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Hamiltonian mechanics is conservation of information entropy

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
Creators:
CreatorsEmailORCID
Carcassi, Gabrielecarcassi@umich.edu0000-0002-1071-6251
Aidala, Christine Acaidala@umich.edu0000-0001-9540-4988
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
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
Date: 8 February 2019
URI: http://philsci-archive.pitt.edu/id/eprint/17143

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