Jaynes原理的推广：量子力学和引力最小原理的信息论解释
A generalization of Jaynes' principle: an information-theoretic interpretation of the minimum principles of quantum mechanics and gravitation
摘要：
通过将薛定谔方程最小原理的“动能”项视为信息的度量，该最小原理被视为统计估计过程，类似于Jaynes（{ \it Phys. Rev.}，{ \bf 106}，620，1957）解释了统计力学。它表明，玻尔兹曼和Jaynes的熵公式服从的性质与量子力学动能，其中两个量被解释为相关性的措施。结果表明，相对论量子力学和广义相对论的最小值原理中的关键项都具有这种性质。它示出了如何这一原则可能会被扩展到非黎曼nonEuclidean空间，从而导致新的领域方程的扭转。
英文摘要：
By considering the "kinetic-energy" term of the minimum principle for the Schrödinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure, analogous to the manner in which Jaynes ({\it Phys. Rev.},{\bf 106}, 620, 1957) interpreted statistical mechanics. It is shown that the entropy formula of Boltzmann and Jaynes obey a property in common with the quantum-mechanical kinetic energy, in which both quantities are interpreted as measures of correlation. It is shown that this property is shared by the key terms in the minimum principles of relativistic quantum mechanics and General Relativity. It is shown how this principle may be extended to non-Riemannian nonEuclidean spaces, which leads to novel field equations for the torsion.
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