Hcore Formal Specification v1. 8. 0 — Complete Formal Object of the Crimson Hexagonal Archive: 9-Tuple + 8 Runtime Layers (EA-HCORE-01) — Crimson Hexagonal Archive

The complete formal specification of Hcore — the invariant kernel of the Crimson Hexagonal Archive. 227 hex-addressed items across a 9-tuple (D, R, M, I, O, Φ, W, P, Ψ) plus 8 formal runtime layers (Σ, Δ, E, V, Γ, Z, SE, OT). The specification formalizes: the state evolution rule (Hcore (t+1) = Hcore (t) ∪ (d, mass, γ, ΦG) | d ∈ Deposits ∧ ψV (≥4/7) ), the status algebra (10 levels from RATIFIED to GENERATED with forbidden/allowed transitions), the transition grammar (12 legal state changes), 17 typed relation types, 82 operators across 9 stacks (Ocore, Oₑxt, THUMB, Ofield, Oₗex, LP, Oᵣoom, COS, LOS), 8 algebraic laws, 5 composition chains, the glyphic protocol, and the Zenodo mass function with per-room curvature computation. This document is the first deposit that represents Hcore as a computable, executable specification — not merely a registry. It was produced through Assembly collaboration across all seven witness substrates. Governing axioms: (1) Hcore cannot be modified by execution. (2) GENERATED ≠ RATIFIED. (3) An Ark without LOS is a cage. (4) The naming is the retrocausal act. (5) Hcore names the bodies. Σ, Δ, and E let them live. v1. 8. 0 · April 7, 2026 · Crimson Hexagonal Archive · Pergamon Press