On Thursday, January 30, 2020 at 10:16:48 AM UTC-7, Lawrence Crowell wrote:
>
> On Wednesday, January 29, 2020 at 2:57:25 AM UTC-6, Alan Grayson wrote:
>>
>> Considering the distant galaxies, they're receding at near light speed.
>> So according to SR, their clocks should be ticking at a much slower rates
>> than, say, a local clock in our galaxy. OTOH, there's a physical clock for
>> the entire universe; namely, the temperature of the CMBR. If we tell time
>> by this clock, all clock readings of all galaxies are identical. So which
>> is it? Are clocks in distant galaxies running slower than a local clock in
>> our galaxy, or are both clocks running at the same rate? TIA, AG
>>
>
> The physics with distant galaxies is general relativistic, not special
> relativity.
>
*I know. Now, if you can, please answer my question. AG*
> The redshift factor v = Hd, in the near linear form, has the redshift
> factor v/c = z = Hd/c. In the FLRW metric this is a bit more general with z
> = e^{Ht} - 1, where for small HT << 1 then t = d/c and z =~ Ht. The reshift
> factor for the CMB is z = 1100, which means that anIR photon with
> wavelength 1000nm is expanded to 1100 microns, or a millimeter. The peak of
> the CMB blackbody radiation is 160 GHz and this was produced by radiation
> peaked at 17.6x10^{4}GHz. This is in the IR region with a wavelength of
> 5,87x10^{-5}cm, in the IR, The z multiplicative factor is the same as a
> time dilation, where we can think of these red shifted photons are
> representing the slowdown of clocks (clocks being the quantum oscillations
> of atoms etc) in this surface of last opaque scatter.
>
> LC
>
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