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I think you're mistaken in thinking that the arguments Bender et al are making are physical. Operator theory, Hilbert spaces, Lebegue measures, etc. are pure ma
by adyavanapalli 10y ago
I think you're mistaken in thinking that the arguments Bender et al are making are physical. Operator theory, Hilbert spaces, Lebegue measures, etc. are pure mathematical tools used to construct and derive insight from Quantum Mechanics. The tools themselves are grounded in the usual sense of mathematical rigor. The inspiration to attack this conjecture, the Riemann hypothesis, framed as a quantum system might come from physical intuition, but everything else is rigor.
- jordigh 10y agoI wasn't thinking that they're physical, just that physicists are used to playing fast and loose with approximations because it's a technique that usually works in physics. Or to not really care about what a Dirac distribution really is. Or that defining a tensor (field) as something that transforms like a tensor is a satisfying definition. I am skeptical of the methods that they're used to. But it doesn't look like they're doing that, so I'm probably wrong.