Entanglement wedges for gravitating regions

Motivated by properties of tensor networks, we conjecture that an arbitrary gravitating region $a$ can be assigned a generalized entanglement wedge $E\supset a$, such quasi-local operators in $E$ have holographic representation the full algebra generated $a$. The universe need not asymptotically flat or AdS, and asymptotic weakly gravitating. On static Cauchy surface $\Sigma$, propose is superset minimizes entropy. We prove satisfies no-cloning theorem appropriate forms strong subadditivity nesting. If lies near portion $A$ conformal boundary our proposal reduces to Quantum Minimal Surface prescription applied $A$. also discuss possible covariant extensions this proposal, as smallest entropy quantum normal Our results are consistent with information spacelike semiclassical description nevertheless recovered from $a$, microscopic break description. thus quantifies range encoding, important nonlocal feature gravity, general spacetimes.