Recent content by A. Neumaier

In flat space the Wightman axioms, in curved space a curved version of the Haag-Kastler axioms.

This is a misunderstanding. Indeed, a requirement in the Yang-Mills problem is to satisfy the Wightman axioms or something stronger. We have various well-defined linear quantum field theories in 4 domensions. While we don't have a nonlinear one, we also don't have mathematical arguments that...

It lacks the constraints that turn an operator valued distribution into a quantum field. There is no single, all-encompassing definition of a quantum field theory. An up to date overview of the modeling choices is in https://arxiv.org/pdf/2210.03128. Talagrand's book mentioned earlier in this...

The best paper that formulates the measurement problem in a way that is clearer than current formulations is Muller, F. A. (2023). Six measurement problems of quantum mechanics. In Non-reflexive logics, non-individuals, and the philosophy of quantum mechanics: Essays in honour of the philosophy...

...because after calculation, every user (as long as shutting up = not using the word 'interpretation' ) is allowed to interpret the results as fits the context, unconstrained by the formal (and often too rigid) demands of an interpretation.

All arguments in textbooks and the research literature are based on classical logic. Nothing at all in quantum theory is deduced by means of quantum logic. Quantum logic has not even a notion of implication. That it is called a logic is based purely on some superficial mathematical similarities...

Not quite. One still has to find the infinite sequence of invariant subspaces of the Hamiltonian, which gives rise to the triangular structure. The same ladder principle is used in many books for finding the irreducible unitary representations of the Lie algebras so(3) = su(2), though there the...

Try my book on algebraic quantum physics, it might convince you of the opposite!

Indeed, relativistic multiparticle quantum mechanics is consistent (and useful) but has, compared to relativistic quantum field theory, a much more limited domain of applicability. A good survey article is B.D. Keister and W.N. Polyzou, Relativistic Hamiltonian dynamics in nuclear and particle...

In differential geometry, there is a covariant concept of a 4-vector, and the momentum vector is such a 4-vector. Only the coordinates of this 4-vector depend on the frame. Thus the momentum is an intrinsic property of a particle, which can be used to differentiate between two of them, while...

1. Local and global symmetries are essentially different concepts. Electromagnetism has a local U(1) gauge symmetry that is essential to understand the properties of the e/m field. The other gauge theories are generalization that were found to work well. This is the real justification for their...

Any relativistic quantum field theory needs an underlying globally hyperbolic manifold.

I am beyond this stage and therefore have more freedom!

This is a bug in the rendering by the preprint server. Look at https://arnold-neumaier.at/ms/Laplace.pdf for my own, good version.

The (strongly modified) submitted version is here. A poster for a conference next week in Vienna summarizes everything on one page.