In my TL today, I'd love to see: — fewer people failing ideological Rorschach tests — more of them passing ideological Turing tests
Q: What's a candidate (or hypothetical) physical theory that *doesn't* satisfy the CTD principle? Have any been proposed/explored?
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I wrote a little squib of a paper on it in quantum mechanics: https://arxiv.org/pdf/quant-ph/9706006.pdf …
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Easiest way is to imagine oracles that solve uncomputable problems - they could just be natural phenomena.
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Pour-el and Richards wrote some nice papers on uncomputability in classical EM. Summarize in a book: https://www.amazon.com/Computability-Analysis-Physics-Perspectives-Mathematical/dp/3540500359/ref=sr_1_1?ie=UTF8&qid=1502252657&sr=8-1&keywords=pour-el+richards …
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(Papers should be pretty easy to track down, though I don't know if they're online.)
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(Actually, that was the first idea I ever had for a paper, as a kid in 1992. Took 5 years to learn how to write it. Those were the days...)
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My paper is (pretty) readable, and may even be entertaining...
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The Pour-El & Richards results were, roughly, classes of initial conditions for Maxwell's equations that led to incomputable results.
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It's 20 years since I read the papers, so I may have that slightly (or terribly) wrong.
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Roget Penrose has also made some proposals, though I actually haven't looked into them in much detail. Probably should have.
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