Vladimir_Nesov comments on The Anthropic Trilemma - Less Wrong

24 Post author: Eliezer_Yudkowsky 27 September 2009 01:47AM

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Comment author: Vladimir_Nesov 03 October 2009 07:46:19PM *  2 points [-]

Quantum probability is only "inherent" because by default you are looking at it from the system that only includes one world. With a coin, the probability is merely "epistemic" because there is a definite answer (heads or tails) in the system that includes one world, but this same probability is as inherent for the system that only includes you, the person who is uncertain, and doesn't include the coin. The difference between epistemic and inherent randomness is mainly in the choice of the system for which the statement is made, with epistemic probability meaning the same thing as inherent probability with respect to the system that doesn't include the fact in question. (Of course, this doesn't take into account the specifics of QM, but is right for the way "quantum randomness" is usually used in thought experiments.)

Comment author: Christian_Szegedy 03 October 2009 09:17:52PM *  0 points [-]

I don't dispute this. Still, my posting implicitly assumed the MWI.

My argument is that the brain as an information processing unit has a generic way of estimating probabilities based on a single-worldline of the Multiverse. This world both contains randomness stemming from missing information and quantum branching, but our brain does not differentiate between these two kind of randomnesses.

The question is how to calibrate our brain's expectation of the quantum branch it will end up. What I speculate is that the quantum randomness to some extent approximates an "incomplete information" type of randomness on the large scale. I don't know the math (if I'd knew I'd be writing a paper :)), but I have a very specific intuitive idea, that could be turned into a concrete mathematical argument:

I expect the calibration to be performed based on geometric symmetries of our 3 dimensional space: if we construct a sufficiently symmetric but unstable physical process (e.g. throwing a coin) than we can deduce a probability for the outcome to be 50/50 assuming a uniform geometric distribution of possible perturbations. Such a process must somehow be related to the magnitudes of wave function and has to be shown to behave similarly on the macro level.

Admitted, this is just a speculation, but it is not really philosophical in nature, rather an intuitive starting point on what I think has a fair chance ending up in a concrete mathematical explanation of the Born probabilities in a formal setting.

Comment author: Eliezer_Yudkowsky 04 October 2009 10:50:51PM 0 points [-]

Does your notion of "incomplete information" take into account Bell's Theorem? It seems pretty hard to make the Born probabilities represent some other form of uncertainty than indexical uncertainty.

Comment author: Christian_Szegedy 05 October 2009 06:22:33AM 0 points [-]

I don't suggest hidden variables. The idea is that quantum randomness should resemble incomplete information type of randomness on the large scale and the reason that we perceive the world according to the Born rule is that our brain can't distinguish between the two kind of randomnesses.