Free Will Universe Model: Non-computability and its relationship to the 
‘hardware’ of our Universe

I saw his poster presentation at the TSC conference in Tucson and thought 
it was pretty impressive. I'm not qualified to comment on the math, but I 
don't see any obvious problems with his general approach:

http://jamestagg.com/2014/04/26/free-will-universe-paper-text-pdf/

Some highlights:


Some Diophantine equations are easily solved
> automatically, for example:
> ∃𝑥, ∃𝑦 𝑥² = 𝑦² , 𝑥 & 𝑦 ∈ ℤ
> Any pair of integers will do, and a computer programmed
> to step through all the possible solutions will find one
> immediately at ‘1,1’. An analytical tool such as Mathematica,
> Mathcad or Maple would also immediately give symbolic
> solutions to this problem therefore these can be solved
> mechanically. But, Hilbert did not ask if ‘some’ equations
> could be solved, he asked if there was a general way to solve
> any Diophantine equation. 
>
> ...
> *Consequence*
> In 1995 Andrew Wiles – who had been secretly working on
> Fermat’s ‘arbitrary equation’ since age eight – announced he
> had found a proof. We now had the answers to both of our
> questions: Fermat’s last theorem is provable (therefore
> obviously decidable) and no algorithm could have found this
> proof. This leads to a question; If no algorithm can have
> found the proof what thought process did Wiles use to answer
> the question: Put another way, Andrew Wiles can not be a
> computer.
>

Also, he is the inventor of the LCD touchscreen, so that gives him some 
credibility as well.

http://www.trustedreviews.com/news/i-never-expected-them-to-take-off-says-inventor-of-the-touchscreen-display
 

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