Can the self-consistency of a network of inside observers be made precise as a fixed point condition in quantum gravity?

Question

In Zhao's recent paper "It from Bit": The Hartle-Hawking state and quantum mechanics for de Sitter observers (https://arxiv.org/abs/2602.05939) the quantum mechanics experienced by an observer inside a closed de Sitter universe emerges through conditioning — a projection operator P inserted into the gravitational path integral selecting configurations in which the observer exists. The accessible Hilbert space has dimension rank(P) equal to e^(S_observer). This suggests that the observer is herself subject to holography in Harlow's sense — her entropy is the boundary data that generates her own experienced Hilbert space. If two such observers exist in the same universe, each is part of the boundary data that generates the other's Hilbert space. They condition on each other's existence mutually. My question is whether it is possible to make precise the following idea: the universe selects itself through the self-consistency of a network of observers conditioning on each other's existence, with observers of increasing complexity generating increasingly rich geometry. Is there existing work that formalizes this fixed point condition, and what would the precise mathematical statement look like? I have tried to sketch this picture in a short note: https://zenodo.org/records/19774255

Comments

Observers might mean ( interacting and inter-detecting ) fields with their QM cross sections. Just to say that it's +or- a reformulation of common physics descriptions. There is not things like passive objects vs observers.

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With observer I mean the definition of Daniel Harlow et al. See his paper "Quantum mechanics and observers for gravity in a closed universe". The exact reference and further information can be found in the linked zenodo document. Roughly it is a region with entaglement entropy and decoherence.