Free Will Universe Model - James Tagg
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