If the universe was hypercomputational, that would manifest as failures of computable physics.
Well, it would manifest as a failure to create a complete and deterministic theory of computable physics. If your physics doesn’t describe absolutely everything, hypercomputation can hide in places it doesn’t describe. If your physics is stochastic (like quantum mechanics for example) then the random bits can secretly follow a hypercomputable pattern. Sort of “hypercomputer of the gaps”. Like I wrote before, there actually can be situations in which we gradually become confident that something is a hypercomputer (although certainty would grow very slowly), but we will never know precisely what kind of hypercomputer it is.
If true, that is a form of neo-Kantian idealism. Is that what you really wanted to say?
Unfortunately I am not sufficiently versed in philosophy to say. I do not make any strong claims to novelty or originality.
Well, it would manifest as a failure to create a complete and deterministic theory of computable physics. If your physics doesn’t describe absolutely everything, hypercomputation can hide in places it doesn’t describe. If your physics is stochastic (like quantum mechanics for example) then the random bits can secretly follow a hypercomputable pattern. Sort of “hypercomputer of the gaps”. Like I wrote before, there actually can be situations in which we gradually become confident that something is a hypercomputer (although certainty would grow very slowly), but we will never know precisely what kind of hypercomputer it is.
Unfortunately I am not sufficiently versed in philosophy to say. I do not make any strong claims to novelty or originality.