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arXiv 1807.07083gr-qchep-thquant-ph
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随机涌现量子引力

Stochastic Emergent Quantum Gravity

Joshua Erlich

摘要:

我们提出了一个与物质耦合的突现量子引力的随机框架。在同态不变理论中的哈密尔顿约束要求确定一个相对于其可以定义动力学的时钟,其他自由度可以扮演统治者的角色。然而,一个全球性的时钟和标尺系统通常是不可用的。我们提供的证据表明,与时钟和标尺场的临界点相关的随机性可以与符合普通量子理论的概率描述和广义相对论描述的长距离引力的出现有关。我们提出了一个嵌入任何洛伦兹不变场论,包括标准模型及其洛伦兹不变扩展,在这个框架中的程序。

英文摘要:

We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other degrees of freedom can play the role of rulers. However, a global system of clock and rulers is generally not available. We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances. We propose a procedure for embedding any Lorentz-invariant field theory, including the Standard Model and its Lorentz-invariant extensions, in this framework.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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