Universe Expansion - Terminal Velocity?

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The discussion explores the concept of the universe's expansion, likening it to a "falling away" from a singular beginning. It highlights that velocity is relative, complicating the measurement of one object's speed compared to another in the context of general relativity. Observers measuring redshift may find that galaxies can exceed the speed of light due to the cosmological constant, making them unobservable. However, alternative measures suggest that galaxies could always have had superluminal velocities while remaining observable. Ultimately, space expansion does not conform to a terminal velocity, as the speed of light limit applies only to matter within space, not to the expansion itself.
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If one looks at the expansion(increasing in speed) of the universe as a "falling away" from The Beginning(not religious,I just hate the Big Bang term)in all directions,and Time as an expansion rather than a linear progression,What is the terminal velocity of the universe?
 
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Velocity is relative, so you'd have to specify the velocity of some object relative to some other object.

General relativity does not have a uniquely defined notion of the velocity of one object relative to another distant object.

Suppose that you pick as your measure of relative velocity the apparent velocity of galaxy B as determined by its redshift measured by an observer A, who crunches the numbers as if it were a special-relativistic redshift. Then because of the cosmological constant, this velocity will eventually surpass c for any given pair of galaxies A and B, after which B will no longer be observable to A.

On the other hand, there are other measures of relative velocity according to which B could have *always* had a velocity greater than c relative to A, and yet be observable to A: Davis and Lineweaver, Publications of the Astronomical Society of Australia, 21 (2004) 97, msowww.anu.edu.au/~charley/papers/DavisLineweaver04.pdf
 
The Hubble sphere determines expansion rates. A photon that originated in a superluminal patch of spacetime can eventually reach a subluminal patch of spacetime. This is discussed in the Lineweaver paper bcrowell linked.
 
Space expansion doesn't have a terminal velocity that we know of since the speed of light limit doesn't apply to it but only to matter moving within space itself.
 
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