Corrections to the proposed development

The following distinctions are necessary for a coherent manuscript.

1. A mass ledger is not a metric theorem. The equation $\dot{M}=-P(M)$ is an energy-balance approximation until the geometry, state, source, and approximation remainder are independently controlled.

2. Classical input stability is not channel stability. The supplied Em06-B thm:input-stability bounds a named one-particle vector using classical test, metric-jet, and switch seminorms. Its displayed estimate is not a diamond-norm bound for an evaporation channel, nor the stated theorem itself an accessible-state distance estimate CheungEm06B ({thm:input-stability}).

3. Historical stops must be version-qualified. XIV-H stops at H2 in its own release. XIV-I constructs its explicitly named internal amplitude gate at I2, without constructing a single-Lagrangian symbol theorem or the joint characteristic map. The full graph remains unresolved at I3/J2. Thus a blanket statement that “nothing at H2/I2 has advanced” would contradict the supplied XIV-I release CheungXIVH ({thm:H2}) CheungXIVI ({thm:I2, thm:I3}) CheungXIVJ ({thm:J2}).

4. A named but unprovided certificate is not imported. Hawk01-B is mentioned in the proposed development, but its complete statement and normalization are not supplied. Definition def:leakage therefore fixes a leakage convention locally. Identification with any Hawk01-B convention requires a separate normalization check.

5. A late marginal is not the complete accessible channel. Identical channels to late radiation alone can coexist with different channels to late radiation together with an early assisting resource. They cannot be described as different minimal complements of one identical complete accessible channel.

6. No construction is not a nonexistence theorem. An unresolved characteristic composition, endpoint, or transfer law does not prove that every possible construction is impossible.

7. An interface paper is not the missing microscopic derivation. Completing the proofs in this paper does not manufacture dynamical equations absent from the input.