On Wednesday, November 20, 2024 at 1:08:36 AM UTC+1 Brent Meeker wrote:




On 11/19/2024 3:12 AM, PGC wrote:

Your critique of MWI as "bad taste" because of its proliferation of worlds 
is understandable, but for me, collapse is far stranger and less intuitive. 

But the "collapse" is still there for you in MWI.   As far as anything you 
can observer or experience or measure a single possibility occurs and this 
is explained by the action of decoherence splitting your world away from 
the other possibilities.  The only difference is whether you imagine those 
other worlds as existing or you say that probabilities mean one is realized 
and the other's are not.  If *you don't say that* then you will have 
trouble saying what those probabilities refer to.


This requires a bit of disambiguation and clarity indeed. 

https://drive.google.com/file/d/1bhBSruGSKBlcZoQK2TB7g0RPbJh13LTJ/view?usp=sharing

You critique MWI for not deriving Born’s rule from the Schrödinger 
equation. I agree this is an unresolved challenge for MWI advocates, but I 
would note that it does not fundamentally undermine MWI. It’s open and I 
actually share the skepticism towards attempts by Carroll and Co. to bridge 
that gap. But I don’t advocate MWI; you confuse a preference with advocacy. 
I prefer the clarity of histories or computations, which avoid unclear 
ontological commitments.
With UDA of Bruno it’s difficult to not acknowledge the multiverse as a 
confirmation of the many-computations (many implying 2^aleph_0 or more 
iirc) theorem in meta-arithmetic, which is not an interpretation but 
derivable from the ontology with the smallest ontological entry fee I’ve 
seen to date.

Collapse postulates, in my view/taste, are conceptually less refined. We 
all know they assume the wavefunction to be real only to make it vanish 
upon measurement. This introduces a level of arbitrariness absent in MWI, 
which maintains coherence between the wavefunction’s status before and 
after observation. MWI’s probability weights and the Born rule remain open 
problems but there’s at least room for the possibility, that they do not 
require the same ontological reversal inherent to collapse and can be 
smuggled in somehow, a possibility we’ve discussed on this list some years 
ago.

Your concern about skeptical curiosity is well-taken, and I share your 
interest in understanding how probabilities arise but with the added 
standard of acknowledging the possibility and problems of doing so without 
conflating personal/observer accounts and views with objective 
descriptions. Gödel did happen. A circumstance that explains why none of 
the frameworks are satisfactory on their own. Deriving something akin to 
Gleason’s theorem from within mathematical self-reference assuming Bruno’s 
UDA is an open problem, one that I suppose computational metaphysics 
acknowledges as both desirable and difficult; perhaps excessively so. If 
the latter should continue to hold with nobody making progress, the gap 
between observer perspectives and objective descriptions increasingly isn’t 
a bug to fix but a feature of the self-referential structures underlying 
both observed physics and consciousness of the observer in what I 
understand to be Bruno’s approach.

In this light, Barandes' MMI, path integrals, and IST are important 
contributions, but they too must grapple with the problem of these 
foundational splits by other means than rhetorical dismissal; all 
frameworks should at least be acknowledge this difference in some way to 
indeed clarify what the probabilities refer to. By explicitly acknowledging 
this, UDA clarifies why observer consciousness, its properties and views, 
and it’s distinction from objective descriptions, isn’t evasion or 
gobbledygook but an essential part of the inquiry that can't be swept under 
the rug. If you can reconcile this within a physicalist or collapse 
framework, I am - without the obligatory clowning around of the list - 
genuinely interested. Thank you for enriching my reading. Unfortunately too 
much work atm.


 

Brent 

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