AI 中文总结
该研究基于第一性原理无参数预测渐近加速度标度，其值经弱引力透镜测定验证，打通了宇宙学、星系动力学与渐近标度的逻辑链，且无需调参与重子建模。
AI 中文摘要
此前，基于背景哈勃膨胀率$H$和光速$c$，从第一性原理推导出了异常星系动力学的德西特转变标度$a_{dS}=cH$，该标度引入了跨越$a_{dS}$的$C^0$转变，与$\rm \u039CDM$星系模型的预测存在$6\boldsymbol{\u03c3}$的张力。追踪晚期宇宙学，基于$H$和减速参数$q$，在无可调参数的情况下预测了深渐近加速度标度$a_0^{th}\u22431.66\times10^{-8}\text{cm}\text{s}^{-2}$。近期对$a_0^{\rm WL}=1.63_{-0.20}^{+0.23}\times10^{-8}\text{cm}\text{s}^{-2}$的弱引力透镜测定，为该预测提供了独立的经验检验。与更新后的理论值$a_0^{th}=1.63_{-0.14}^{+0.13}\times10^{-8}\text{cm}\text{s}^{-2}$的一致性，打通了宇宙学、星系动力学与渐近标度之间的逻辑链。与旋转曲线的唯象拟合不同，该结果不依赖于调参或重子建模，而是直接源自背景宇宙学。这一无参数模型提出了一些可由覆盖有限红移范围的星系巡天开展的进一步检验。
英文摘要
The de Sitter transition scale $a_{dS}=cH$ to anomalous galaxy dynamics was previously derived from first principles based on the background Hubble expansion $H$ and the velocity of light $c$. It introduces a $C^0$-transition across $a_{dS}$, which is in tension with predictions of $Λ$CDM galaxy models at a significance of $6σ$. Tracing late-time cosmology, it predicted the deep-asymptotic acceleration scale $a_0^{th}\simeq 1.66\times 10^{-8}{\rm cm\,s^{-2}}$ without adjustable parameters based on $H$ and the deceleration parameter $q$. A recent weak-lensing determination of $a_0^{WL} = 1.63_{-0.20}^{+0.23}\times 10^{-8}{\rm cm\,s}^{-2}$ now provides an independent empirical test of this prediction. The agreement with the updated theoretical value $a_0^{th} = 1.63_{-0.14}^{+0.13}\times 10^{-8}{\rm cm\,s^{-2}}$ closes the logical chain between cosmology, galaxy dynamics, and asymptotic scaling. Unlike phenomenological fits to rotation curves, this result does not rely on tuning or baryonic modeling but follows directly from background cosmology. This parameter-free model suggests some further tests by galaxy surveys extending over a finite range of redshifts.
Comments5 pages, 1 figure
Journal refMNRAS (Letters section) 548 1 (2026)
