Path-integral measures determine operator orderings for the Wheeler-DeWitt equation in flat minisuperspace models, with all consistent choices yielding identical physical observables via field redefinition Jacobians.
The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
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abstract
It is shown that the standard no-boundary wave function has a natural expression in terms of a Lorentzian path integral with its contour defined by Picard-Lefschetz theory. The wave function is real, satisfies the Wheeler-DeWitt equation and predicts an ensemble of asymptotically classical, inflationary universes with nearly-Gaussian fluctuations and with a smooth semiclassical origin.
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Ordering-Independent Wheeler-DeWitt Equation for Flat Minisuperspace Models
Path-integral measures determine operator orderings for the Wheeler-DeWitt equation in flat minisuperspace models, with all consistent choices yielding identical physical observables via field redefinition Jacobians.