Report on expansion history of universe

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The paper discusses the expansion history of the universe, focusing on the last ten E-foldings and their implications for cosmic microwave background (CMB) observations. It highlights how small historical perturbations, such as those caused by sound and temperature variations, can influence the CMB, effectively retaining a memory of these events. The sensitivity to the microphysics of components, including their sound speed, is crucial for understanding these perturbations. This analysis contributes to a deeper comprehension of the universe's expansion dynamics. The discussion emphasizes the importance of CMB data in revealing the universe's history.
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That is a good article the data on the last 10 E foldings is interesting
 
What do they mean by [providing sensitivity to the microphysics of components,
e.g. their sound speed.]
 
The simple explanation if I'm reading that line correctly is that small historical perturbations will show in the CMB background I.E. perturbations caused by sound, temperature variations etc. The CMB will keep a memory of those past perturbations.

by the way welcome to the forum
 
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?

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