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JessRiedel comments on Configurations and Amplitude - Less Wrong

26 Post author: Eliezer_Yudkowsky 10 April 2008 07:41AM

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Comment author: JessRiedel 10 April 2008 06:33:50PM 3 points [-]

Psy-Kosh, when QM is formulated rigorously (something that is rarely done, and only by mathematical physicists) the amplitudes must be able to take on any number in the complex plane, not just the rationals.

Sebastian Hagen, I believe Eliezer is explaining to us the best model physicists have for the way the world works on the (sorta) lowest level we understand, not his personal beliefs on the nature of reality. This model must include the irrationals, to be self-consistent. This does not prevent the universe from being discretized (no uncountable sets) on a more fundamental level from QM.