On 12/29/2017 9:26 PM, [email protected] wrote:


On Friday, December 29, 2017 at 7:45:41 PM UTC-7, [email protected] wrote:



    On Friday, December 29, 2017 at 6:59:22 AM UTC-7, Lawrence Crowell
    wrote:

        The cosmological constant is Λ ~ 10^{-52}cm^{-2} and the scale
        factor evolves as

        a(t) = a_0 exp(t sqrt{Λc^2/3}).

        The factor sqrt{Λc^2/3} ~ 10^{-18}sec^{-1}. For a billion
        years this is t ~ 3x10^{16} sec and so sqrt{Λc^2/3}t ~ .03 and
        the scale factor increases by 1.03. The CMB microwave
        background will be expanded by a small change. In 10 billion
        years this is t ~ 3x10^{17}sec and so sqrt{Λc^2/3}t ~ .3 and
        the scale factor expands by 1.4. At 100 billion and a trillion
        the scale factor expands by 20 and in a trillion years by
        10^{13}. This means the CMB peak wavelength will be about
        10^{10}m. That is not quite the length of the cosmos, but in
        10 trillion years the expansion factor is close to ~ 10^{800}
        which means the wavelength at this point is larger than the
        cosmological horizon scale. At that point the CMB will be
        removed from the view of any observer. The time where
        wavelength becomes longer than the cosmological horizon occurs
        in about 2 trillion years.

        LC

    *
    *
    *Does the CMB just keep getting progressively redder as the cosmos
    expands, or does it actually "wink out", meaning CMB photons which
    we might eventually observe, begin their jurney **beyond our
    horizon? Since no new ones are being created, and the original
    ones are within our immediate neighborhood, like Andromeda, I
    don't see how they can wink out. AG *

*The CMB does "wink out" and the simplest way of seeing this is to recognize that the rate of expansion is a purely geometric effect. It is greater the farther away one is from our present location, consistent with Hubble's law. So if distant galaxies "wink out" when they cross the cosmic horizon, so must photons comprising the CMB since they're coming from an earlier epoch, that is a more **distant **location, beyond all galaxies, where the rate of expansion is greater than it is for all galaxies at all distances. AG*

Look at these spacetime diagrams and you will see that however great the expansion there will remain a part of the CMB that will be visible, but increasingly redshifted, to us.

http://www.astro.ucla.edu/~wright/cosmo_03.htm

Brent

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