Is there a standard distance/z data set for cosmology given new measurements?

Question

I've seen this data set in a few places.

Found here: https://lco.global/spacebook/light/redshift/

Do the measurements from SH0ES and Planck that cause the Hubble tension alter this table?

I can find the H_0 from each of this studies, and I can assume the Planck measurement applies to a range of > 13 billion years, but what range does SH0ES apply to, and how does each affect the zcolumn?

---

I came back to edit this to provide the chart I made using WolframAlpha. Full list of data and sources here:

https://mikehelland.github.io/hubbles-law/notes/zdata_full

Units are billion years and billion light years.

z       [H=74 lookback     co-distance]   [H=67.4 lookback    co-distance]
--------------------------------------------------------------------------
 1              7.4        10.4                    8.1        11.4 
 2              9.8        16.4                   10.8        18.0 
 3             11.0        20.1                   12.1        22.1 
 4             11.6        22.8                   12.7        25.0 
 5             11.9        24.7                   13.1        27.1 
 6             12.2        26.2                   13.4        28.8 
 7             12.3        27.5                   13.5        30.2 
 8             12.4        28.5                   13.7        31.3 
 9             12.5        29.4                   13.8        32.2 
10             12.6        30.1                   13.8        33.0 
11             12.7        30.7                   13.9        33.8 
12             12.7        31.3                   14.0        34.4 
13             12.7        31.8                   14.0        34.9 
14             12.8        32.3                   14.0        35.4 
15             12.8        32.7                   14.1        35.9 
16             12.8        33.1                   14.1        36.3 
17             12.8        33.4                   14.1        36.7 
18             12.9        33.7                   14.1        37.0 
19             12.9        34.0                   14.1        37.4 
20             12.9        34.3                   14.2        37.7 
21             12.9        34.6                   14.2        37.9 
22             12.9        34.8                   14.2        38.2 
23             12.9        35.0                   14.2        38.4 
24             12.9        35.2                   14.2        38.7 
25             12.9        35.4                   14.2        38.9                                                                                                                                                                                                         

Answer 1

Do the measurements from SH0ES and Planck cause the Hubble tension to alter this table?

No, it does not. The problem with the $H_0$ tension is most likely due to the $\Lambda$CDM model (e.g., we need an another model)

The Hubble tension is about the disagreement in the value of the $H_0$. If you try to measure the Planck constant at the moon in the far future or in the past and in Neptune or any other place, it should give you the same answer. Because it is a constant. Similarly the early and late universe Hubble constant measurements should agree with each other but they do not. There are a couple of cosmological parameters in the $\Lambda$CDM model such as $\Omega_mh^2$, $\Omega_bh^2$, and $\theta_*$, which can be precisely determined from the CMB measurements. These measurements allow us to calculate the $H_0$ for the $\Lambda$CDM model. Remember that different models give different $H_0$ results.

When you consider the $\Lambda$CDM model you'll obtain $H_0\approx 67.6$ but when we measure $H_0$ locally we obtain $H_0 \approx 74$.

The local measurements do not use any cosmological model to obtain $H_0$ (At least they are trying to). For instance, the SH$0$ES uses a technique called local distance ladder to measure the $H_0$. In this method, they are observing the SNIa's in the range of $0.0233<z <0.15$.

In this case, we know that $z$ will not change since there is no change in the equations if you are still considering the $\Lambda$CDM model.