The essential point is that the absolute magnitudes are calculated using concordance cosmology and hence the selection of candidates is dependent on the luminosity-distance modulus given by concordance cosmology.
Thus if a distant supernova is chosen to have the standard absolute magnitude using concordance cosmology then its true absolute magnitude will be weaker and its width will be wider.
I was more interested in the first paper.
The standard understanding, starting with Norris (2002) and Bloom et al. (2003), is that time dilation is present but because of an inverse relationship between luminosity and time measures it cannot be seen in the raw data.
Time dilation provides a much stronger test of universal expansion than the Hubble redshift of frequencies.
I didn't know there were so many studies done on GRB time dilation issue already.
QSO's fail to show time dilation. GRB fail to show time dilation. The objects are behaving very badly for BBT expectations. Somebody needs to remind them that the universe is expanding.
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