Hamiltonian mechanics is conservation of information entropy
History and Philosophy of Physics
2020-08-12 v1 Classical Physics
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.
Keywords
Cite
@article{arxiv.2004.11569,
title = {Hamiltonian mechanics is conservation of information entropy},
author = {Gabriele Carcassi and Christine A. Aidala},
journal= {arXiv preprint arXiv:2004.11569},
year = {2020}
}
Comments
25 pages, accepted for publication in Studies in History and Philosophy of Modern Physics