Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schröedinger equation for a stable history

A Brief Historical Perspective on the Consistent Histories Interpretation of Quantum Mechanics

It will be presented in this chapter a historical account of the consistent histories interpretation of quantum mechanics based on primary and secondary literature. Firstly, the formalism of the consistent histories approach will be outlined. Secondly, the works by Robert Griffiths and Roland Omnès will be discussed. Griffiths' seminal 1984 paper, the first physicist to have proposed a consistent-histories interpretation of quantum mechanics, followed by Omnès' 1990 paper, were instrumental to the consistent-histories model based on Boolean logic. Thirdly, Murray Gell-Mann and James Hartle's s…

一致历史的性质

Properties of Consistent Histories

本文描述了Gell-Mann-Hartle形式主义中相容性历史集的一些性质，并举例说明了仅用相容性准则不能恢复准经典物理学的标准预言、回溯和推论.

关于量子力学的自洽史方法

On the Consistent Histories Approach to Quantum Mechanics

本文回顾了Griffiths、Omnès、Gell-Mann和Hartle等人发展的量子力学的相容历史公式，并描述了相容集的分类.通过几个简单的引理和例子说明了相容集的一些一般性质。我们考虑各种解释的形式主义，并检查出现在重建过去和预测未来的新问题。它表明，奥姆内斯的真实陈述的特征-陈述可以无条件地推导出他的解释-是不正确的。我们批判性地研究盖尔曼和哈特尔的形式主义的解释，特别是他们的讨论的沟通，预测和追溯，并得出结论，他们的解释明显的持久性的准古典依赖于一个尚未未知的经验理论的假设。我们的总的结论是，一致性历史方法说明，为了产生一种能够进行无条件预言的基本理论，需要用某种选择原理来补充量子力学。

Decoherent Histories of Spin Networks

The decoherent histories formalism, developed by Griffiths, Gell-Mann, and Hartle is a general framework in which to formulate a timeless, `generalised' quantum theory and extract predictions from it. Recent advances in spin foam models allow for loop gravity to be cast in this framework. In this paper, I propose a decoherence functional for loop gravity and interpret existing results as showing that coarse grained histories follow quasiclassical trajectories in the appropriate limit.