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] 
> <javascript:>> 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. 
>

Einstein's field equations use PI, and so do Maxwell's equations. And I 
think some of the laws of physics use the natural logarithm. As I 
previously postulated, all one needs is some *continuous* range of some 
variable to determine new universes in which no copies emerge. I find the 
hypothesis of infinite copies of anything highly repugant, like the MWI, 
which I don't claim is a proof of anything. But a univere with zero copies 
seem more elegant than the opposite. AG
 

> 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.
>
> 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
>

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