# Closed universe
The Hilbert space of quantum gravity in a closed universe is one-dimensional. Once observers are introduced, however, the effective size can be much larger.
## Refs
- non-perturbative path integral and observer Hilbert space
- [[2025#Abdalla, Antonini, Iliesiu, Levine]]
- [[2025#Harlow, Usatyuk, Zhao]]
- [[2025#Akers, Bueller, DeWolfe, Higginbotham, Reinking, Rodriguez]]
- [[2025#Chen]]
- [[2025#Nomura, Ugajin]]
- no-boundary proposal and observers
- [[2025#Blommaert, Kudler-Flam, Urbach]]