On Monday, September 16, 2024 at 12:17:45 PM UTC-6 Jesse Mazer wrote:

The Scientific American article "Misconceptions About The Big Bang" by 
Charles Lineweaver and Tamara Davis at 
https://www.mso.anu.edu.au/~charley/papers/LineweaverDavisSciAm.pdf 
(distilled from their more technical review 'Expanding Confusion' at 
https://arxiv.org/abs/astro-ph/0310808 ) covers this question on p. 42-43, 
along with other common misconceptions:

"Running to Stay Still
the idea of seeing faster-than-light galaxies may sound mystical, but it is 
made possible by changes in the expansion rate. Imagine a light beam that 
is farther than the Hubble distance of 14 billion light-years and trying to 
travel in our direction. It is moving toward us at the speed of light with 
respect to its local space, but its local space is receding from us faster 
than the speed of light. Although the light beam is traveling toward us at 
the maximum speed possible, it cannot keep up with the stretching of space. 
It is a bit like a child trying to run the wrong way on a moving sidewalk. 
Photons at the Hubble distance are like the Red Queen and Alice, running as 
fast as they can just to stay in the same place.

One might conclude that the light beyond the Hubble distance would never 
reach us and that its source would be forever undetectable. But the Hubble 
distance is not fixed, because the Hubble constant, on which it depends, 
changes with time. In particular, the constant is proportional to the rate 
of increase in the distance between two galaxies, divided by that distance. 
(Any two galaxies can be used for this calculation.) In models of the 
universe that fit the observational data, the
denominator increases faster than the numerator, so the Hubble constant 
decreases. In this way, the Hubble distance gets larger. As it does, light 
that was initially just outside the Hubble distance and receding from us 
can come within the Hubble distance. The photons then find themselves in a 
region of space that is receding slower than the speed of light. Thereafter 
they can approach us.

The galaxy they came from, though, may continue to recede superluminally. 
Thus, we can observe light from galaxies that have always been and will 
always be receding faster than the speed of light. Another way to put it is 
that the Hubble distance is not fixed and does not mark the edge of the 
observable universe.


*I don't think this is the consensus view, which is that the Hubble 
constant IS constant, and galaxies beyond our event horizon will never be 
seen, if the universe in their region is expanding faster than c. AG *


What does mark the edge of observable space? Here again there has been 
confusion. If space were not expanding, the most distant object we could 
see would now be about 14 billion light-years away from us, the distance 
light could have traveled in the 14 billion years since the big bang. But 
because the universe is expanding, the space traversed by a photon expands 
behind it during the voyage. Consequently, the current distance to the most 
distant object we can see is about three times farther, or 46 billion 
light-years."


*But within the observable universe, space is expanding at a rate less than 
c. Correct? So the 46 BLY distance doesn't seem right. AG*
 


On Mon, Sep 16, 2024 at 12:53 AM Alan Grayson <[email protected]> wrote:

It's claimed to be 46 billion LY, but its age is only measured as 13.8 
billion years. What I find puzzling about these numbers is that it seems 
this would imply the rate of expansion must have been greater than c during 
its lifetime. But AFAICT, the measured rate of expansion using Hubble's law 
never exceeded light speed before it reached its present size. Can anyone 
explain this apparent discrepancy? TY, AG 

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