Conjecture on localizable genericity of high emergence

Let high emergence mean that the number of probability measures needed to describe a dynamical system up to precision $\varepsilon$ grows super-polynomially in $\varepsilon^{-1}$. A property is localizable when it can be established locally in the perturbation framework used in the paper. High-emergence localizability conjecture. High emergence should be a localizable generic property. The source states this as an important open problem; the paper proves typicality of high emergence in the symplectomorphism category, but does not resolve this localizability question.