On 8/2/2018 2:07 AM, Bruno Marchal wrote:

On 1 Aug 2018, at 23:36, Brent Meeker <[email protected] <mailto:[email protected]>> wrote:




*If the cat is always in a mixed state, discussing decoherence times in the context of this wf make no sense, at least to me. But if you insist on this, mustn't the overall wf be a mixed state, making the radioactive source, and so forth, also mixed states? *

An atom can be in a superposition of decayed and not decayed because it is relatively isolated.

An atom can be measured as being in a superposition state BY YOU because it is relatively isolated FROM YOU.

That seems to imply the many-minds interpretation.  I'm saying the atom is isolated from anything thing that would record it's decay (including the cat).  If you open the box and find the cat is dead and cold, you know that the cat died hours ago.  It was not in a superposition up until you opened the box.

Brent


If an atom is in a superposition state, QM-without collapse explains this, and explain why you cannot directly see the superposition if you interact with the atom. But the superposition never disappeared, it has only be be contagious on your own state, and like in the WM-duplication, each “copies” see the atom like it has deciphered and lost its means to show interferences.

Bruno




It doesn't radiate IR photons or have other interactions with the environment.  Haven't you read Schlosshauer's paper yet?

Brent

*AG*

    *
    Unrelated to this issue AFAICT. If the superposition with the
    cat used as a starting point for your decoherence analysis
    doesn't exist as representing anything, it's baffling that any
    conclusions can be reached. OTOH, if the two component states
    are mixed, that's a fact that seems never in evidence, certainly
    not in what I have read about decoherence theory. AG *


        Brent



            *, you have a two state system using the standard
            interpretation of superposition, meaning the system is
            in both states simultaneously, not a mixed state. AG
            *


    *Isn't this the standard interpretation of a superposition of
    states? AG*

            **




                                    *It doesn't go away because the
                                    decoherence time is exceedingly
                                    short. *


                                Yes is does go away.  Even light
                                can't travel the length of a cat in
                                a nano-second.

                                    *And for this reason I still
                                    conclude that Schroedinger
                                    correctly pointed out the
                                    fallacy in the standard
                                    interpretation of superposition;
                                    namely, that the system
                                    represented by a superposition,
                                    is in all components states
                                    simultaneously. AG
                                    *


                                It's not a fallacy.  It just doesn't
                                apply to the cat or other
                                macroscopic objects, with rare
                                laboratory exceptions.


                            *Other than slit experiments where
                            superposition can be interpreted as the
                            system being in both component states
                            simultaneously, why is this
                            interpretation extendable to all
                            isolated quantum systems? AG *


                        ?? Any system can be mathematically
                        represented as being in a superposition of
                        different basis states.  It's just a
                        consequence of being a vector in a vector
                        space.  Any vector can be written as a sum
of other vectors.

                    *OK, never had a problem with this. AG**
                    *

                        Your use of the words "interpreted" and
                        "this interpretation" is unclear.

                    *I am using those words as I think Schroedinger
                    did, where he assumes a system in a
                    superposition of states, is in all component
                    states simultaneously. It is from that
                    assumption, or interpretation, that he finds the
                    contradiction or absurdity of a cat alive and
                    dead simultaneously. AG*


    ...

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