通过距离对偶关系检验宇宙不透明度的失败
The failure of testing for cosmic opacity via the distance-duality relation
摘要：
光度距离$D_L$和角直径距离$D_A$之间的距离对偶关系（DDR）被认为是检验宇宙不透明性的有力工具，独立于任何宇宙学模型。它被许多作者应用，他们大多证实了它的有效性，并报告了宇宙的可忽略不计的不透明性。然而，一个彻底的分析表明，在宇宙不透明度测试中应用DDR是棘手的。由于对$D_L$数据在宇宙不透明度方面的非唯一解释以及目前可用的$D_A$数据的准确性相当低和程度不足，其适用性受到很大限制。此外，作者通常假设宇宙不透明度是频率无关的，并在他们的测试中通过规定的唯象函数将其参数化。通过这种方式，他们只是证明了宇宙不透明性并不遵循他们的假设。因此，迄今为止，还没有令人信服的证据表明宇宙的透明度使用DDR。
英文摘要：
The distance-duality relation (DDR) between the luminosity distance $D_L$ and the angular diameter distance $D_A$ is viewed as a powerful tool for testing for the opacity of the Universe, being independent of any cosmological model. It was applied by many authors, who mostly confirm its validity and report a negligible opacity of the Universe. Nevertheless, a thorough analysis reveals that applying the DDR in cosmic opacity tests is tricky. Its applicability is strongly limited because of a non-unique interpretation of the $D_L$ data in terms of cosmic opacity and a rather low accuracy and deficient extent of currently available $D_A$ data. Moreover, authors usually assume that cosmic opacity is frequency independent and parametrize it in their tests by a prescribed phenomenological function. In this way, they only prove that cosmic opacity does not follow their assumptions. As a consequence, no convincing evidence of transparency of the universe using the DDR has so far been presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
