> On 23 Sep 2019, at 00:46, Jason Resch <[email protected]> wrote:
> 
> 
> 
> On Sun, Sep 22, 2019 at 5:36 PM Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
> On Mon, Sep 23, 2019 at 1:39 AM Jason Resch <[email protected] 
> <mailto:[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:
> 
> 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?
> 
> Holography is highly speculative. The Bekenstein bound does not apply to 
> non-static universes, such as our expanding universe.
> 
> The Bekenstein bound doesn't apply to universe, it applies to volumes.  Are 
> you aware of a way to physically store infinite information in a finite space 
> using finite energy?

Which is indeed the main task to do for a non-mechanist.

Now, that might not be entirely true. Gödel did try to get a notion of non 
computable finite object, and recently I find a way to build a model of ZF(or 
even PA) in which such finite object are not computable, but those models are 
highly non standard, and such finite things are “truly” infinite, so I don’t 
believe Gödel’s idea could succeed, nor that he ever took this seriously, as 
other writing of him put doubt on this. So I agree with you, a non mechanist 
must conceive actual infinite brain capable of doing an infinity of task in a 
finite time. Only that can make him hoping to escape the UD statistics in 
arithmetic.

Bruno



>  
>  
> If a finite region does contain finite information, then in an infinite 
> (homogeneous) space, that same finite pattern will reappear infinitely.
> 
> You overlook the possibility that the infinite repeats are of uninteresting 
> volumes, and that the initial conditions for some volumes may never repeat.
> 
> But that would contradict standard cosmological models, where all variation 
> was seeded by quantum fluctuations occurring at all scales of expansion, such 
> that every conceivable pattern that is possible can happen and would happen 
> (and infinitely often in either a spatially infinite universe, or an 
> eternally inflating universe).
>  
>  
> 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.
> 
> Guth was wrong about a lot of things. Eternal inflation is an unproven 
> speculative idea. Not even inflation itself is entirely secure -- it is 
> increasingly becoming to look like a solution in search of a problem. All of 
> Guth's original motivations for inflation have come to very little.
> 
> 
> Wasn't it strongly confirmed by the Planck CMB measurements?  Guth and Linde 
> were awarded the Break Through Prize, which is even bigger than the Nobel 
> prize.  Wouldn't that suggest there had been some support or confirmation of 
> the theory?
> 
> https://s22380.pcdn.co/wp-content/uploads/2015_TT_power_spectrum_Planck_600px.jpg
>  
> <https://s22380.pcdn.co/wp-content/uploads/2015_TT_power_spectrum_Planck_600px.jpg>
> 
> This endeavor is a challenging one, explains Planck team member Charles 
> Lawrence (JPL). Cosmologists start with the splotchy CMB pattern. From that 
> they calculate what’s called the power spectrum, which reveals the strength 
> of the CMB’s fluctuations at different angular scales. (The power spectrum is 
> the wiggly graph at right.) The power spectrum is the cornerstone of the 
> whole effort: it’s this statistical map that cosmologists base their CMB 
> analysis on.
> 
> The cosmologists then make some assumptions about what kind of universe 
> they’re dealing with — in astrospeak, they assume the standard lambda-CDM 
> model, which includes (1) a particular solution to the general relativistic 
> equations of gravity, (2) a universe that looks basically the same on large 
> scales and is expanding, (3) an early period of stupendous expansion called 
> inflation, and (4) quantum fluctuations that seeded today’s large-scale 
> matter distribution.
> 
> 
> Jason 
> 
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