CBE和Penrose CCC循环宇宙学的可能对偶性
Possible Duality of CBE and Penrose CCC Cyclic Cosmologies
摘要：
在一个循环熵模型中，外向在转向时被抛弃，并假设返回为空，我们解决了收缩比例因子$f(t_T)a(t)$与膨胀比例因子$a(t)$的匹配问题，其中$f(t_T)$是转向时内向半径与外向半径的比值。这种匹配对于无限循环是必要的，并且将CBE周期固定在$\sim 2.6$ Ty。然后，我们比较这样的CBE模型与其他循环宇宙学，包括彭罗斯共形循环宇宙学周期$10^{100}$ y，并推测CBE模型可能与CCC模型的高度非平凡同构。
英文摘要：
In a cyclic entropy model in which the extroverse is jettisoned at turnaround with a Come Back Empty assumption, we address matching of the contraction scale factor $f(t_T)a(t)$ to the expansion scale factor $a(t)$, where $f(t_T)$ is the ratio at turnaround of the introverse to extroverse radii. Such matching is necessary for infinite cyclicity and fixes the CBE period at $\sim 2.6$ Ty. We then compare such a CBE model with alternative cyclic cosmologies including Penrose Conformal Cyclic Cosmology of period $10^{100}$ y, and speculate that the CBE model may be related to the CCC model by a highly nontrivial isomorphism.
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