Mathematically well-defined formulations for quantum physics

[flippiefanus]

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Found it follow some links posted in Physics SE.

As a retired physicist (with a background in quantum optics), I still have questions looking for a deeper understanding. My current interests lean toward more fundamental physics, with a desire to provide mathematically well-defined formulations for quantum physics. Having considered some of the previous attempts (algebraic quantum field theory, etc.), I am left disappointed and frustrated.