Another issue with “ontologising” the Wigner function is that you need some kind of idea of what those negatives “really mean”. I spent some time thinking about “If the many worlds interpretation comes from ontologising the wavefunction, what comes from doing that to the Wigner function?” a few years ago. I never got anywhere.
Wouldn’t it also be many worlds, just with a richer set of worlds? Because with wavefunctions, your basis has to pick between conjugate pairs of variables, so your “worlds” can’t e.g. have both positions and momentums, whereas Wigner functions tensor the conjugate pairs together, so their worlds contain both positions and momentums in one.
Wouldn’t it also be many worlds, just with a richer set of worlds? Because with wavefunctions, your basis has to pick between conjugate pairs of variables, so your “worlds” can’t e.g. have both positions and momentums, whereas Wigner functions tensor the conjugate pairs together, so their worlds contain both positions and momentums in one.