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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Entropic dynamics, time and quantum theory
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Entropic dynamics, time and quantum theory

机译：熵动力学，时间和量子理论

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摘要

Quantum mechanics is derived as an application of the method of maximum entropy. No appeal is made to any underlying classical action principle whether deterministic or stochastic. Instead, the basic assumption is that in addition to the particles of interest x there exist extra variables y whose entropy S(x) depends on x. The Schr?dinger equation follows from their coupled dynamics: the entropy S(x) drives the dynamics of the particles x while they in their turn determine the evolution of S(x). In this 'entropic dynamics' time is introduced as a device to keep track of change. A welcome feature of such an entropic time is that it naturally incorporates an arrow of time. Both the magnitude and the phase of the wavefunction are given statistical interpretations: the magnitude gives the distribution of x in agreement with the usual Born rule and the phase carries information about the entropy S(x) of the extra variables. Extending the model to include external electromagnetic fields yields further insight into the nature of the quantum phase.
机译：量子力学是最大熵方法的一种应用。无论是确定性的还是随机的，都没有呼吁任何潜在的经典行动原则。相反，基本假设是，除了感兴趣的粒子x之外，还存在额外的变量y，其熵S（x）取决于x。薛定er方程式来自其耦合动力学：熵S（x）驱动粒子x的动力学，而粒子x进而确定S（x）的演化。在这种“熵动力学”中，引入了时间作为跟踪变化的一种手段。这种熵时间的一个受欢迎的特征是它自然地带有时间箭头。波函数的幅值和相位都给出了统计解释：幅值给出x的分布与通常的Born规则一致，并且相位携带有关额外变量的熵S（x）的信息。扩展模型以包括外部电磁场，可以进一步了解量子相的性质。

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