In a coherent-state quantum geometry model, the de Sitter metric is reproduced in the Poincaré patch only for finite cosmological time, while the static patch acquires a real singularity at the horizon.
Quantum maximally symmetric space-times
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abstract
We show that 4-dimensional maximally symmetric spacetimes can be obtained from a coherent state quantisation of gravity, always resulting in geometries that approach the Minkowski vacuum exponentially away from the radius of curvature. A possible connection with the central charge in the AdS/CFT correspondence is also noted.
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gr-qc 1years
2026 1verdicts
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Coherent quantum geometry: de Sitter spacetime in different foliations
In a coherent-state quantum geometry model, the de Sitter metric is reproduced in the Poincaré patch only for finite cosmological time, while the static patch acquires a real singularity at the horizon.