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Whenever I read about the information paradox, it always appears to me that it is automatically assumed that quantum fluctuations / virtual particle pairs are predictably random. Which leads to the loss of information at event horizons.

To me, this genuine randomness seems to be an unnatural assumption, to me the more natural would be that fluctations are deterministic, the whole universe is deterministic. But they appear predictably random to us because it's way beyond our ability to predict them, we would probably need to know the state of the entire universe for such a prediction (and see into the underlying field(s) that such fluctuations are the expressions of).

So, if we assume that quantum fluctuations are not random, they just appear to be, is there still an information paradox?

(It would appear to me that in this case, the information would simply leak out into the rest of the universe, while the black hole is evaporating. We just can't track that information.)

Thank you!