[amaybaum]

Purpose

Record the distinction between finite observer resolution, the additional finite-total-carrier posit, and a separate whole-substratum computational patch-budget hypothesis, without modifying the established finite recurrence proofs.

Minimal manuscript changes

• Book ch02 §2.3 (and matching FULL Markdown mirror): clarify that finite total S is a physical posit of the exact Chapter 1 recurrence model, not a theorem of observational incompleteness. Preserve the remaining holographic-bound and infinite-extension qualifications.
• Computation §4.5: distinguish the holographic bound on the observed patch from a conjectural cap on all computationally relevant substratum resources. Make the trilemma, budget estimates, entanglement conclusion and conditions explicitly dependent on a new, named patch-budget hypothesis; numerical estimates are unchanged.
• Audit status: verification/audits/manuscript/finite-substratum-scope-20261029/STATUS.md maps each edit to the finding and marks the generated publication artifacts stale.

Scientific boundaries

• Main §1.2, §2.3 and §4.3 already separate finite observed states, finite reversible representatives, and the physical total-finiteness posit.
• Finite-carrier bijections guarantee exact φ^N = id; infinite-carrier bijections need not, although some infinite bijections have finite order. No general infinite-OI realization or recurrence theorem is claimed here.
• The holographic/patch bound alone does not prove the entire hidden carrier finite, or eliminate the third arm of the computation trilemma. The proposed computational ceiling is conditional, not established by Main.
• No changes to Lean declarations, physical models, numerical budget estimates, existing mathematical proofs or broader book content.

Release gate — NOT merge-ready

• Source-only correction; the retained FULL Markdown mirror is synchronized but generated papers/Computation.tex/.pdf and the FULL book .tex/.pdf are stale until the canonical build refreshes them. See committed STATUS note.
• Re-run maintained-mirror/corpus-wide consistency checks, build/source stamps, relevant verification, and current-head CI. Obtain independent scientific/editorial review of exact final commit and reconcile any overlapping correction PRs.
• Keep draft until acceptance and explicit owner approval of an exact SHA. Do not claim CI success from this source-only commit.

Based on main 58885fa8, after #998 and #1001.

[amaybaum]

Closed unmerged; reconciled in #1057 (merge 4759d27b; owner decisions OD-1, OD-2, 2026-11-03).

• Computation §4.5 and ch14 §14.10 (+ FULL) state the computational budget conditional on the patch-budget hypothesis, posited and not derived. The holographic bound constrains the observed patch only.
• The ceiling and the entanglement-dimension corollary are proposed on that hypothesis and the complexity assumptions.
• Following the review, the (III) sentence carries no "only", and the Conditions list does not name the total-finiteness posit. ch14 states the hypothesis with Computation's scope.
• This PR's ch02:32 hunk was already absorbed by SC-28's text.
• The recovery question, whether the hypothesis reduces to E3 plus GR §3.2's boundary-only dependence, is recorded on SUBSTATE-1: minimal manuscript scope and finite-S dependency audit #1015 (comment 6597311610).

Branch correction/finite-substratum-scope-20261029 (head 0a113e70) is kept.

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