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[...] As an aside, I'd love to hear an explanation on why information is infinite. I was under the impression that the universe is a closed system with finite energy. This would suggest that information in a quantum sense is, indeed, finite. However, by virtue of the principle of uncertainty, we know that information doesn't really "exist" unless an observer makes a measurement, and at that precise moment and by virtue of the measurement, the relevant "information" bit comes into existence. Again, since there can only be a limited amount of observers making a finite amount of measurements (because the universe has a finite energy, remember), information is also finite. Further, a prominent model of the end of the universe predicts that it will end with what is called "heat death". In this scenario, the universe becomes esentially a nothingness without distinguishable features (in simple terms, no information). If all information has been destroyed, this means information was finite to begin with. So what makes you say that information is infinite? Well, professor. What's your take?
