论文标题
固定保形循环宇宙学的框架
Toward fixing a framework for conformal cyclic cosmology
论文作者
论文摘要
共形环境宇宙学（CCC）是罗杰·彭罗斯爵士提出的宇宙的循环模型。在循环（Penrose称为Aeons）之间的跨界区域附近的共形不变性假设允许连续的空间时间通过保形恢复与之相关。一个主要的开放问题是如何以独特的方式选择共形因子，这是进一步研究的基本障碍。纽曼，托德和诺罗夫斯基提出了建议，但他们以一种或另一种方式不同意彭罗斯的原始假设以及彼此的原始假设。在本文中，我们将这些不同的模型进行了详细比较，并排除了Penrose提出的共形因子的某些选择。我们扩展了纽曼的结果，并在他的计算中出现了固定不一致的情况。提出了一类新的解决方案，只要满足一定的额外关系，就可以完全同意Penrose的假设。
Conformal Cyclic Cosmology (CCC) is a cyclic model of the universe put forward by Sir Roger Penrose. A conformal invariance assumption in the neighbourhood of the crossover region between cycles (which Penrose calls aeons) allows successive space-times to be related by a conformal rescaling. A major open problem is how to choose the conformal factor in a unique way, and is a fundamental hurdle to further study. Proposals have been put forward by Newman, Tod and Nurowski, but they disagree in one way or another with Penrose's original assumptions as well as each other. In this paper we compare these different models in detail and rule out certain choices for the conformal factor that have been put forward by Penrose. We extend the results of Newman and fix inconsistencies that arose in his calculations. A new class of solutions are put forward which agree with Penrose's assumptions exactly so long as a certain additional relation is satisfied.
