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Thread: the vocabulary of AI and quantum reality

  1. #81
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    nonsqtr's Avatar
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    K so, after further research, "I was right". The Shannon entropy doesn't measure what we want.

    In fact it's worse than that - the Shannon information is the unique measure satisfying three axioms, all three of which are "not what we want".

    What the Shannon entropy actually describes, is the expected self-information of a random variable. Which is not what we want.

    What we want, can be achieved by a small change in the definition of "entropy".

    Rényi entropy - Wikipedia

    The Renyi entropy is not just a measure, it's a whole family of measures. It's almost like a Hilbert space of measures.

    For instance - this paper calculates an exact solution for thermalization in a quantum many-body system.

    Phys. Rev. Lett. 102, 240603 (2009) - Matrix Product States for Dynamical Simulation of Infinite Chains

    The interesting thing about the Renyi entropy is it can be negative in the continuous case. And the Renyi entropies are measurable:

    Measuring entanglement entropy in a quantum many-body system | Nature

    What this is exactly is the nonlinear dynamics of isolated quantum many-body systems.

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    yes but this is all still based on Gibbs entropy. It might work on dice, but im more interested in the loss when information is compressed into a black hole then decompressed when the black hole collapses and explodes, because that becomes a modelfor the entire universe. No compression/decompression is lossless, so where does the lost information go, it has to go somewhere, and it isnt all Hawking Radiation, since you cant destroy information , if it has matter/energy equivalence.....entropy in information still has the same issues as mass/energy entropy on a macro scale...
    Last edited by UKSmartypants; 04-20-2021 at 03:52 AM.
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  3. #83
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    East of the Beast's Avatar
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    I just read this whole thread.Can I get the last 15 minutes of my life back........if time flow both ways it is possible.....right?
    C'mom,man.
    Joe Biden

  4. #84
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    Quote Originally Posted by East of the Beast View Post
    I just read this whole thread.
    You're a sad git with no life then....


    Quote Originally Posted by East of the Beast View Post
    Can I get the last 15 minutes of my life back........
    Unlikely. No refunds, no returns.



    Quote Originally Posted by East of the Beast View Post
    if time flow both ways it is possible.....right?
    Nonsqrt might agree. I dont believe in time.
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  5. #85
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    [QUOTE=UKSmartypants;2741119]You're a sad git with no life then....Then what's that make you?




    Unlikely. No refunds, no returns.........damn!





    Nonsqrt might agree. I dont believe in time.......I guess if you don't believe in it, you never waste it.
    C'mom,man.
    Joe Biden

  6. #86
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    Quote Originally Posted by East of the Beast View Post
    ....Then what's that make you?
    even worse. we're the two sad gits that wrote it



    (btw this is a perfect example of jocular banter, something you americans just never seem get the hang of )



    Unlikely. No refunds, no returns.........damn!

    Nonsqrt might agree. I dont believe in time.......I guess if you don't believe in it, you never waste it.

    Absolutely. What do you do for a hobby?
    Last edited by UKSmartypants; 04-20-2021 at 07:21 AM.
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