> On 14 Sep 2019, at 05:22, Alan Grayson <agrayson2...@gmail.com> 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 <agrays...@gmail.com 
> <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. 
> 
> 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


Tegmark missed this? 

Deutsch did not, and in his book “fabric of reality”, he gave rather good 
argument in favour of Everett-type of multiverse having non countable universe. 
That makes sense with mechanism which give raise to a continuum (2^aleph_0) of 
histories, but the “equivalence class” brought by the measure can have lower 
cardinality, or bigger. Open problem, to say the least.




> 
> 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 
> 
> 
> Is there a copy of you 
> <https://space.mit.edu/home/tegmark/PDF/multiverse_sciam.pdf>
> 
> > Morevover, I don't believe a universe of finite age, such as ours which 
> > everyone more or less agrees began some 13.8 BYA, can be spatially infinite.
> 
> I see no reason in principle why something can't be finite along one 
> dimension and infinite along another dimension.
> 
> In general, one can of course have some dimensions finite and others 
> infinite. But if our universe is finite in time since the BB, 13.8 BY, its 
> spatial extent must be finite, since that's how long its been expanding. AG 

I agree with Grayson here. (Accepting a lot of premises, like the BB is the 
beginning of the physical reality, which I doubt).

Bruno



> 
> John K Clark
> 
> 
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