发表机构
University of Lethbridge; Czech Technical University in Prague; University of Delhi（莱斯布里奇大学; 布拉格捷克理工大学; 德里大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出一种极简经典引力修正，无需量子假设即可产生非奇点循环宇宙，反弹后接近ΛCDM演化，周期约89吉年，为区分循环宇宙学与ΛCDM提供可测试模型。
AI 中文摘要
大爆炸奇点标志着广义相对论的根本性失效，然而所有已提出的量子引力补救方案都涉及超出观测范围的微观物理假设。我们证明，对引力势进行一种极简的、纯粹经典修正——在已测试尺度上保持平方反比定律，但在未测量尺度上允许偏离——就足以产生一个非奇点、循环的宇宙。由此产生的修正引力表述导致宇宙演化呈现出在有限最小尺寸处的反弹，随后进入一个与协和ΛCDM模型极为相似的阶段，并最终坍缩至另一次反弹。宇宙计时器、Ia型超新星、重子声学振荡、宇宙微波背景和核合成数据约束了这两个新长度尺度，意味着循环周期约为89吉年，且这一框架——将广泛类别的反弹场景纳入一个可测试的单一模型——为区分循环宇宙学与ΛCDM模型开辟了直接途径。
英文摘要
The Big Bang singularity marks a fundamental breakdown of General Relativity, yet all proposed quantum gravitational remedies invoke microphysical assumptions beyond the observational reach. We show that a minimal, purely classical modification of the gravitational potential --- preserving the inverse-square law where tested, but free to depart at unmeasured scales --- is sufficient to produce a non-singular, cyclic universe. The resulting modified gravitational formulation leads to a cosmic evolution exhibiting a bounce at a finite minimum size, followed by a regime closely akin to the concordant $Λ$CDM model, and an eventual collapse to another bounce. Cosmic Chronometer, Supernovae type Ia, Baryon Acoustic Oscillation, Cosmic Microwave Background and Nucleosynthesis data constrain both the new length scales, implying a cycle period of $\simeq 89\,$Gyr, and this framework --- subsuming a broad class of bounce scenarios within a single testable model --- opens a direct route for distinguishing cyclic cosmologies from $Λ$CDM.
Comments11 pages, 2 tables and 4 figures
