关于H0稳定性与逆距离阶梯
On The Stability Of $H_0$ And The Inverse Distance Ladder
AI总结：
该研究指出，基于Ia型超新星的逆距离阶梯方法无法解释哈勃张力，因其受CMB限制，且Ia型超新星测量精度限制了H0的可能变化范围。
摘要：
逆距离阶梯利用Ia型超新星的相对距离测量，以巴里音振荡（BAO）和宇宙微波背景（CMB）确定的绝对距离尺度为基准，提供了一种测量局部膨胀率H0的替代技术。利用暗能量调查中的Ia型超新星数据和暗能量光谱仪器的BAO测量数据，我们表明逆距离阶梯无法解释哈勃张力，因为它以CMB和其H0=67.4±0.5 km/s/Mpc的值为基准。为此，我们首先显示在仅使用Ia型超新星进行宇宙学分析时考虑的系统误差仅能将推导出的H0改变小于0.1 km/s/Mpc，其次我们研究了红移依赖的视星等变化幅度的规模，以改变推导出的逆距离阶梯H0从67到本地距离测量网络的73，以及这对其他使用Ia型超新星进行的宇宙学推断的影响。我们发现需要dμ/dz=0.2 mag的变化才能推导出与本地距离测量一致的H0，而这一dμ/dz值会导致平坦ΛCDM模型中的Ω_M=0.23，与其他宇宙学探测结果存在10σ的分歧，{表明Ia型超新星测量的精度限制了必要的红移演变以得到74 km/s/Mpc的H0}。因此，我们得出结论，当前的Ia型超新星宇宙学留下的自由度很小，使逆距离阶梯无法推导出显著不同于67 km/s/Mpc的H0值。
英文摘要：
The `Inverse Distance Ladder' uses relative-distance measurements with type Ia supernovae (SNe Ia), anchored to an absolute distance scale from Baryon Acoustic Oscillations (BAO) and the cosmic microwave background (CMB), to provide an alternative measurement technique for the local expansion rate $H_0$. Using SNe Ia from the Dark Energy Survey and BAO measurements from the Dark Energy Spectroscopic Instrument, we show that the inverse distance ladder is unable to explain the Hubble Tension, anchored as it is to the CMB and its value of $H_0 = 67.4 \pm 0.5$ kms$^{-1}$ Mpc$^{-1}$. To do so, we first show that the suite of systematics considered in cosmology analyses with SNe Ia only move the inferred $H_0$ by $<0.1$kms$^{-1}$ Mpc$^{-1}$, and second, we investigate the scale of redshift-dependent magnitude changes necessary to change the inferred inverse distance ladder $H_0$ from $67$ to the local network of distance measurements value of $73$, and the impact that this would have on other cosmological inferences with SNe Ia. We find that a change of $dμ/dz = 0.2$ mag would be necessary to infer an $H_0$ in concordance with local distance measurements, and that this $dμ/dz$ value would result in a Flat $Λ$CDM $Ω_M = 0.23$, $10σ$ discrepant with other cosmological probes, {indicating that the precision of SNe Ia measurements preclude the necessary redshift evolution for an $H_0$ of 74 kms$^{-1}$ Mpc$^{-1}$}. Therefore, we conclude that current SN Ia cosmology leaves little freedom for the inverse distance ladder to yield $H_0$ values significantly different from $67$ kms$^{-1}$ Mpc$^{-1}$.
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