> On 11 Oct 2019, at 01:23, 'Brent Meeker' via Everything List 
> <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.

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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