AI 中文总结
该研究结合沼泽地距离猜想与广义樋口界，推导了准德西特暴胀的有限多项式寿命界，该界输入少且适用于所有模空间点，弱于跨普朗克审查猜想。
AI 中文摘要
我们证明，由近平坦标量势驱动的准德西特暴胀具有有限的多项式寿命，该寿命由沼泽地距离猜想与广义樋口界的相互作用决定。通过分析经典标量滚动与量子随机扩散，我们表明，对于任意任意高但固定的统计置信度，在约化普朗克单位下，宇宙在保持樋口一致性的同时，寿命不能超过~min{ln(1/H)·√V/V', V^(-(d-1)/2)·ln²(1/H)}，其中H为哈勃参数，V为标量势，d为时空维数，撇号表示对标量场的导数。该界虽弱于跨普朗克审查猜想（后者适用于流向场空间渐近且无隧穿的经典宇宙学），但因其所需量子引力输入极少且适用于模空间的所有点而具有重要意义。
英文摘要
We show that quasi-de Sitter inflation driven by a nearly flat scalar potential has a finite polynomial lifespan dictated by the interplay between the swampland Distance Conjecture and the generalized Higuchi bound. By analyzing classical scalar rolling and quantum stochastic diffusion, we demonstrate that for any arbitrarily high but fixed statistical confidence, a universe cannot live longer than $\sim \min\left\{\ln(\frac{1}{H})\frac{\sqrt V}{V'},V^{-\frac{d-1}{2}}\ln^2(\frac{1}{H})\right\}$ in reduced Planck units while remaining Higuchi-consistent, where $H$ is the Hubble parameter, $V$ is the scalar potential, $d$ is the number of spacetime dimensions, and prime denotes derivative with respect to the scalar field. This bound despite being weaker than the Trans-Planckian Censorship Conjecture, which has been argued for classical cosmologies that flow to the asymptotic of the field space without tunneling, is powerful given its minimal quantum gravity input and applicability to all points in the moduli space.
Comments21 pages
