICADA |
| Sumario: | [EN] The holographic principle sets an upper bound on the total (Boltzmann) entropy content of the Universe at around 10123kB (kB being Boltzmann¿s constant). In this work we point out the existence of a remarkable duality between nonrelativistic quantum mechanics on the one hand, and Newtonian cosmology on the other. Specifically, nonrelativistic quantum mechanics has a quantum probability fluid that exactly mimics the behaviour of the cosmological fluid, the latter considered in the Newtonian approximation. One proves that the equations governing the cosmological fluid (the Euler equation and the continuity equation) become the very equations that govern the quantum probability fluid after applying the Madelung transformation to the Schroedinger wavefunction. Under the assumption that gravitational equipotential surfaces can be identified with isoentropic surfaces, this model allows for a simple computation of the gravitational entropy of a Newtonian Universe. |
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