On 10/14/2019 7:20 AM, Bruno Marchal wrote:

On 11 Oct 2019, at 01:23, 'Brent Meeker' via Everything List <everything-list@googlegroups.com <mailto:everything-list@googlegroups.com>> wrote:



On 10/6/2019 3:03 AM, smitra wrote:

And with finite information in the universe there is not distinction
between recurrences and hence there are no recurrences.


Yes, but there will also be imperfect recurrences where the difference will go unnoticed for an observer until a measurement is made. You can then have an effective splitting in single world collapse theories. and each outcome will have a certain probability that corresponds to the relative frequency at which different outcomes will occur in a large time period.

What does "effective splitting in single world collapse" mean?  Sounds like classical probability due to ignorance...except that's NOT splitting.


It is differentiating.

Imagine the WM-duplication, or better here, a guy who is duplicated in two virtual rooms, numerically identical, except for a close virtual envelop with a paper containing 1 (written on a paper)  in room 1 and 2 in room 2.

If the person there does not open the envelop, we can fuse them again, and nothing special happened. It one consciousness flux, like if no duplication occurred. But if the guy open the envelop and read what is on the paper, then the consciousness flux differentiates.

Which is the QBist interpretation of QM.

Brent


For the measure on the histories, the rule is graphically sum up by the diagram:

      Y   =    II

The differentiation in the future separate the past, and it allows the elimination of the splitting. The real diagram are provided by the Kripke semantic, or other semantic for the modal logic of self-reference (and its intensional variants), where we should get something like the Feynman diagrams for the histories and sub-histories.

Like you say: it is classical probabilities, from a relative first person perspective, localised in a mathematically sophisticated structure. The many-worlds of the universal wave seems to confirm the many-computations of elementary arithmetic. This one has the Gödel-Löb-Solovay “theology” capable of distinguishing quanta (knowable, observable and sharable) from qualia (knowable, observable, but not sharable).

Bruno






Brent

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