On 5/24/2018 2:48 PM, Brent Meeker wrote:
Would it be consistent with decoherence theory to say that each component of a superposition gets entangled with the environment defined by the lab / instrument in which an experiment is performed -- what I have been calling "this world" -- and the other branches, one for each of the remaining eigenstates -- are mutually orthogonal, and orthogonal to the subspace in "this world"?

Yeah, and it's true equally for each of the "this world" choices.

I am positing a model wherein every outcome is realized, but only one outcome is associated with the lab / instrument;

Every world has lab/insturments which are slightly different because they are entangled with different point results on the instrument.  There is no THE lab/instrument.

Let me elaborate on that since what I wrote above might be misleading.  In a sense the is still /A lab/instrument/ because it is existing as a superposition of all those different labs that are entangled with different pointer positions which in turn are entangled with different eigenstate measurement results. We can regard this superposition of labs as /A lab/ because the differences between the labs in the superposition are below the classical level and are not noticeable by us, as each of us is also a superposition of microscopically differences which are not macroscopically significant.  It's how we exist as (quasi) classical beings.  It's why only the instrument readings that make a macroscopic difference are apparent to us.

Brent

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