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amendable (IX)\n ├── Moral floor: tolerated remediable subjugation ≡ systems-level entropy\n │    ├── Predation test ──► Triple Optimum (Book IV)\n │    └── Obligation (Book II) ──► Disclosure Doctrine (D1–D6)\n │                                   └── D6 (the drop) ──► Tap & Go (Book VI)\n ├── Terrain (Book III: four states, checking network, decay clock)\n │    └── Fulcrum protocol (Book IV)\n ├── Method (Book IV: trace → invariant → propagate; zero-context test;\n │            objection ledger)\n └── Machine plane (Book V) ──► Object grammar (Book VI)\n      ├── receipts / ledger / repair lineage  ◄── A₁₁\n      ├── the drop / capability tokens        ◄── Book II bounds, compiled\n      ├── density law                         ◄── compression axiom\n      └── clarity recursion                   ◄── A₁₂ ──► Amendment (Book IX)\nA₁ (polarity) ──► red-team factor (V); necessary adversary (VIII)\nA₂ (grain)* ───► alpha as energy competition; deterministic era\nA₃ (convergence) ──► Triple Optimum; triple identity of the object (VI); S2\nA₅–A₇, A₉ ──► full-scope accounting; the void as method; interlock\nA₈ ──► Book VII (designer); owner profile & objection ledger, observed (VI)\nA₁₀ (valence) ──► moral gate before any engine or adversarial run\nA₁₁ (receipt) ──► universal proof primitive; capture diagnostic (III);\n                   step 9 of the Decision Engine; Books V–VI\nA₁₂ (recursion) ──► Book IX (amendment, chained); surface S8\n\n* A₂'s Designer attribution is carried as a priced, load-optional\n  metaphysical node; its operational content stands 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