Abstract

It was suggested in our previous paper [Yu.V. Dumin, Grav. Cosmol. 25, 169 (2019)] that the cosmological Dark Energy might be mediated by the time–energy uncertainty relation in the Mandelstam–Tamm form, which is appropriate for the long-term evolution of quantum systems. The amount of such Dark Energy gradually decays with time, and the corresponding scale factor of the Universe increases by a “quasi-exponential” law (namely, the exponent is proportional to of the square root of time) throughout the entire cosmological evolution. While such a universal behavior looks quite appealing, an important question arises: Does the quasi-exponential expansion resolve the major problems of the early Universe in the same way as the standard inflationary scenario? In the present paper, we elucidate this issue by analyzing the causal structure of the space–time following from this model. It is found that the observed region of the Universe (the past light cone) covers a single causally connected domain developing from the Planck times (the future light cone). Consequently, there should be no appreciable inhomogeneity and anisotropy in the early Universe, creation of the topological defects will be suppressed, etc. From this point of view, the uncertainty-mediated Dark Energy can serve as a reasonable alternative to the standard (exponential) inflationary scenario.

中文翻译：

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基于不确定性暗能量的宇宙通货膨胀

摘要

我们以前的论文[Yu.V. 杜敏，重力。Cosmol。25，169（2019）]，宇宙的暗能量可能是由Mandelstam-Tamm形式的时间-能量不确定性关系所调节的，这适合于量子系统的长期演化。这种暗能量的数量随时间逐渐衰减，并且宇宙的相应比例因子在整个宇宙学演化过程中都以“准指数”定律（即指数与时间的平方根成正比）增加。尽管这种普遍行为看起来很吸引人，但出现了一个重要问题：准指数扩张是否以与标准通胀情景相同的方式解决了早期宇宙的主要问题？在本文中，我们通过分析此模型遵循的时空因果结构来阐明此问题。发现宇宙的观测区域（过去的光锥）覆盖了一个从普朗克时代发展的因果联系的域（未来的光锥）。因此，在早期的宇宙中不应存在明显的不均匀性和各向异性，可以抑制拓扑缺陷的产生等。从这个角度来看，不确定性介导的暗能量可以作为标准（指数）的合理替代品。通货膨胀的情况。