一种新的量子图形暗能量模型
A New Model of Agegraphic Dark Energy
摘要：
本文基于Károlyházy关系提出了一个新的年龄暗能量模型，其中时间尺度选择为Friedmann-Robertson-Walker（FRW）宇宙的共形时间$η$.我们发现，在辐射主导的时代，新的年龄暗能量$w_q=-1/3$而$Ω_q=n^2a^2$的状态方程参数;在物质主导的时代，$w_q=-2/3$而$Ω_q=n^2a^2/4$ ;最终，新的年龄暗能量占主导地位;在晚时间$w_q\to -1$时，$a\to\infty$，和新的年龄暗能量模仿宇宙学常数。在每一个阶段，一切都是一致的。在arXiv：0707.4049中提出的原始年龄暗能量模型中的混乱在这个新模型中消失了。此外，$Ω_q\ll 1$自然满足辐射主导和物质主导的时代，其中$a\ll 1$。此外，我们进一步扩展了新的年龄暗能量模型，包括新的年龄暗能量和背景物质之间的相互作用。在这种情况下，我们发现$w_q$可以穿过体模分界。
英文摘要：
In this note, we propose a new model of agegraphic dark energy based on the Károlyházy relation, where the time scale is chosen to be the conformal time $η$ of the Friedmann-Robertson-Walker (FRW) universe. We find that in the radiation-dominated epoch, the equation-of-state parameter of the new agegraphic dark energy $w_q=-1/3$ whereas $Ω_q=n^2a^2$; in the matter-dominated epoch, $w_q=-2/3$ whereas $Ω_q=n^2a^2/4$; eventually, the new agegraphic dark energy dominates; in the late time $w_q\to -1$ when $a\to\infty$, and the new agegraphic dark energy mimics a cosmological constant. In every stage, all things are consistent. The confusion in the original agegraphic dark energy model proposed in arXiv:0707.4049 disappears in this new model. Furthermore, $Ω_q\ll 1$ is naturally satisfied in both radiation-dominated and matter-dominated epochs where $a\ll 1$. In addition, we further extend the new agegraphic dark energy model by including the interaction between the new agegraphic dark energy and background matter. In this case, we find that $w_q$ can cross the phantom divide.
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