On Monday, December 11, 2017 at 3:09:19 PM UTC, Lawrence Crowell wrote:
>
> On Sunday, December 10, 2017 at 8:07:15 PM UTC-6, Brent wrote:
>>
>>
>>
>> On 12/10/2017 5:25 PM, Lawrence Crowell wrote:
>>
>>
>>
>> On Sunday, December 10, 2017 at 5:13:38 PM UTC-6, [email protected] 
>> wrote: 
>>>
>>>
>>>
>>> On Sunday, December 10, 2017 at 10:54:11 PM UTC, Lawrence Crowell wrote: 
>>>>
>>>>
>>>>
>>>> On Sunday, December 10, 2017 at 3:34:33 PM UTC-6, [email protected] 
>>>> wrote: 
>>>>>
>>>>>
>>>>>
>>>>> On Saturday, December 9, 2017 at 2:17:38 PM UTC, Lawrence Crowell 
>>>>> wrote: 
>>>>>>
>>>>>> On Saturday, December 9, 2017 at 7:34:29 AM UTC-6, 
>>>>>> [email protected] wrote: 
>>>>>>>
>>>>>>>
>>>>>>> I think you're making the unwarranted assumption that the measured 
>>>>>>> shift in H is not 
>>>>>>> effected by the cosmological red shift which presumably shifts all 
>>>>>>> wave lengths. AG 
>>>>>>>
>>>>>>
>>>>>> Of course it shifts all wavelengths by the same factor. So the 
>>>>>> spectrum of atoms are shifted accordingly. With v = Hd the red shift 
>>>>>> factor 
>>>>>> is z = v/c = H(d/c). for H = 70km/s/Mpc for v = c we then have that d = 
>>>>>> c/H 
>>>>>> = 3x10^{5}km/s/(70Mpc/km/s) = 4.3x10^3Mpc = 1.4x10^{10}ly. So at z = 1 
>>>>>> there lies the cosmological horizon. We now observe galaxies with z = 8 
>>>>>> and 
>>>>>> the CMB has z = 1100. One can however thing of these photons as emitted 
>>>>>> prior to these systems crossing the horizon. 
>>>>>>
>>>>>> LC
>>>>>>
>>>>>
>>>>> Since a parsec is about 3.26 LY and the SoL is about 300,000 km/sec, 
>>>>> the event horizon should be about 300,000/70 * 3.26 * 10^6 = 13971 * 10^6 
>>>>> LY =~ 13971 MLY = 13.971 BLY. But this is a far cry from about 50 BLY, 
>>>>> which is what I think the true distance is to the event horizon. I 
>>>>> probably 
>>>>> didn't account for the intervening expansion. How is accurate calculation 
>>>>> done? TIA, AG
>>>>>
>>>>
>>>> That is about it. There is a bit with significant figures for you might 
>>>> want to use c = 299800km/s.
>>>>
>>>> LC 
>>>>
>>>
>>> But isn't the event horizon much farther out, about 50 BLY? AG 
>>>
>>
>> No that is about where the CMB surface of last scatter lies. 
>>
>>
>> To clarify, you mean where it lies "*now"*; and *"now" *means the 
>> (universe wide) time at which the CMB is 2.7degK.
>>
>> Brent
>>
>
> The photons we observe from the CMB were emitted prior to the ionized gas 
> crossing the cosmological horizon. We see it as it was 380k years after the 
> big bang, with this huge red shifting. This red shifting indicates that on 
> the Hubble frame this stuff is "way out there," in fact at about 47bly 
> beyond the horizon.
>
> LC
>

If I make the correction you suggest, I will get about 13.8 BLY for the 
event horizon, which is the distance a photon would travel if it began its 
journey at t = 0, ignoring the intervening expansion. Is this 
coincidental?  Moreover, the figure of 47 BLY is the current distance of 
the object which emitted said photon. So I don't have to worry about the 
CMB to calculate this value. I think I just need to integrate for the age 
of the universe, but I am not sure what the integrand should be. AG

>  
>
>>
>> It has z = 1100 and is further out beyond the horizon.
>>
>> LC 
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