论文标题
哈密顿力学是信息熵的保护
Hamiltonian mechanics is conservation of information entropy
论文作者
论文摘要
在这项工作中，我们显示了哈密顿力学和信息熵的保护之间的等效性。我们将证明，具有坐标为信息熵的独立值的分布要求将分布定义的歧管通过共轭对图表（即，这是一个符号歧管）。我们还将表明，进一步要求在进化过程中保存信息熵可以产生汉密尔顿方程。
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.
