On Friday, September 13, 2019 at 6:27:32 PM UTC-5, Bruce wrote:
>
> On Sat, Sep 14, 2019 at 8:26 AM Stathis Papaioannou <[email protected] 
> <javascript:>> wrote:
>
>> On Sat, 14 Sep 2019 at 08:08, John Clark <[email protected] 
>> <javascript:>> wrote:
>>
>>> On Thu, Sep 12, 2019 at 10:26 PM Alan Grayson <[email protected] 
>>> <javascript:>> 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. 
>>>
>>> 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.
>>>
>>
>> Assuming that the structure of the universe is uniform.
>>
>
> The trouble with all such arguments is that they miss the fact that our 
> initial conditions might have been very special, of measure zero. In an 
> infinite universe there are certainly many copies of individual universes, 
> but they might well all be copies of completely boring lifeless universes.
>
> Bruce 
>

As I indicate a few posts above early today, there are some questions about 
this. Let us consider this within the level II multiverse, and even if 
people do not "believe," a term I dislike using here, that just go along 
with the argument. The inflationary manifold has a huge vacuum energy that 
is unstable. This results in these "Swiss cheese" bubbles of lower energy 
that roll off the inflationary domain and form a pocket that has a 
boundary. To my mind that boundary poses a lot of questions. This will 
contain quantum field information. Does this quantum information go into 
popping this pocket off so it is a topologically complete spacetime? In 
other words this boundary information is transferred into topological 
information, maybe as entanglements etc. Then if so is this topologically 
complete space a sphere S^3 or is it R^3, where in a projective geometric 
setting that topological information is sent to "infinity" or on RP^3. If 
this is sphere then things are finite and this level I multiverse can't be 
complete. If this sphere is small enough it essentially does not exist. It 
it is R^3, or what I really think is interesting is Poincare's dodechedron 
space, then we can have copies and level I multiverse. 

LC

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