Evidence and physical boundaries

Ordinary quantum states, channels, tensor products, and Born probabilities are assumed. The mathematical results are analytical. No compiler log, numerical archive, executed symbolic check, machine-checked proof, or physical receiver accompanies this source.

The parameter $\eta$ is an extraction probability. It is not identified with black-hole age, radiated entropy, or evaporation time. No passive evaporation, horizon state, gravitational factorization, backreaction estimate, or microscopic gravity dictionary is supplied.