On Thursday, January 30, 2020 at 11:21:25 AM UTC-6, Alan Grayson wrote:
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>
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> 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*
>
I did below
LC
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>
>> 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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