标题： 单模态类似时间，演化和布兰斯-迪克引力 显示英文标题

标题： Unimodular-like times, evolution and Brans-Dicke Gravity

摘要： 在类似单模理论中，自然常数从预先给定的参数降级为相空间变量。它们的规范对偶提供了物理时间变量。我们研究这与另一种变化常数的方法之间的相互作用，其中常数被动态标量场取代。具体而言，我们研究了引力的布兰斯-迪克理论及其与对偶于宇宙学常数、普朗克质量等的钟的相互作用。我们关键地区分了牛顿的G在此过程中的不同作用，导致局部洛伦兹不变性破坏的可能性。出现大量可能的理论，例如布兰斯-迪克耦合ω依赖于类似单模的时间（标量-张量理论的推广），甚至成为类似单模钟的对偶变量，这些钟滴答着其他降级常数的变化，如宇宙学常数。我们扫描可能理论的空间，并选择那些关于布兰斯-迪克ω和其他参数（如宇宙学常数）联合变化最有趣的理论；以及关于它们的能量守恒破坏性质的理论。这项基础工作旨在为后续发展提供形式化方法，即关于宇宙学、黑洞和宇宙学常数问题。 显示英文摘要

摘要： In unimodular-like theories, the constants of nature are demoted from pre-given parameters to phase space variables. Their canonical duals provide physical time variables. We investigate how this interacts with an alternative approach to varying constants, where they are replaced by dynamical scalar fields. Specifically we investigate the Brans-Dicke theory of gravity and its interaction with clocks dual to the cosmological constant, the Planck mass, etc. We crucially distinguish between the different role of Newton's G in this process, leading to the possibility of local Lorentz invariance violation. A large number of possible theories emerge, for example where the Brans-Dicke coupling, omega, depends on unimodular-like times (in a generalization of scalar-tensor theories), or even become the dual variable to unimodular-like clocks ticking variations in other demoted constants, such as the cosmological constant. We scan the space of possible theories and select those most interesting regarding the joint variations of the Brans-Dicke omega and other parameters, (such as the cosmological constant); and also regarding their energy conservation violation properties. This ground work is meant to provide the formalism for further developments, namely regarding cosmology, black holes and the cosmological constant problem.