Sorry if this is the wrong place, I've asked this question elsewhere, and I've been told this place is better for this.
Here is the idea: The universe obeys logical laws or it does not. If it does not, it's basically chaos, I guess, which is probably not very interesting here. So I'll discard that possibility. So, Let's assume the universe obeys logical laws.
Now, thanks to Gödel incompleteness, we know that any set of laws powerful enough to express Peano's arithmetics (basically natural numbers) will produce a set of undecidable propositions. And we won't be able to give an answer to these propositions within the initial set of laws we used.
Thanks to Leuven, who worked on Gödel incompleteness and randomization, we also know that the size of the set of undecidable depends on the complexity of the corresponding set of laws generating these undecidables. Basically, the more complex the theory, the relatively larger the set of undecidables. At the limit, when complexity tends to infinity, the probability that a proposition picked at random from a set of true proposition is undecidable tends to 1. Meaning, if you have an infinitely complex theory, then almost everything is undecidable.
Given that, if the universe obeys logical laws, it should also obey Gödel incompleteness. Does that mean the universe has many hidden truth that noone will ever be able to know ?