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Hartle-Hawking no-boundary state

A proposal in quantum cosmology, originated by James B. Hartle and Stephen W. Hawking in their 1983 paper "Wave function of the Universe" (Physical Review D 28(12):2960): the universe's quantum state is defined by a path integral over compact Euclidean four-geometries with no initial boundary, replacing the question "what were the initial conditions?" with "there was no initial moment to have conditions." It is distinct from the Bunch-Davies vacuum, the specific quantum state built for de Sitter space by matching short-distance behavior to flat-space quantum field theory — the no-boundary state is a proposal about the whole universe's wave function, while Bunch-Davies is a vacuum choice for quantum fields on one fixed background.

The vault met this state through Vinck & De Haro's 2026 review of Edward Witten's algebraic quantum-gravity program, which reports that Witten (2023/2025) conjectures the no-boundary state, suitably modified to include an observer, generalizes the role the Bunch-Davies vacuum plays specifically in de Sitter space to any spacetime. Witten's own paper states this as an explicitly labeled, two-part, self-admittedly speculative hypothesis, checked rigorously only for de Sitter vacua of varying cosmological constant. A direct read of both documents confirms Vinck & De Haro's gloss accurately represents Witten's own claim.

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