Carcassi, Gabriele and Aidala, Christine A (2019) Hamiltonian mechanics is conservation of information entropy. [Preprint]
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Abstract
In this work we show the equivalence between Hamiltonian mechanics and conservation of information entropy. We will show that distributions with coordinate independent values for information entropy require that the manifold on which the distribution is defined is charted by conjugate pairs (i.e.~it is a symplectic manifold). We will also show that further requiring that the information entropy is conserved during the evolution yields Hamilton's equations.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | Accepted for publication in Studies in History and Philosophy of Modern Physics | |||||||||
| Keywords: | Hamiltonian mechanics, information entropy, symplectic manifolds, determinism and reversibility | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Computation/Information Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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| Depositing User: | Gabriele Carcassi | |||||||||
| Date Deposited: | 06 May 2020 17:57 | |||||||||
| Last Modified: | 06 May 2020 17:57 | |||||||||
| Item ID: | 17143 | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Computation/Information Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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| Date: | 8 February 2019 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/17143 |
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