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Nov 7, 2018 at 22:04 comment added ProfRob As I explained, you don't "know" the current value. It is $\Omega_b$ times the critical density.
Nov 7, 2018 at 21:49 comment added user32023 @RobJeffries - Redshift is model independent. If I know the temperature now (2.75K) I can determine the temperature at z=1090 by the formula $T = T_0(1+z)$. Why can't I do the same thing with the density of hydrogen if I know the present value: $(n_p+n_H)(z)=1.6(1+z)^3$? That would remove the Cosmological model from at least the Sound Horizion and Distance to LS calculations.
Nov 7, 2018 at 21:36 comment added ProfRob The CMB is not a picture of the universe at some point in time. I have explained that the universe does not become transparent to the CMB at a single temperature. Neither can the estimate of what that range of temperatures is be entirely divorced from a model of what the baryonic density is as a function of redshift, since ionisation depends on temperature and density. The whole point of CMB studies is that CMB properties do depend on cosmological models and parameters.
Nov 7, 2018 at 13:13 comment added user32023 I agree that the question appears to be confusing and that's related to my naive understanding of the subject matter. The CMB is a picture of the universe at some point in time. I want to know what the temperature of the universe was when that picture was created. If it's a range of values, then how do you accurately calculate the Sound Horizon and the distance to the Surface of Last Scattering?
Nov 7, 2018 at 12:22 comment added ProfRob The 1090 number in that paper has a very specific meaning. It is the redshift at which the optical depth to Thomson scattering is 1 between now and that redshift. It is not the answer to the question you asked. It is the peak of the so-called "visibility function". Photons in the microwave background arrive at Earth from a range of redshifts.
Nov 7, 2018 at 1:18 history answered user32023 CC BY-SA 4.0