Basic physics in high school.
So, none.
We already established that you hadn't studied linear algebra, nor could demonstrate any competence in it. It's amusing that you would insinuate a working understanding of quantum mechanics without any knowledge of the mathematics upon which it is based and without which it cannot be studied. A prerequisite to any quantum mechanics course at the college level is linear algebra up through eigenvalues and eigenvectors, which is generally second- or third-level linear algebra. In contrast you don't even know what "dimension" means in the context of this sort of math, and that's the first week of first-level.
Nor am I aware of any high school physics program -- even for advanced placement in science -- that even completes Newtonian physics up through physical dynamics, much less moves on to advanced topics such as electrodynamics. Physics
majors in colleges that offer strong physics programs (e.g., Princeton, MIT, Stanford) don't even begin quantum mechanics until the sophomore year.
So no, I don't accept that you are competent in quantum mechanics based on your stated level of education and your inability to master the nomenclature.
Perhaps turning the tables would help you understand. As a single man, I know next to nothing about obstetrics or childbirth. My knowledge of obstetrics is limited to 12th-grade health. I've never witnessed a birth. Would you consider me qualified to deliver a baby? Would you consider me qualified to advise others on whether they were delivering babies correctly? Would you consider me an expert on what factors affect pregnancy and childbirth? Would you trust me to advise a woman on what activities and lifestyles would be appropriate while she is pregnant?
While I'm a reasonably intelligent man, I am not remotely qualified to engage in, or even meaningfully comment upon, your profession. I have no relevant foundational knowledge. I have no practical experience. What would you consider an appropriate response if you were to see me practicing midwifery, obstetrics, or nursing? What would you say if I dismissed your corrections by saying you obviously didn't understand the field?
Several of your arguments in this thread attempt to connect quantum mechanics -- a subject
not considered general knowledge, nor especially easy even for experts to understand -- to various propositions that would generally fall under parapsychology and the supernatural. Specifically you suggest that aspects of quantum electrodynamics transcend the known properties of matter and bear in some way upon the traits you attribute to the supernatural, if not to prove them then at least to admit their possibility.
You have no appropriate foundational knowledge. You have no adjudicated training. You have absolutely no basis for asserting that the aspects of advanced physics to which you allude justify or even relate to the claims you make. You are relying upon a
non sequitur and hoping that the obscurity of the sciences you invoke is sufficient to forestall criticism. The lack of foundation dooms your argument.
Your arguments that invoke physics typically break down into two parts: (1) a (mis)interpretation of the referenced work, and (2) a nonsensical application of the interpretation to some vaguely analogous parapsychology claim. When challenged, you ignore (2). You seem to consider it a foregone conclusion that your desired conclusion follows from the research. In discussing (1) you try to limit your critics to one of two rebuttals -- either that they must not understand the reference or that they are accusing the original author of error or misrepresentation.
At no point do you allow the proposition that
you have misunderstood and misapplied advanced theoretical physics. This is quite hubristic given your lack of competence in it.
And no, this is not a personal attack or an
ad hominem rebuttal. A key premise to your argument (whether you state it or not) is that you understand the relevant sciences and are applying them appropriately. I am challenging that premise.
So what is the right question?
One that doesn't presuppose what the objection to your argument is.