标题： 半经典弹跳与强最小假设 显示英文标题

标题： Semiclassical bounce with strong minimal assumptions

摘要： 我们探讨了在早期宇宙中通过反弹解避免宇宙学奇点的可能性。 主要发现是，一种简单且广为人知的半经典修正，该修正描述了有效作用量中辐射与引力的混合，可能提供一个具有反弹的解析解。 该解要求总辐射项的β函数为正，并且宇宙在初始时刻收缩。 数值估计表明，反弹可能发生在可接受的能量范围内，但仅在对标准模型之外的粒子物理做出强烈假设的情况下才可能发生。 显示英文摘要

摘要： We explore the possibility of avoiding cosmological singularity with a bounce solution in the early Universe. The main finding is that simple and well-known semiclassical correction, which describes the mixing of radiation and gravity in the effective action, may provide an analytic solution with a bounce. The solution requires a positive beta function for the total radiation term and the contraction of the Universe at the initial instant. The numerical estimate shows that the bounce may occur in an acceptable range of energies, but only under strong assumptions about the particle physics beyond the Standard Model.