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At the event horizon radius of a
normal black hole (BH), things 'fall in' at the local speed of light,
or more subtly said, "space itself falls in" at the local speed of
light. At the Hubble radius of our universe, things 'fall out' at the
local speed of light, or more subtly, "space itself falls out" at the
local speed of light.

Now, the latter sounds deceptively much like what white holes (WHs)
are supposed to do - they are the time reversals of BHs and physicists
are quite happy with that. Except for one thing: they cannot find a
mechanisms that would create a WH. And it does not help that we have no
evidence (directly or indirectly) for the existence of WHs in the
heavens. Except perhaps one: the Big Bang - but then, we do not
understand how the BB happened either.
To make the comparison of WHs and BHs somewhat clearer: when an
object free-falls from 'infinity' towards a BH, it theoretically reaches
the local speed of light at the event horizon. Because objects cannot
move at the speed of light through space, it is postulated that at the
event horizon, "space is falling in" at the speed of light and carries
the 'static' object with it. Of course, space is not a "thing that can
fall", but it works like that in the geometry of BHs.
The cosmic equivalent to a "free-fall from infinity" relative to a BH
is a galaxy that is static relative the the rest frame of the CMB
(where a local observer would measure the average temperature of the CMB
to be the same in all spatial directions). If such a galaxy is located
at a distance equal to the Hubble radius from us, its proper distance
from us will grow at one light year every year, i.e. the speed of light.
We can then say that its proper recession rate equals the speed of
light, although it is better to talk about a % increase in distance,
rather than a speed, as will be discussed below.
Again, since a galaxy cannot move through space at the speed of
light, we have to say that space itself is "falling out" through the
Hubble radius (sphere) at the speed of light and carries this 'static'
galaxy with it. This is of course consistent with the expanding universe
principle, where large scale distances increase at a certain % of the
distance for every year that passes.
Presently that rate is 1/144th of one percent of the distance per million years.[1]
So at the Hubble distance of 14,400 million light years (or 14.4
billion light years), the recession speed is 14,400/(144 * 100) = 1
million light years per million years; or just one light year per year,
which is the same rate.
Galaxies farther out than the Hubble radius are receding from us at a
rate exceeding one light year per year. The majority of observable
galaxies sit beyond the Hubble radius, i.e., they recede from us 'faster
than the speed of light'. A galaxy with a redshift of 10 is presently
receding from us at 2.2 light years per year and when the light left
that galaxy (~13.3 billion light years ago), it was receding at over 4
light years per year. Or, more subtly, that galaxy is stationary in
space that 'recede' from us at 4c.
So, what do you think - do we live inside a white hole?
-Jorrie
[1] This is the inverse of the Hubble constant, which is
conventionally expressed as km/sec per Mega-parsec. Its present value is
67.9 km/s per Mpc, which translates to 1/144th of one percent per
million years. One can also say that the present proper cosmic distances
increase by 1% every 144 million years.
Almost paradoxically, despite the present accelerating expansion,
this rate will eventually come down to 1/173th of one percent per
million years and then stay there for as long as we can foresee.
Image credit: www.fromquarkstoquasars.com
-J
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