Some context first:

First, there is this result that extends Gödel's incompleteness which states (among other things) that given the set $S$ of all true statements, the probability that a statement $s\in S$ is indecidable is closer to $1$ as the complexity of $s$ increases, ultimately that probability tends to $1$ as the complexity tends to $\infty$. (Complexity in the sense of Kolmogorov).

Second, there is this idea that the complexity (Kolmogorov again) of the universe changes as the universe evolve. When it was small and super-dense and very homogeneic, its complexity was quite small. Right now its complexity is much higher. And when the universe will "die" (because of a big crunch or because of expansion), its complexity will be small again.

Here are my questions:

  1. Can the universe be thought as some kind of logical system that is affected by Gödel's incompleteness ?
  2. If so, is it correct to think that what is possible right now (including our ability to think and elaborate theories) is limited by the complexity of the universe ?
  3. Are there some "hidden" truth in the universe that cannot be captured by reason (right now) but maybe later the universe will become complex enough to unveil these truths ?
  4. Conversely, is it possible that at some point, when the universe will become less complex, some well known and established truth will become unfatomable ?

closed as too broad by Elmy, L.Dutch Jan 9 at 13:02

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Welcome to Worldbuilding Stack Exchange. Please have a look at the help center. This is a site for designers, writers, artists, gamers and enthusiasts to get help creating imaginary worlds. Your question is unfortunately off topic here. $\endgroup$ – Elmy Jan 9 at 12:56
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    $\begingroup$ I was wondering if it would be best here (as this may be used in a novel) or if it was best for physics or maths... Is it possible to transfer it where it should be ? $\endgroup$ – davcha Jan 9 at 12:59
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    $\begingroup$ @davcha IMHO it is best for philosophy.SE $\endgroup$ – Radovan Garabík Jan 9 at 13:00
  • $\begingroup$ Many issues with your post: too many questions in one post, not sure if they are really about worldbuilding and some are pretty unclear. Please sharpen and clarify. $\endgroup$ – L.Dutch Jan 9 at 13:03
  • $\begingroup$ @davcha Nice ideas though. You could postulate a god who's intelect waxes and wanes with it's universe's state. $\endgroup$ – Fay Suggers Jan 9 at 14:44