Manuscript Hawk05-A@1 · Hawk05-A.tex · section · 449f85bb

Why the original narrative needs debugging

Background, provenance, and necessary corrections › Why the original narrative needs debugging · lines 138–212

Hawk05-A@1#tab:debug

The original operational plan contains useful distinctions but also claims that cannot hold simultaneously. Table tab:debug states the corrections proved in this paper.

{}1.13

required for a coherent Enter/Page analogy.
Proposed inference	Correct statement
Proposed inference	Correct statement
A large nonconstant residual forces radiation close to replacement.	Residual dimension and nonconstancy alone imply no such quantitative comparison. An accessible replacement bound must be proved separately.
Maximum radiation entropy means maximum accessible recovery error.	These are different quantities. In the explicit schedule below, entropy peaks at $q = 1/2$ , whereas recovery error is largest at the initial cut $q = 1$ .
Later photographs make the complete album less random.	For an unedited append-only classical record, $H (Y_{\leq n + 1}) \geq H (Y_{\leq n})$ . Conditional uncertainty about a separate message can decrease.
A classical record cannot recover the code until the complement becomes constant.	For $d \geq 2$ , a purely classical returned record never exactly recovers the arbitrary quantum code. Its complete complement cannot be constant.
A constant complement makes raw radiation pure.	A constant mixed complement permits exact recovery with a mixed input-independent syndrome. Purity of raw radiation needs additional hypotheses.
After Enter, only the remaining memory block belongs to the complement.	The complement must also contain every unreturned measurement environment, purification, lost output, and control degree of freedom.
Terminal Enter plus drop rewrites earlier radiation.	It equals partial trace over the measured residual and leaves the already-returned accessible channel exactly unchanged.
No named residual means no physical remnant or energetic final burst.	Interface termination establishes neither physical disappearance nor an energy law.
A rise-and-fall entropy history proves a gravitational Page curve.	A finite schedule can exhibit turnover without a gravitational geometry, evaporation channel, or recovery certificate.