基于动力学一致性的通用量子理论
Universal quantum theory from dynamical consistency
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中文总结 AI 辅助
该研究通过动力学一致性论证，结合量子谐振子耦合分析，排除混合经典-量子模型，将推理应用于线性引力场，对比DeWitt测量分析，为量子理论通用性提供支撑。
中文摘要 AI 辅助
我们在特定哈密顿量框架下，通过动力学一致性论证为量子理论的通用性提供支撑。我们分析了两类简单量子谐振子间的不同耦合形式，每一种分别体现了自由量子场与相互作用量子场的某一特征，同时揭示了半经典模型的不足。具体而言，我们证实：要求正则代数在联合幺正动力学下保持不变，会排除特定的混合经典-量子模型。我们将上述推理应用于线性 regime 下的引力场，分别耦合到量子化电磁场与量子化物质。最后，我们将其与DeWitt的量子测量分析进行对比，在该分析中，若测量装置为经典的，则必须至少为随机的，才能保持海森堡不确定性原理；我们还指出，随机模型与严格版本的守恒原理不一致，即便它们符合概率性（平均意义上的）守恒。
英文摘要
We argue for the universality of quantum theory using a dynamical consistency argument, within a specific Hamiltonian setting. We analyse two different types of coupling between simple quantum harmonic oscillators. Each illustrates an aspect of the free and interacting quantum fields and shows the inadequacy of semiclassical models. In particular, we establish that requiring the canonical algebra to be preserved under joint unitary dynamics rules out specific hybrid classical-quantum models. We apply our reasoning to the gravitational field in the linear regime, coupled to the quantised electromagnetic field and, separately, to quantised matter. We conclude with a comparison to DeWitt's analysis of quantum measurement, in which the apparatus, if classical, must be at least stochastic to preserve the Heisenberg Uncertainty Principle. We also note that stochastic models are inconsistent with the strict version of conservation principles, even if they comply with a probabilistic (on average) conservation.
