Grinkle said:
Thanks for taking the time to give that response, much appreciated. It has got to be fatiguing continually articulating things at a "B" level, I don't take those efforts by everyone here for granted.
I just retired from 37 years of teaching undergrad physics at Elizabethtown College (not R1, I was paid to teach). I have always wanted to understand reality and felt that physics was the best way for me to do that (it's different for different people, obviously). When I figure something out, I love to explain it to people who want to understand, so answering your questions is a pleasure for me :-)
Grinkle said:
If it's possible to explain conceptually, what is new about the reconstruction that would make it more compelling vs prior constructions? Is it the concept that h-bar stays constant for all inertial frames be taken as an axiom?
What objections, if any, are you encountering?
The quantum reconstructions via information-theoretic principles are mathematically technical, it took me months to figure out the basics and I still have questions about some of the proofs (check out Hardy's original paper
here). When I came to the simple understanding in the Insight, Markus Mueller invited me to present it at IQOQI in Vienna (April 2022). Caslav Brukner attended that presentation, checked what I said in the book, and then blurbed the book. I asked Markus, Hardy, and Grinbaum to check what I wrote about their reconstructions and reconstructions in general and all of them signed off (Markus had me add some references and the fact that his and Masanes' reconstruction was one of the "first fully rigorous, complete reconstructions").
Given that, I think it's safe to say that we have extended QM as a principle theory per the quantum reconstruction program (QRP) to a principle explanation a la SR. A principle theory (per Einstein) is a theory whose formalism is derived from an empirically discovered fact, e.g., thermodynamics from impossibility of making a perpetual motion machine and Lorentz transformations from light postulate. A principle explanation (
per us) is a principle theory whose empirically discovered fact is justified by a compelling fundamental principle, e.g., light postulate justified by the relativity principle. To accomplish that we did two things:
1. Showed that the empirically discovered fact in the QRP that leads to the Hilbert space kinematics of QM (Information Invariance & Continuity) entails the observer-independence of h.
2. Justified that empirically discovered fact with the relativity principle (just like the light postulate is justified by the relativity principle, as shown in the Insight).
This addresses two concerns about the QRP (again, see
our paper here):
1. As Goyal points out (2024), the elucidation of QM via its reconstruction is a two-step process, first you make the reconstruction, then you have to interpret it.
2. That's because, as Van Camp points out (2011):
nothing additional has been shown to be incorporated into an information-theoretic reformulation of quantum mechanics beyond what is contained in quantum mechanics itself. It is hard to see how it could offer more unification of the phenomena than quantum mechanics already does since they are equivalent, and so it is not offering any explanatory value on this front.
Since, as we explain, the relativity principle unifies QM and SR and is not "contained in QM itself," and it's already established as a compelling fundamental principle throughout physics, we have a compelling completion of the QRP. Now, to some objections about it.
The derivation of the Hilbert space kinematics does not address either the 'big' or 'small' measurement problems (MPs) because it says nothing about the dynamics of QM (needed to solve 'big' MP) and provides no ontology (needed to solve 'small' MP). We deflate both of those at length in Chapter 9 of the book and in summary at the end of
this 2025 paper (also linked in the Insight). Of importance here is "all-at-once" explanation via adynamical global constraints per quantum-classical contextuality that does not violate locality (like Bohmian mechanics), statistical independence (like retrocausality or superdeterminism), intersubjective agreement (like QBism), or the uniqueness of experimental outcomes (like Many Worlds).
There is another complaint that we cannot address, i.e., personal preference. By moving the QRP firmly into spacetime (rotational and translational invariance of h) we have destroyed what some researchers believe was an advantage of the QRP, i.e., the removal of spatiality from measurement. Markus is among those who were hoping the despatialization of measurement would lead to a new approach to quantum gravity. We have a new approach to quantum gravity per quantum-classical contextuality, but it's not what they were considering via the despatialization of measurement, so they don't particularly like our completion.