On Thu, Nov 20, 2014  Bruno Marchal <[email protected]> wrote:

> The "mutiverse" is only the quantum configuration space taken seriously.
> The SWE describe all quantum evolution as a rotation (a unitary
> transformation) of a state vector  in the Hilbert space.  I can hardly
> imagine something more reversible.
>

Yes the Schrodinger Wave Equation is easily reversible (and it's continuous
and deterministic too), but with regard to the reversibility of time that's
a irrelevant fact because the SWE is a unobservable abstraction. To get
something real that you can actually see you must square the amplitude of
the SWE of a particle at a point and that will give you the probability you
will observe the particle at that point, and probability, unlike the SWE,
is something that you can observe and measure. And Schrodinger's equation
has complex values, that means it has a "i"  (the square root of -1) in it,
and that means very different quantum wave functions can give the exact
same probability when you square it; and if X and Y both produce Z then
things are not reversible, if you're in state Z there is no way to know if
the previous state was X or Y.

You get all sorts of strange stuff with i, like i^2=i^6 =-1 and
i^4=i^100=1.  And in the macroscopic non quantum world if the probability
of me flipping a coin and getting heads is 1/2 and the probability of you
flipping a coin and getting heads is 1/2 then the probability of both you
and me getting heads is 1/4, but in Quantum Mechanics that's not
necessarily true because now you must deal with i and complex numbers. I
think you could say that mathematically it's the existence of that damn i
in the SWE that makes Quantum Mechanics so weird.

  John K Clark

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