Magnitude vs Redshift Supernova 1a

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SUMMARY

The discussion centers on the discrepancies between two graphical representations of magnitude as a function of redshift for Supernova 1a. The first plot is derived from the equation m(z) = constant + 5*log(1 + z - (1 + z)^(1/2)), while the second plot, found on page 7 of the arXiv paper (astro-ph/9812473), presents a linear relationship that does not diverge at z = 0. The difference may stem from the inclusion of a filter transmission function in the second case, as suggested by Bergstrom and Goobar in their work on cosmology and particle astrophysics. Attention to the calibration of the horizontal axis in the arXiv graph is crucial for accurate interpretation.

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The following two graphics are supposed to be the same, but they are not (there is something I am not getting right). After the calculation of m ( z ) (magnitude as a function of redshift) I get the plot of the first link:

-Plot at the bottom (NOT the last one) of
http://www.rqgravity.net/Supernova m (z) = constant + 5*log ( 1 + z - (1 + z)^(1/2) )

-Page 7 of http://arxiv.org/abs/astro-ph/9812473
Here the plot is linear; does not diverge in z = 0.

Maybe the answer is that in the second case, the definition of the magnitude includes a filter transmission function (as hinted in Bergstrom, Goobar, Cosmology and particle astrophysics)? I have to hand in this yesterday : P.
 
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Look carefully at the calibration of the horizontal axis of the graph on page 7 of the arXiv paper.
 
Yes...thank you.
 

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