On Saturday, September 14, 2019 at 6:02:13 AM UTC-5, Alan Grayson wrote:
>
>
>
> On Saturday, September 14, 2019 at 3:56:42 AM UTC-6, Lawrence Crowell 
> wrote:
>>
>> On Friday, September 13, 2019 at 10:22:38 PM UTC-5, Alan Grayson wrote:
>>>
>>>
>>>
>>> On Friday, September 13, 2019 at 4:08:23 PM UTC-6, John Clark wrote:
>>>>
>>>> On Thu, Sep 12, 2019 at 10:26 PM Alan Grayson <[email protected]> 
>>>> wrote:
>>>>  
>>>>
>>>>> *> Carroll also believes that IF the universe is infinite, then there 
>>>>> must exist exact copies of universes and ourselves. This is frequently 
>>>>> claimed by the MWI true believers, but never, AFAICT, proven, or even 
>>>>> plausibly argued.  What's the argument for such a claim?*
>>>>>
>>>>
>>>> Of course it's been proven! It's simple math, there are only a finite 
>>>> number of ways the atoms in your body, or even the entire OBSERVABLE 
>>>> universe, can be arranged so obviously if the entire universe is infinite 
>>>> then there is going to have to be copies, an infinite number of them in 
>>>> fact. Max Tegmark has even calculated how far you'd have to go to see 
>>>> such a thing. 
>>>>
>>>
>>> What I think you're missing (and Tegmark) is the possibility of 
>>> UNcountable universes. In such case, one could imagine new universes coming 
>>> into existence forever and ever, without any repeats.  Think of the number 
>>> of points between 0 and 1 on the real line, each point associated with a 
>>> different universe. AG
>>>
>>>>
>>>> Your closest identical copy is 10^12 light years away. About 10^76 
>>>> light years away there is a sphere of radius 100 light-years identical to 
>>>> the one centered here, so everything we see here during the next century 
>>>> will be identical to those of our counterparts over there. And 10^102 
>>>> light 
>>>> years away the is a exact copy of our entire observable universe. And all 
>>>> this is true regardless of if the Many Worlds Interpretation of Quantum 
>>>> Mechanics is correct or not, it only depends on the universe being 
>>>> spatially infinite.
>>>>
>>>
>>> But our universe is NOT spatially infinite if its been expanding for 
>>> finite time, starting very small, as can be inferred from the temperature 
>>> of the CMBR. AG 
>>>
>>
>> This is wrong. The CMB is at a distance of 46 billion light years while 
>> it was also generated 13.8 billion years ago. The more distant things are 
>> the more it is frame dragged by the accelerated expansion, in a sense a 
>> "soft inflationary" expansion. If this were not the case the CMB would have 
>> markedly different characteristics. 
>>
>> LC
>>
>
> Doesn't the high temperature and density at BB +380,000 years imply the 
> universe was small at that time? AG 
>

It implies that matter and radiation had a higher density. Whether the 
space of this cosmology was smaller is problematic. If the space is R^3 
without bounds it makes no sense to say it was smaller. The same if the 
space is the Poincare dodecahedron space.

LC 

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