On Sunday, March 17, 2019 at 12:12:58 PM UTC-6, Brent wrote:
>
>
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> On 3/17/2019 4:50 AM, agrays...@gmail.com <javascript:> wrote:
>
>
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> On Sunday, March 17, 2019 at 3:05:14 AM UTC-6, agrays...@gmail.com wrote: 
>>
>>
>>
>> On Sunday, March 17, 2019 at 2:49:43 AM UTC-6, Bruce wrote: 
>>>
>>> On Sun, Mar 17, 2019 at 7:38 PM <agrays...@gmail.com> wrote:
>>>
>>>>
>>>>
>>>> On Thursday, March 14, 2019 at 8:27:58 PM UTC-6, agrays...@gmail.com 
>>>> wrote: 
>>>>>
>>>>> IIUC, the combined mass of an electron and proton is larger than the 
>>>>> hydrogen atom they form at recombination time. Thus, I would expect a 
>>>>> very 
>>>>> narrow pulse of energy as a result when recombination occurs. This 
>>>>> apparently being the case, why does the CMBR have a black body 
>>>>> distribution 
>>>>> and not a pulse with a very narrow spread? TIA, AG
>>>>>
>>>>
>>>> Is this a really dumb question and the reason for zero replies; or is 
>>>> it because no one here has the answer? Or maybe just no interest in 
>>>> another 
>>>> puzzle? AG
>>>>
>>>
>>> Dumb question. CMB is thermal radiation, not the recombination energy. 
>>> It reflects the temperature at the time the universe became transparent to 
>>> radiation of all wavelengths -- because the electron-proton plasma 
>>> recombined to form less reactive hydrogen.
>>>
>>> Bruce 
>>>
>>
>> But the recombination energy must be part of the mix at recombination 
>> time and this is never mentioned in the texts I have read. I suppose this 
>> is another dumb question. AG 
>>
>
> What this thread shows is that I don't understand the CMBR. Maybe no one 
> does. ISTM that the universe was cooling *prior* to recombination time 
> and therefore must have had a thermal spectrum *independent* of the 
> recombination. Yet the going assumption, AFAICT, is that the CMBR *comes 
> into existence* at recombination time, but is independent of the physical 
> recombination which is never included or mentioned as part of the observed 
> spectrum.  Can anyone explain what is actually going on in this model? TIA, 
> AG
>
>
> Your mistake is assuming that this recombination is one big jump from 
> complete dissociation to bound hydrogen atom.  A hydrogen atom has lots of 
> energy states and, as the plasma cooled due to expansion, there would be a 
> continuous shift of energy from the proton/electron to the gamma rays.
>
> Brent
>

In fact, hydrogen has a countably infinite set of energy states, which I 
forgot. Is it correct to say that these recombination states form the 
thermal signature which is observed (in which case Bruce's explanation is 
misleading)? AG  

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