# lattice-core.yaml — Adaptor House canonical bindings (AH-CORE-2) # Supersedes the prior core file, whose name is retired along with its # contents; the supersession record lives in the archive layer, not here. # # DOCTRINE (enforced, machine-checkable): # 1. The ADDRESS is the primary key. All reasoning traverses addresses. # 2. Glyphs appear only in render fields. Display-layer. Never a key, # never a reasoning token, never a data value outside `render`. # 3. No exclusion lists. Negation is not decoupling; absence is. # Inheritance and concordance live at historicalpresent.com/shared/. # 4. Validity is DERIVED, not stamped. The values below are a cache of # Theorem 1 (AH-PROOF-1); the rule is authoritative, the cache is # convenience. A system disagreeing with the rule is malformed. meta: id: AH-CORE-2 version: "2.0" date: "2026-07" authority: "Where any page and this file disagree, this file wins." proof_of_validity: "https://adaptorhouse.com/ontology/validity-proof" theory: "https://adaptorhouse.com/ontology/first-order" lattice: "https://adaptorhouse.com/ontology/dual-derivation" provenance_archive: "https://historicalpresent.com/shared/" # never load into reasoning systems # --------------------------------------------------------------- # LEVEL 0 — AXIS: the first distinction. One primitive, two faces. # --------------------------------------------------------------- axis: AH-AXIS: name: The First Distinction description: > The act of drawing a distinction. Power and vacuum are not two substances beneath it; they are its two faces, co-arising. Formally: the root object, in the spirit of 1 = {∅}. # --------------------------------------------------------------- # LEVEL 1 — DUALS: the two faces. bit semantics: power=1, vacuum=0. # --------------------------------------------------------------- duals: AH-0: name: Vacuum bit: 0 description: "Non-force. Absence, space, the unmarked. Not a second substance." render: { glyph: "⚋" } AH-1: name: Power bit: 1 description: "Force. The mark, presence, a distinction made." render: { glyph: "⚊" } # --------------------------------------------------------------- # LEVEL 2 — ASPECTS: two distinctions. key = (ground, upper) bits. # --------------------------------------------------------------- aspects: AH-D00: name: Absolute Vacuum bits: [0, 0] qualities: [deep, hidden, total] render: { glyph: "⚏" } AH-D01: name: Partial Vacuum bits: [0, 1] qualities: [transitional, unstable, becoming] render: { glyph: "⚍" } AH-D10: name: Practical Power bits: [1, 0] qualities: [grounded, working, applied] render: { glyph: "⚎" } AH-D11: name: Complete Power bits: [1, 1] qualities: [radiant, decisive, saturated] render: { glyph: "⚌" } # --------------------------------------------------------------- # VALIDITY — the rule (authoritative), then the derived cache. # Address a = (g, m, t): ground, middle, top. Tier = 4g + 2m + t. # --------------------------------------------------------------- validity_rule: statement: "Life requires carry; grade requires ground; character is where the carry sits." predicates: grounded: "g == 1" carried: "m == 1 or t == 1" derivation: | if not carried: false # no power above the ground elif not grounded: strong # carried but floating elif m and t: true # ground held, both strata carry elif t: transcendent # ground held, surface carries, hollow center else: limited # ground held, center carries, silent surface proof: "AH-PROOF-1, Theorem 1. Machine-verified against all eight addresses." # --------------------------------------------------------------- # LEVEL 3 — AGREEMENTS: three distinctions. The eight addresses. # `validity` values below are the Theorem-1 cache of validity_rule. # --------------------------------------------------------------- agreements: AH-T0: address: "000" tier: 0 name: Shattered Foundation validity: false_ description: "Origin collapse. No structure to recurse on. Empty." render: { glyph: "☷" } AH-T1: address: "001" tier: 1 name: First Stillness validity: strong description: "Anchoring in memory begins. The first mark appears at the surface." render: { glyph: "☶" } AH-T2: address: "010" tier: 2 name: Memory Abyss validity: strong description: "Depth recursion emerges. Power held in the middle, unseen at either face." render: { glyph: "☵" } AH-T3: address: "011" tier: 3 name: Phase Shift validity: strong description: "Transformation through exposure. Power everywhere but the ground." render: { glyph: "☴" } AH-T4: address: "100" tier: 4 name: Disruptive Spark validity: false_ description: "Symbolic volatility. Force at the root with nothing above to carry it." render: { glyph: "☳" } AH-T5: address: "101" tier: 5 name: Radiant Mirror validity: transcendent description: "Meta-symbolic transformation. Power at both faces, vacuum at the heart — the structure sees itself." render: { glyph: "☲" } AH-T6: address: "110" tier: 6 name: Constructed Surface validity: limited description: "Stylized coherence. Solid below, open at the face — an aesthetic finish over structure." render: { glyph: "☱" } AH-T7: address: "111" tier: 7 name: Aligned Frame validity: true_ description: "Structurally sound, logic-bearing truth. Every distinction made and held." render: { glyph: "☰" } # --------------------------------------------------------------- # PROGRESSION — re-keyed from the retired progression file. # --------------------------------------------------------------- progression: map: - from: axis to: duals condition: "Recognition that the two faces co-arise from one distinction — not opposition" mechanism: "Initiation through deviation" - from: duals to: aspects condition: "Embodiment of both faces (AH-0 and AH-1)" mechanism: "Let difference emerge" - from: aspects to: agreements condition: "Traversal of all four aspects; alignment with one address" mechanism: "Consent to the pattern; narrative or ritual completion" entry_conditions: axis: prerequisites: [] entry_phrase: "Begin where tension lives" aspects: prerequisites: ["Embodied AH-0 and AH-1"] entry_phrase: "Let difference emerge" agreements: prerequisites: ["Traversed all aspects", "Aligned with one address"] entry_phrase: "Consent to the pattern" narrative_hooks: axis: "Presence of ambiguity and duality in the character's perception" aspects: "First encounter with paradox or internal contradiction" agreements: "Ritual, recognition, or surrender event — the reader is not passive" reader_mirroring: description: "How reader experience recursively aligns with lattice logic." stages: - ring: outer level: AH-0 mode: sensory invitation: surrender - ring: middle level: AH-1 mode: interpretation invitation: resonance - ring: inner level: aspects mode: witnessing invitation: embodiment - ring: sacred level: agreements mode: co-authorship invitation: alignment # --------------------------------------------------------------- # TROPE BINDING — how tropes.adaptorhouse.com consumes this file. # --------------------------------------------------------------- trope_binding: rule: > Each trope phase (inherited, broken, transcended) carries one address. Payoff is validated by evaluating validity_rule on the traversal: a resolution address of validity true_ or transcendent earns payoff; strong sustains recursion; limited caps it; false_ documents collapse. example: trope_id: T3-0010 phases: inherited: AH-T4 # role adopted as spark — force with no carry broken: AH-T2 # power driven into the middle, hidden transcended: AH-T7 # every distinction made and held payoff: earned # derived, not stamped