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arXiv 2312.07597hep-thastro-ph.COgr-qchep-ph
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马赫原理与暗物质

Mach's principle and dark matter

Joao Magueijo

AI总结:

本文提出一种马赫式非局域宇宙学框架,通过物理定律演化导致局部哈密顿约束缺失,其积分常数等价于引入一种只吸引不被吸引的“画上去的”暗物质,为暗物质提供了新解释。

摘要:

在本文中,我们探讨了一种马赫式设定,即局部物理非局域地受到整个宇宙的影响,并自由地将局部(“牛顿的水桶”)等同于我们的可见宇宙,将整个宇宙(马赫的“恒星”)等同于我们视界之外的全局宇宙。关键的是,我们允许两者具有不同的性质,从而超越了传统的 FRW 设定。为明确起见,我们关注那些非局域性源于物理定律随空间全局时间变量演化的理论,这些时间变量与自然常数对偶。由于非局域理论依赖于叶状结构,局部(而非全局)的哈密顿约束会丢失。这不仅发生在非局域性出现期间,也发生在其停止之后:局部哈密顿约束只能恢复到一个随时间不变的常数,保留了对过去累积非局域性的记忆。我们证明,这个积分常数等价于保留局部哈密顿约束并添加一种额外流体,其宇宙学性质与常规无压暗物质相同。但这种等价性在聚集性质上失效:新成分会吸引其他物质,却不会从自身位置移动。这就是终极的“画上去的”暗物质,只吸引而不被吸引,并固定了一个优越参考系。

英文摘要:

In this paper we entertain a Machian setting where local physics is non-locally affected by the whole Universe, taking the liberty to identify the local (``Newton's bucket'') with our visible Universe, and the whole Universe (Mach's ``fixed stars'') with the global Universe beyond our horizon. Crucially, we allow for the two to have different properties, so that we are beyond the traditional FRW setting. For definiteness we focus on theories where non-locality arises from evolution in the laws of physics in terms of spatially global time variables dual to the constants of Nature. Since non-local theories are foliation-dependent, the {\it local} (but not the global) Hamiltonian constraint is lost. This is true not only while non-locality is taking place, but also after it ceases: the local Hamiltonian constraint is only recovered up to a constant in time, keeping a memory of the integrated past non-locality. We show that this integration constant is equivalent to preserving the local Hamiltonian constraint and adding an extra fluid with the same cosmological properties as conventional pressureless dark matter. The equivalence breaks down in terms of clustering properties, with the new component attracting other matter, but not budging from its location. This is the ultimate ``painted-on'' dark matter, attracting but not being attracted, and nailing down a preferred frame.

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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