NT24: Explicit Construction of from Local Brane Data

This note establishes the locality property of the boundary operator under the A1-dS warp factor, proving that Axiom A5 is Robust under A1-dS as classified in NT14. The Israel junction conditions at each brane position depend only on the local value , which is fully determined by alone without integrating over the bulk. The operator is therefore a functional of local brane data . The locality proof is Closed*; the explicit functional form remains Conditional — it requires either an approximate inversion of the transcendental warp-factor relation or a variational derivation from the bulk action. The connection to the Gibbons–Hawking–York boundary term is noted.