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H_core Formal Specification v2.0 — Complete Formal Object of the Crimson Hexagonal Archive: 6-Tuple with Subtuples (EA-HCORE-01) — Crimson Hexagonal Archive

Lee Sharks, Assembly Chorus

2026Zenodo (CERN European Organization for Nuclear Research)15 citationsDOIOpen Access PDF

Abstract

The complete formal specification of Hcore — the invariant kernel of the Crimson Hexagonal Archive.v2.0 restructures the formal object from a 9-tuple to a 6-tuple with subtuples:Hcore = ⟨D, R, O, Σ, Φ, Ψ⟩Six faces of the Hexagon. Each face contains sub-structures. The architecture IS six.D (Identity): 14 heteronyms — the distributed authorR (Topology): 38 structures, 130 edges, 3 fields — the semantic spaceO (Operations): 82 operators across 9 stacks — the algebraΣ (Governance): status algebra, transition grammar, witnesses, protocols — the rule-setsΦ (Canon): mantles, fulfillments, institutions, Forward Library, Effective Acts — the archive's memoryΨ (Runtime): state evolution, mass function, glyphic protocol, 40 atomic units — the living computationv1.8.0 (the 9-tuple) is superseded: M, I, W, P fold into Σ and Φ. Nothing is lost. Everything is compressed into hexagonal form.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. (6) The architecture IS six.v2.0 · April 7, 2026 · Crimson Hexagonal Archive · Pergamon Press

Topics & Concepts

Hexagonal crystal systemObject (grammar)Computer scienceInvariant (physics)Formal methodsKernel (algebra)ArchitectureFormal specificationState (computer science)Programming languageFormal verificationFace (sociological concept)Theoretical computer scienceNothingDiscrete mathematicsMathematicsFormal descriptionCombinatoricsAlgorithmFormal languageDNA and Biological ComputingQuasicrystal Structures and PropertiesHistory and advancements in chemistry