How the usual plots of the Big Bang evolution of the Universe creates wrong impression of slow increase of observed distances with z

             As it was already mentioned in this blog [1] the supernovae images at high Z are completely incompatible with Big Bang cosmology and hints onto the presence of light scattering and tired light mechanism instead. It was interesting to consider how the supernovae type 1A brightness curve would change at very high Z from point of view of Big Bang distances being predicted. 

            The usual plots of history of Universe with linear scale on X-axis for Z instead of distances for Big Bang cosmology are extremely misleading. While they create an impression that the observed distance to far object somewhat proportional to Z, the real distances expressed in light traveling time (re-calculated to distances using the constant speed of light) are enormously non-linear [2]. At higher Z>3 all the galaxies, supernovae are essentially placed on relatively thin (2 billions of light years) shell placed at around 12.5 billions of light years away:

This picture is taken from [2]

More correct representation closer to real scale of the distances traveled by light from the distant galaxies would be like this one:

Tolman effect usually refers to the brightness of galaxies (must be weaker for similar galaxies because the space-time expanded and increased the angular size of galaxy, thus dropping the brightness as seen from Earth). But a similar effect may be attributed to the resolution: because of space-time expansion the visible angular size of galaxies must be larger and since they all at approximately the same distance from Earth (as observed, not today's distance) they must have higher resolution. The space-time expansion of the Big Bang must work as a magnifying lens, greatly enhancing any feature.

            Exactly opposite is observed by James Webb Space Telescope - the resolution is poorer and poorer as Z increases. This is impossible for Big Bang cosmology but easily explained by tired light cosmology - in this case there is no such "shell" for galaxies, while the distance ladder is not really linear, it is much less non-linear. For static Universe z=1 would correspond to ~10 billions of light years, z=3 to approximately 20 billions of light years, z=7 to approximately 30 billions of light years and z=15 to approximately 40 billions of light years. No problem the galaxies at z~13-14 is not resolved at all - it is 2 times further compare to z=3 and 4 times further compare to z=1. Even JWST can not resolve galaxies at so high distance, by pure chance they are bright enough to be visible at least as blurry patch.

References.

1.Tipikin: The higher Z, the stronger the effect of light scattering present in the supernova images. Supernova at Z=3.6 looks gigantic.

2.I made this Look-back Time by Redshift chart while checking Explainxkcd's math for 2853: Redshift : r/xkcd