哈密顿力学是信息熵守恒

Q1 Arts and Humanities

Studies in History and Philosophy of Modern Physics Pub Date : 2020-08-01 DOI:10.1016/j.shpsb.2020.04.004

Gabriele Carcassi, Christine A. Aidala

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引用次数: 5

摘要

在这项工作中，我们证明了哈密顿力学和信息熵守恒之间的等价性。我们将证明具有坐标无关的信息熵值的分布要求定义分布的流形是由共轭对绘制的(即它是辛流形)。我们还将表明，进一步要求信息熵在进化过程中守恒，产生汉密尔顿方程。

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Hamiltonian mechanics is conservation of information entropy

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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来源期刊

Studies in History and Philosophy of Modern Physics 物理-科学史与科学哲学

自引率

0.00%

发文量

审稿时长

13.3 weeks

期刊介绍： Studies in History and Philosophy of Modern Physics is devoted to all aspects of the history and philosophy of modern physics broadly understood, including physical aspects of astronomy, chemistry and other non-biological sciences. The primary focus is on physics from the mid/late-nineteenth century to the present, the period of emergence of the kind of theoretical physics that has come to dominate the exact sciences in the twentieth century. The journal is internationally oriented with contributions from a wide range of perspectives. In addition to purely historical or philosophical papers, the editors particularly encourage papers that combine these two disciplines. The editors are also keen to publish papers of interest to physicists, as well as specialists in history and philosophy of physics.