On Fri, Sep 20, 2019 at 11:46 AM Jason Resch <[email protected]> wrote:

> On Thursday, September 19, 2019, Alan Grayson <[email protected]>
> wrote:
>>
>>
>>>>>>>>
>>>>>>>> *I don't believe in repeats and I haven't seen any proofs that they
>>>>>>>> occur, just assertions from the usual suspects. AG  *
>>>>>>>>
>>>>>>>
>>>>>>> Imagine a movie in 1280x720 pixels, then the same in  1920x1080
>>>>>>> pixels then in 3840x2160 pixels... always the same but with more and 
>>>>>>> more
>>>>>>> "precision", once you are at the correct substitution level (the level 
>>>>>>> at
>>>>>>> which your consciousness is preserved) then any more precise simulation
>>>>>>> thant the ones at the correct level (which exists by assumption and 
>>>>>>> there
>>>>>>> are an infinity of them) does not make any difference, but there are an
>>>>>>> infinity of them (at the correct level and below it).
>>>>>>>
>>>>>>
>>>>>> Let's suppose we correspond possible universes with the positive
>>>>>> integers, and also assume there's a property with uncountable outcomes,
>>>>>> such as a continuous mass in some range for any particle of your choice. 
>>>>>> No
>>>>>> matter how many countable universes you can imagine, there's no necessity
>>>>>> for any repeats of the mass of your particle; hence, no repeats of any
>>>>>> universe. AG
>>>>>>
>>>>>
>>>>> If finite precision of a continuous quantity is used, the outcomes are
>>>>> not uncountable.
>>>>>
>>>>>> --
>>>>> Stathis Papaioannou
>>>>>
>>>>
>>>> I specifically used a COUNTABLE model as a possible counter example of
>>>> the necessary existence of copies. AG
>>>>
>>>
>>> Do you think the number of mental states a human can possibly have is
>>> finite, countably infinite or uncountably infinite?
>>>
>>
>> What I have shown is that it's hypothetically possible to have countable
>> universes wherein there are no repeats, no exact copies. AG
>>
>
> It might be imaginable but there being no duplicates of any finite spaces
> within an infinite space violates the Bekenstein bound and holographic
> principle.
>

That is simply false. The duplicates could contain no information. The
Bekenstein bound applies to black holes, suggesting that if the infinite
space has a finite matter density, it will close to form a BH. The
holographic principle is a conjecture based on disfavoured string theory.

Bruce

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