  We present a novel framework to solve simultaneously the electroweak
hierarchy problem and the strong-CP problem. A small but finite Higgs vacuum
expectation value and a small $\theta$-angle are selected after the QCD phase
transition, without relying on the Peccei-Quinn mechanism or other traditional
solutions. We predict a distinctive pattern of correlated signals at hadronic
EDM, fuzzy dark matter and axion experiments.
