On Saturday, September 14, 2019 at 7:29:33 AM UTC-6, Alan Grayson wrote:
>
>
>
> On Saturday, September 14, 2019 at 7:18:40 AM UTC-6, John Clark wrote:
>>
>> On Fri, Sep 13, 2019 at 11:22 PM Alan Grayson <[email protected]> 
>> wrote:
>>
>> *> 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*
>>>
>>
>> There is no reason to think physics needs all the real numbers and 
>> considerable evidence to think it does not. To my mind the strongest 
>> evidence is that a physical Turing Machine is incapable of even 
>> approximating most real numbers, I happened to have posted a proof of this 
>> yesterday on the "Observation versus assumption" thread.
>>
>
Physics doesn't need *all* the real numbers, just some of them, say any 
continuous range of any variable; like the mass of the electron. FWIW, I am 
convinced there are no exact copies of any universes or ourselves. AG 

>
>> Actually, physics might not even need all the rational numbers as there 
>> is probably a grainy structure to both space and time. Distances can't get 
>> smaller than the Planck Length and time shorter than the Planck Time. Maybe.
>>  
>>
>>> >> 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,*
>>>
>>
>> Sure it can, space could have started out infinitely large 13.8 billion 
>> years ago and still be expanding today, it could even be accelerating. The 
>> radius of the observable universe is 45.5 billion light years ( the light 
>> from the most distant galaxies took 13.8 billion years to reach us but 
>> during that time the galaxies have been accelerating away from us) but that 
>> doesn't mean there aren't galaxies much more distant than 45.5 billion 
>> light years.
>>
>>  John K Clark
>>
>
> If the universe was infinite in spatial extent at the time of, or 
> immediately after the BB, the various parts wouldn't have been causally 
> connected and we wouldn't need inflation to preserve (a non existent) 
> homogeneity. It's because it was small at the time of, or just after the 
> BB, that inflation was imagined to preserve the original homogeneity. FWIW, 
> I'm convinced our bubble is a finite hypersphere, almost but not flat, due 
> to its huge size. AG
>

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