On Sunday, November 24, 2024 at 9:34:01 PM UTC-7 PGC wrote:

Barandes' work on non-Markovian quantum dynamics is undeniably 
sophisticated and offers potential applications (I appreciate the post, 
thanks), but it exemplifies a recurring issue in alleged foundational 
inquiry. In *"A New Formulation of Quantum Theory,"* for instance, his 
"kinematical axiom", that he states as a physical axiom on the slide, 
assumes natural numbers and sets—*abstract or metaphysical concepts, not 
physical concepts*—while presenting them as part of a physical ontology 
(see minute 11 of the video). This conflation risks undermining the rigor 
and clarity required in foundational inquiry.

Quantum mechanics, in any interpretation (digital mechanism aside), cannot 
fully explain why it appears as it does to specific subjects without a 
precise account of what a subject is and how their interaction with the 
system is modeled. Questions like "Why collapse?" or "Why Many Worlds?" 
demand assumptions about the subject, their properties, and their 
relationship to both the physical and mathematical structures they 
interpret. Without this clarity, foundational reasoning risks either 
circularity or ambiguity.

Foundational work should strive for clarity and honesty in its assumptions 
before reaching for elegance. It’s not enough to say "this works, it's 
sophisticated"—we have to address and state why it works for a subject with 
specific properties xyz in relation to the precise quantum or classical 
frameworks in play. Without this, we risk getting lost in the weeds of 
sophistication, leaving foundational gaps open and unexamined.
Barandes is right: examine the obvious things we take for granted; too bad 
he didn't apply that to his axiom mentioned above. If Bruno's digital 
mechanism strikes you as an implausible foundation, *then what exactly are 
the assumptions underlying your stance*  regarding existence of a subject, 
with which properties, experiencing which kind of physics and why; how QM, 
randomness, classicality, consciousness or lack thereof, qualia or not etc. 
manifest and emerge or don't? 


*Your philosophy, or shall we say point of view, is an example of the 
perfect as the enemy of the good. If Euclid had waited to satisfy your 
criteria, we wouldn't have plane geometry, and we'd still be waiting for 
the theorem of Pythagoras. Based on a voluminous catalog of passed 
experience, every successful theory begins with some undefined concepts. AG*

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