In this article, we follow a previously developed theoretical approach, based on the tools of the singular semi-Riemannian geometry, to push the limits of time beyond the primordial spacetime singularity. By complexifying the Friedmann–Lemaître–Robertson–Walker (FLRW) metric and Friedmann's equations, we model a branch cut universe, in which the cosmic FLRW metric scale factor is analytically continued to the complex plane, and becomes equivalent from a conceptual point of view of describing a hypothetical general metric of maximally symmetric and homogeneous superposed multiple universes.

中文翻译：

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超越大爆炸奇点的时间极限：分支切割宇宙

在本文中，我们遵循先前开发的理论方法，基于奇异半黎曼几何的工具，将时间限制推到原始时空奇点之外。通过复化弗里德曼-勒梅特-罗伯逊-沃克 (FLRW) 度量和弗里德曼方程，我们模拟了一个分支切割宇宙，其中宇宙 FLRW 度量比例因子在解析上延续到复平面，并且从概念的角度来看变得等效描述最大对称和均匀叠加的多个宇宙的假设通用度量。