A proto-area family defines a bulk geometry only when it sews through a single boundary-length map, with a gauge-invariant two-jet criterion and BKM–Jacobi matching as necessary and sufficient conditions.
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When does a state-dependent proto-area define a bulk geometry?
A proto-area family defines a bulk geometry only when it sews through a single boundary-length map, with a gauge-invariant two-jet criterion and BKM–Jacobi matching as necessary and sufficient conditions.