This won't be surprising to you, but I've read exactly as much of the paper as was useful to me in my own pursuits. Thank you for the response. You've helped me work through a number of concepts with specificity.
I'm self-taught, and take each of these concepts fluidly, not being restricted to a pedagogical tradition or orthodoxy. I may adopt unfamiliar terminology to the limit of my understanding, unaware of the particular restrictions when practicing physicists use it. You'll have to forgive an applied informal intuition in my arguments or choose not to engage at all.
As I've dug into your perspective I find quite a few points of agreement, but I still stick with my original objections in essence. It's not so much that I think your paper is actually wrong, but that it's a shadow of a more direct description, whose properties are more easily read off of the generative structure. My papers are findable.
Returning to the specific objections, I think two related senses of "confinement" need to be disambiguated here to address what my critique was attempting to say that your theory lacks.
One: Confinement purely as non-eliminable topological character. (which you have amply demonstrated)
Two: Confinement as elimination of propagating free asymptotic states.
These are intertwined, but not identical.
One doesn't necessarily imply two.
Two inherently invokes the concept of transport, which requires a fundamental orientation. The field extension in one dimension, and constriction in transverse dimensions is a statement about local propagation just as much as it's about global topology. They are co-constituted. The urge to explain this all in terms of topological invariants is understandable, but there needs to be a root cause of the asymmetry which I find your global topology is incomplete on.
You've chosen that there is a single global orientation to time, chirality, and charge conjugation, because your bundle contact criterion fixes it to be so. OK, but then you simultaneously assert full SO(4) equivariance (Essentially a Euclidean metric (++++) condition) for your mass spectrum derivation, while maintaining that there is chiral asymmetry, and time direction (+−−−) , which can't be globally consistent without mirror symmetry.
As a very base level conceptual check, how does one arrive at directed linear features (without mirror symmetry) from nothing but nested spherical shells?
For every chosen direction on a series of nested spheres, there is a direction not chosen (a mirror symmetry). To disallow, by construction, the mirror symmetry is to disallow the other portion of the sphere's which have already been included.
@TheLegalMindset I think it’s an under-appreciated fact that the most interesting legal cases result from multiple rounds of refusing the simple resolution or behavior that would have capped the complexity of the case.
This depends on known parameter clustering of the search space. If there were known creatures that walk like a duck without being a duck, then this coincidence of observations would naturally be insufficient sufficient to shift the burden of proof, unless massive bayesian corrections applied in relative frequency.
To an entirely unknown search space, this bites hard.
@dvb_eck Funny.
Doesn't matter. Even if you choose D (the only possibly survivable option), you lose all higher brain function and can't function as a human being.