论文标题
量子标量场的熵动力学与重力耦合
The Entropic Dynamics of Quantum Scalar Fields Coupled to Gravity
论文作者
论文摘要
熵动力学（ED）是用于基于熵方法构建不确定动态模型的一般框架。 ED已用于在弯曲时空中得出或重建非相关量子力学和量子场理论。在这里，我们提出了一个在动态时空中传播的量子标量场的模型。该方法取决于一些关键成分：（1）而不是建模字段的动力学，而是建模其概率的动力学。 （2）根据推理的标准熵方法，动力学由约束中编码的信息决定。 （3）选择与物理相关的约束的选择是由对称和不变性原理决定的。这样的第一个原则强加了符合结构的保存，该结构带来了伴随的Poisson括号和行动原则，从而导致了哈密顿形式主义。第二个对称原理是叶状性不变性，后者是霍伊曼（Hojman），库查尔（Kuchar）和蒂特尔伯姆（Teitelboim）早期工作的实施，作为对路径独立的要求。结果是一个混合模型，该模型在另一个极限和经典的一般相对论中接近量子场理论，但并未完全描述。该ED模型的一个特别重要的预测是，量子场与重力的耦合意味着违反了量子叠加原理。
Entropic dynamics (ED) is a general framework for constructing indeterministic dynamical models based on entropic methods. ED has been used to derive or reconstruct both non-relativistic quantum mechanics and quantum field theory in curved space-time. Here we propose a model for a quantum scalar field propagating in a dynamical space-time. The approach rests on a few key ingredients: (1) Rather than modelling the dynamics of the fields, ED models the dynamics of their probabilities. (2) In accordance with the standard entropic methods of inference the dynamics is dictated by information encoded in constraints. (3) The choice of the physically relevant constraints is dictated by principles of symmetry and invariance. The first such principle imposes the preservation of a symplectic structure which leads to a Hamiltonian formalism with its attendant Poisson brackets and action principle. The second symmetry principle is foliation invariance, which following earlier work by Hojman, Kuchar, and Teitelboim, is implemented as a requirement of path independence. The result is a hybrid ED model that approaches quantum field theory in one limit and classical general relativity in another, but is not fully described by either. A particularly significant prediction of this ED model is that the coupling of quantum fields to gravity implies violations of the quantum superposition principle.
