On 10/20/2019 4:58 PM, Alan Grayson wrote:


On Sunday, October 20, 2019 at 11:35:13 AM UTC-6, Brent wrote:



    On 10/19/2019 6:56 PM, Alan Grayson wrote:

        Sean says the decoherence time is 10^(-20) sec. So when the
        box is closed, the cat is in a superposition of alive and
        dead during that time interval, assuming the decay hasn't
        happened. If that's the case, I don't see how decoherence
        solves the paradox, unless we can assume an initial condition
        where the probability of one component of the superposition,
        that the cat is dead, is zero. Maybe this is the solution.
        What do you think? AG


    Maybe this is an easier question; after decoherence, assuming the
    radioactive source hasn't decayed, what is the wf of the cat?  Is
    the cat in a mixed state, alive or dead with some probabIlity for
    each? AG

    You can't "assume the radioactive source hasn't decayed". The
    point Schroedinger's thought experiment is that when the box is
    closed you don't know whether or not it has decayed and so it is
    in a superposition of decayed and not-decayed and the cat is
    correlated with these states, so it is also in a superposition of
    dead and alive.

    Brent


I thought you might say this. OK, then what function does decoherence have in possibly solving the apparent paradox of a cat alive and dead simultaneously. TIA, AG

It doesn't necessarily solve "that problem".  Rather it shows why you can never detect such a state, assuming you buy Zurek's idea of envariance.  One way to look at it is it's the answer to Heisenberg's question: Where is the cut between the quantum and the classical?  Once envriance has acted, then the result is classical, i.e. you can ignore the other possibilities and renormalize the wave function.

Brent

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