On 1/22/2020 6:38 PM, Alan Grayson wrote:


On Wednesday, January 22, 2020 at 1:34:00 PM UTC-7, Lawrence Crowell wrote:

    On Wednesday, January 22, 2020 at 11:33:04 AM UTC-6, John Clark
    wrote:

        On Wed, Jan 22, 2020 at 12:06 PM Lawrence Crowell
        <[email protected]> wrote:

            > /It is then possible to have an expanding accelerated
            cosmos that is spherically closed./


        So if I keep going I will eventually return to where I started
        even though everything is constantly getting more distant from
        me and is doing so at an accelerating rate?

         John K Clark


    For an accelerated expansion of the sphere there is a cosmological
    horizon that one can't cross. in other words, the sphere will keep
    expanding faster than you can ever go. Think of the scene in the
    movie "/The Shining/" with Jack Nicholson where the hotel hallway
    telescoped away faster than he could run.

    LC


I don't think it depends on acceleration. As long as the universe expands, even at a constant rate, at some distance, the distance between, say, an Earth observer, and some terminal point along a line of sight, will exceed 300,000 km (the distance light travels in one second) and points beyond that will keep increasing the increment every second, creating a cosmological horizon that light cannot cross.

That's not quite right.  Light can cross it just fine.  But a photon crossing it toward us, can never reach us.  This is how the Hubble boundary differs from a black hole event horizon.

Brent

This is because the creation of the horizon is purely a geometric effect of the expansion, and the rate of expansion is irrelevant. AG
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