There are also ideas that incorporate consciousness and subjective experiences into the equation. Math models seem abstracted from real world experiences so it seems logical that we should incorporate first hand conscious experience and not rely only on third party abstractions.
I would have thought the interpretations of QM was based on the fundementals are this is what forms the basis depending on the interpretation.
Heres just a few of the ways consciousness is incorporated into the equation using Math and Information theory. Thats not counting ideas like Panphysicism and Integrated Information theory which is also based on Math.
The Mathematical Structure of Integrated Information Theory
Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of...
www.frontiersin.org
Fundamental Mathematics of Consciousness
https://digitalcommons.chapman.edu/...ttpsredir=1&article=1321&context=scs_articles
MATHEMATICAL FRAMEWORKS FOR CONSCIOUSNESS
View of Mathematical Frameworks for Consciousness
Consciousness as a State of Matter
[1401.1219] Consciousness as a State of Matter
A Relativistic Theory of Consciousness
In recent decades, the scientific study of consciousness has significantly increased our understanding of this elusive phenomenon. Yet, despite this critical...
www.frontiersin.org
A Hilbert Space Geometric Representation of Shared Awareness and Joint Decision Making
https://digitalcommons.odu.edu/cgi/viewcontent.cgi?article=1021&context=emse_etds
Human Cognition Surpasses the Nonlocality Tsirelson Bound: Is Mind Outside of Spacetime?
https://arxiv.org/ftp/arxiv/papers/2301/2301.12931.pdf
Hard Problem and Free Will: An Information-Theoretical Approach
Hard Problem and Free Will: An Information-Theoretical Approach
Yes we observe a fixed state as opposed to waves or the underlying superposition. But I though the interpretation of the wave collaspe is the destinguishing factor that is different for each interpretation. One the observer or conscious observation or awareness or choices collapse the wave function into what we observe. In the many Worlds interpretation the collapse opens up a new alternative reality.
I think the observer creating reality seems to make more sense because the only true measure of anything is from conscious experience. So when we make choices, measurements about the world we are actually creating reality. Our questions and measurements can reveal new information which changes or reveals a new reality from the sub atomic level to the macro level.
It just happens so fast in the micro level that we don't see it with our classical eyes. But we do get glimpses of this wavey world through our conscious experience which is non local. Such as through NDE, Transcedental meditation and Intuition.
I would have thought consciousness is at the heart of QM. Of all phenomena consciousness seems most like how the quantum world behaves in that its non local. EXperience, Mind cannot be limited to time and space. Like I said many of the pioneers of QM thought Mind and Consciousness were key elements. Even back then they seen the relation. QM and Consciousness is probably the fastest growing and most promising area of research.
So therefore any explanation whether it comes from mainstream science or the fringes is going to be counter intuitive and require a paradigm shift in thinking. So why would these ides mentioned be so controversial. It would seem to be its because their controversial, in conflict with the current materialist paradigm that they are of interest and potentially right.