This is a question about The Computational Capacity of the Universe by Seth Lloyd.(adsbygoogle = window.adsbygoogle || []).push({});

It seems to me that arbitrary real numbers cannot be part of the state of the universe, since they carry an infinite amount of information. There are transition probabilities from the current state of the universe to future states. If these probabilities are arbitrary real numbers between 0 and 1, then they carry an infinite amount of information.

Can these probabilities be arbitrary reals, or are they subject to the finite information capacity and hence constrained to a finite subset of the reals?

Seth Lloyd computes the information capacity of the universe as proportional to the age of the universe squared. But I have read that quantum information is conserved - it cannot be created or destroyed. How can the information capacity increase if information is conserved?

Thank you.

Bill H

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# Transition probabilities subject to Lloyd's finite information limit?

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