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and eternal Doppler in this cycle and the next one.
https://astronomy.stackexchange.com/questions/58066/
https://joemonster.org/blog/18241/



z=1100 is the CMB redshift. Scale Factor plot's Doppler line represents the scale factor as a function of the redshift a/a0=1/(z+1) where z is the Doppler redshift as a function of time instead of velocity. Time and velocity are related by v/c=t_v/t_c.

If the scale factor represents or is equal to the average distance between the galaxies, then it increases altogether with the redshift, but it also must be equal to the inverse of the redshift at each point on its curve. This is contradiction, because the redshift cannot increase with the scale factor and decrease as its inverse at the same time. If we don't fix it, we have a broken cosmology. I'm proposing a fix and asking is it correct.

My error in interpretation of a(t)=1/(z+1)
https://joemonster.org/blog/18271/

Time symmetry of Doppler expansion
https://joemonster.org/blog/18274/

Below is the same plot in two different scales - Doppler's redshift vs time. Our time is zero.







https://en.wikipedia.org/wiki/Hubble%27s_law#Interpretation
https://en.wikipedia.org/wiki/Scale_factor_(cosmology)
https://lambda.gsfc.nasa.gov/education/graphic_history/microwaves.html

Cała naprzód k*a!