On Thu, Sep 19, 2019, 9:34 PM Bruce Kellett <[email protected]> wrote:

> 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.
>

Both places absolute finite limits on the information content of a finite
volume containing finite energy. Is this no longer a favored theory in
physics?

If a finite region does contain finite information, then in an infinite
(homogeneous) space, that same finite pattern will reappear infinitely.

This is a consequence also of eternal inflation, and Guth used almost
identical language saying everything that can happen happens an infinite
number of times.

Jason

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