近日，绵阳师范学院数理学院的吴英及其研究小组与重庆大学的林海南合作并取得一项新进展。经过不懈努力，他们揭示基于时延强引力透镜的宇宙距离对偶关系。相关研究成果已于2025年1月15日在《中国物理C》上发表。

在本研究中，研究人员利用了H0LiCOW提供的四个高精度时延强引力透镜（SGL）系统来检验宇宙距离对偶关系（DDR）的有效性。为此，研究人员将这些SGL系统测得的角直径距离与最新Pantheon+样本中的Ia型超新星光度距离进行了直接比较。

为了减少因红移匹配而产生的统计误差，研究人员采用高斯过程方法来从Pantheon+数据集中重构距离-红移关系。研究人员还在三种不同的模型中对DDR的可能违反进行了参数化。所有结果均在1σ置信水平下证实了DDR的有效性。此外，基于未来LSST巡天的蒙特卡洛模拟表明，利用100个SGL系统，DDR的精度可达到10^-2量级。

据悉，宇宙距离对偶关系（DDR）连接了角直径距离和光度距离，是现代宇宙学的基石。任何偏离DDR的现象都可能暗示着标准宇宙学模型之外的新物理现象。

附：英文原文

Title: Cosmic distance duality relation in light of time-delayed strong gravitational lensing

Author: Li Tang, Hai-Nan Lin, Ying Wu

Issue&Volume: 2025-01-15

Abstract: The cosmic distance duality relation (DDR), which links the angular-diameter and luminosity distances, is a cornerstone in modern cosmology. Any deviation from DDR may indicate new physics beyond the standard cosmological model. In this study, we used four high-precision time-delayed strong gravitational lensing (SGL) systems provided by H0LiCOW to test the validity of DDR. To this end, we directly compared the angular-diameter distances from these SGL systems with the luminosity distances from the latest Pantheon+ compilation of SNe Ia. To reduce the statistical errors arising from redshift matching, a Gaussian process method was applied to reconstruct the distance-redshift relation from the Pantheon+ dataset. We parameterized the possible violation of DDR in three different models. All results confirm the validity of DDR at 1σ confidence level. Additionally, Monte Carlo simulations based on the future LSST survey indicated that the precision of DDR could reach the 10^-2 level with 100 SGL systems.

DOI: 10.1088/1674-1137/ad83a8

Source: http://hepnp.ihep.ac.cn/article/doi/10.1088/1674-1137/ad83a8