标题： 关于尺度不变性宇宙学中的暗能量和宇宙过渡的注记 显示英文标题

标题： Note on Dark Energy and Cosmic Transit in a scale-invariance cosmology

摘要： 一般来说，物理定律在尺度变化下并不保持不变。 为了确定“尺度不变性假设”是否符合自然，需要仔细考察其含义。 因此，尺度不变性宇宙学模型需要经过多项测试来确认或证伪。 在本文中，在尺度不变性宇宙学框架下引入了三个不同的玩具模型，以检验暗能量和宇宙过渡。 尽管宇宙过渡存在于这三个模型中，但在宇宙演化过程中压力始终为负。 此外，在状态方程参数的演化中总是存在奇点，这不利于对暗能量演化的完整研究。 讨论了参数的不良特性，并与其他宇宙学背景进行了比较。 显示英文摘要

摘要： In general, the laws of physics are not invariant under a change of scale. To find out whether the 'scale-invariance hypothesis' corresponds to nature or not, a careful examination to its implications is required. As a consequence, the scale-invariance cosmological models need to be carefully checked with many tests in order to confirm or disconfirm them. In this paper, three different toy models have been introduced in the framework of a scale-invariance cosmology to examine dark energy and cosmic transit. Although cosmic transit exists in the three models, the pressure stays always negative during cosmic evolution. In addition, there is always a singularity in the evolution of the equation of state parameter which is not suitable for a complete investigation of dark energy evolution. The undesirable features of the parameters have been discussed, and a comparison with other cosmological contexts has been done.