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The Importance of Quantum Effects
I think that the important quantum effect in the future of the universe is that there will no longer be a distinction between the different worlds. I'm not sure what you mean by interesting quantum effects, so maybe that doesn't qualify. There are various ideas about things that I've written about it as sort of casual, popular level that would be served by taking more seriously and rigorously and treating them more academically. The philosophy of cosmology, for example, is a field where I think there's lots of things to say that I could maybe say some of them anyway. Maybe there's something to be said about emergence or something like that.