In Section 2 ("The adopted cosmology"):
No reference given, and I for one would really like to see evidence for "the SB of galaxies is strongly correlated with the intrinsic luminosity"! Presumably, the authors are referring to intrinsic luminosity in the UV/optical/NIR, but they don't say so. Ditto SB.
There's also a potential problem re "average" ... it depends on which average is used, and what the SB-intrinsic luminosity relationship is.
I guess one has to take the authors' word for it; again, it would be nice if there were some references.
Here's the caption for Figure1:
The last phrase, "making galaxy selection in luminosity model-independent", is clearly not true, as the figure itself (and the text) shows.
I find the inconsistency in terms - Ωm (Fig 1) vs ΩM (ref to Fig 2) to be not only annoying, but possibly indicative of sloppiness in the research itself. Combined with the - to me - amazing lack of references, it strongly suggests both lax standards re the research, and poor peer-review. The latter is perhaps not surprising, as the reviewers chosen by the Editor of "International Journal of Modern Physics D" were likely not experienced astronomers.
However, the last sentence - "The fit to the actual supernovae data is statistically indistinguishable between the two formulae" - is just too much ... if it's true, then a 'goodness of fit' statistic should have been quoted. Myself, I find it very hard to accept that it's true (more later).
Lerner+ (2014) said:Since the SB of galaxies is strongly correlated with the intrinsic luminosity, for a correct implementation of the Tolman test it is necessary to select samples of galaxies at different redshifts from populations that have on average the same intrinsic luminosity.
No reference given, and I for one would really like to see evidence for "the SB of galaxies is strongly correlated with the intrinsic luminosity"! Presumably, the authors are referring to intrinsic luminosity in the UV/optical/NIR, but they don't say so. Ditto SB.
There's also a potential problem re "average" ... it depends on which average is used, and what the SB-intrinsic luminosity relationship is.
It should be noted that this cosmological model is not the Einstein-De Sitter static Universe often used in literature.
I guess one has to take the authors' word for it; again, it would be nice if there were some references.
The choice of a linear relation is motivated by the fact that the flux-luminosity relation derived from this assumption is remarkably similar numerically to the one found in the concordance cosmology, the distance modulus being virtually the same in both cosmologies for all relevant redshifts. This is shown in Fig. 1 where the two relations are compared to each other [...]
Here's the caption for Figure1:
Comparison of the distance modulus for Vega magnitudes for the adopted Euclidean non-expanding universe with linear Hubble relation cosmology and the concordance cosmology. Upper panel: The distance modulus (m–M) = 25+5Log(cz/Ho)+2.5Log(1+z), where H0 = 70 in km s−1 Mpc−1 as a function of the redshift z for an Euclidean Universe with d= cz/H0 (black line) compared to the one obtained from the concordance cosmology with Ωm = 0.26 and ΩΛ = 0.76 (red line). Middle panel: Ratio of the two distances (concordance/Euclidean). Lower panel: Distance modulus difference in magnitudes(concordance-Euclidean). This graph shows clearly the similarity of the two, making galaxy selection in luminosity model-independent.
The last phrase, "making galaxy selection in luminosity model-independent", is clearly not true, as the figure itself (and the text) shows.
and, in Fig. 2, to supernovae type Ia data. Up to redshift 7, the apparent magnitude predicted by the simple linear Hubble relation in a Static Euclidean Universe (SEU) is within 0.3 magnitude of the concordance cosmology prediction with ΩM = 0.26 and ΩΛ = 0.74. The fit to the actual supernovae data is statistically indistinguishable between the two formulae.
I find the inconsistency in terms - Ωm (Fig 1) vs ΩM (ref to Fig 2) to be not only annoying, but possibly indicative of sloppiness in the research itself. Combined with the - to me - amazing lack of references, it strongly suggests both lax standards re the research, and poor peer-review. The latter is perhaps not surprising, as the reviewers chosen by the Editor of "International Journal of Modern Physics D" were likely not experienced astronomers.
However, the last sentence - "The fit to the actual supernovae data is statistically indistinguishable between the two formulae" - is just too much ... if it's true, then a 'goodness of fit' statistic should have been quoted. Myself, I find it very hard to accept that it's true (more later).