> On 22 Sep 2019, at 17:39, Jason Resch <[email protected]> wrote:
> 
> 
> 
> On Thu, Sep 19, 2019, 9:34 PM Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
> On Fri, Sep 20, 2019 at 11:46 AM Jason Resch <[email protected] 
> <mailto:[email protected]>> wrote:
> On Thursday, September 19, 2019, Alan Grayson <[email protected] 
> <mailto:[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.

Which is a theorem in arithmetic. Assuming a physical universe is not just 
needed, it cannot work at all, unless Mechanism is false.

Bruno 



> 
> Jason
> 
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