B Could Our Location in a Supervoid Alter the Hubble and Acceleration Parameters?

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The discussion centers on whether residing in a supervoid could influence the Hubble and acceleration parameters. Participants question the strength of experimental evidence supporting our location in a supervoid and its potential effects on redshift measurements of Cepheid variables and distant galaxies. There is uncertainty regarding how a lower local gravitational pull, attributed to the supervoid, might impact observed redshifts and the consensus values of cosmological parameters. The complexity of these interactions is acknowledged, indicating that the relationship between local density and expansion rate is not fully understood. Overall, this area remains an open field for research, with many questions still unanswered.
Carlos L. Janer
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Is the experimental evidence pointing to the fact that we inhabit a supervoid sufficiently strong? In case it were a likely scenario, could this fact have any effect on the consensus value of the Hubble parameter at present time? And on the acceleration parameter?

The reasons behind these crazy questions are:

Could the local (in our supervoid) Cepheid I standard candels have a significant redshift due to a weak local gravitational pull inside the void and a strong one outside it? Could this non-expansion related redshifts be significant and introduce errors in the measurement of more distant galaxies redshifts?
 
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Carlos L. Janer said:
Is the experimental evidence pointing to the fact that we inhabit a supervoid sufficiently strong?

This is an open area of research, so your questions are premature. We don't know for sure yet how much of a "supervoid" we are in, or what the effects of one, if we are in one, are on our observations.

Carlos L. Janer said:
non-expansion related redshifts

If we are in a "supervoid", that does not mean that whatever effects that has on observed redshifts are "non-expansion related". What you are calling a "lower local gravitational pull" is just a lower average density of matter, which, heuristically, affects the local "expansion rate" (it's more complicated than that, and as above, we don't fully understand yet how all this works, hence the "heuristically").
 
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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