论文标题
在Barrow的可变速度的背景下，分析Pantheon Sneia数据
Analyzing Pantheon SNeIa data in the context of Barrow's variable speed of light
论文作者
论文摘要
我们分析了IA型超新星的合并万神殿样本，同时允许光的速度变化，这是Barrow [phys Inal [phys phys Inal''的尺度因子$ c \ propto a^{ - ζ} $的函数。修订版D 59，043515（1999）]。光速度的变化产生了类似于折射现象的效果，该效果是在波动速度不同的介质中传播的波浪。我们阐明了重力结合区域的局部规模在协助折射效应以表现出来的作用。折射效应改变了红移公式（Lemaitre，距离VS-Z，光度距离VS-Z），并保证对万神殿数据集进行新的分析。在对距离红移关系进行重新重新制定后，我们实现了万神殿数据集对可变光速方法的高质量拟合。拟合度与标准$λCDM$型号中获得的拟合度一样强大。我们发现，万神殿数据集与功能形式的可变光速一致：$ a \ propto t^μ$和$ c \ propto a^{1-1/μ} $，cosmic $ $ $ t_ {0} \ y约13.9 $ gy作为免费参数，而$μ$ unsun $ $ $ $ gy; （ii）重力结合对象的局部规模的单调变化（适用于发射源和基于太阳系的设备/观察者）。由于（II）中的代理，Pantheon数据集的高Z部分将产生“有效” $ H_ {0} $估计值，该估计比从数据集的低Z部分获得的$ H_ {0} $估计值低10％。我们通过可变速度的光速进行了对加速扩张的替代解释，作为（ii）中发现的代理的副产品，对“解决”哈勃常数估计中持续的张力的暂定建议。
We analyze the Combined Pantheon Sample of Type Ia supernovae while allowing the velocity of light to vary as a function of the scale factor $c\propto a^{-ζ}$, as initiated by Barrow [Phys. Rev. D 59, 043515 (1999)]. The variation in the velocity of light creates an effect akin to the refraction phenomenon which occurs for a wave traveling in a medium with varying speed of wave. We elucidate the role of the local scale of gravitationally-bound regions in assisting the refraction effect to manifest. The refraction effect alters the redshift formulae (Lemaitre, distance-vs-z, luminosity distance-vs-z) and warrants a new analysis of the Pantheon dataset. Upon a reformulation of the distance-redshift relations, we achieve a high-quality fit of the Pantheon dataset to the variable light speed approach; the fit is as robust as that obtained in the standard $ΛCDM$ model. We find that the Pantheon dataset is consistent with the variable light speed of the functional form: $a\propto t^μ$ and $c\propto a^{1-1/μ}$ with (i) the cosmic age $t_{0}\approx 13.9$ Gy as a free parameter, while $μ$ is unspecified; and (ii) a monotonic variation in the local scale for gravitationally-bound objects (applicable to the emission sources and the Solar System-based apparatus/observer). Due to the agent in (ii), the high-z portion of the Pantheon dataset would produce an "effective" $H_{0}$ estimate which is 10 percent lower than the $H_{0}$ estimate obtained from the low-z portion of the dataset. We offer an alternative interpretation of the accelerating expansion by way of variable speed of light, and as a by-product of the agent uncovered in (ii), a tentative suggestion toward "resolving" the ongoing tension in the Hubble constant estimates.
