On Wed, Sep 18, 2019 at 10:37 AM 'Brent Meeker' via Everything List <
everything-list@googlegroups.com> wrote:

> On 9/17/2019 3:49 PM, Bruce Kellett wrote:
>
> On Wed, Sep 18, 2019 at 3:01 AM smitra <smi...@zonnet.nl> wrote:
>
>> On 17-09-2019 13:32, Bruce Kellett wrote:
>> >
>> > So why do all Everettians have to add so many additional assumptions
>> > in order to pretend to get out the Born rule?
>> >
>>
>> Simply assuming the special case of the Born rule that measuring a
>> system in an eigenstate of an observable will yield the eigenvalue of
>> that eigenstate with  certainty, is enough.
>
>
> Where did the concept of an observable as an operator in a Hilbert space,
> and the idea that measurements correspond to the action of that observable
>  on the state, giving a result that is the eigenvalue corresponding to the
> projected eigenvector, come from?
>
>
> The operator should be expressible in terms of the Hamiltonian of the
> measuring instrument and its interaction with the system.  But nobody tries
> to write down the Hamiltonian of the instrument; they just look at what
> it's supposed to measure classically and then they write an abstract
> operator that does that.
>

So it is something added to the supposed "minimal QM" of the Schrodinger
equation. The eigenvector/eigenvalue link is pretty well established. Zurek
has a good argument to derive this.

Bruce

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