{
  "project": "VOLV",
  "artifactType": "foundational_core_release",
  "identifier": "volv-v0-0",
  "version": "V0.0",
  "domain": "foundational",
  "status": "developing theory",
  "author": "Jaret Walker",
  "releaseDate": "2026-07-16",
  "canonicalReadableArtifact": "HTML",
  "archivalArtifact": "PDF",
  "authority": {
    "currentCore": true,
    "authorityWeight": 100,
    "interpretationRule": "Use this release as the highest weight public orientation source for VOLV V0.0.",
    "priority": [
      {
        "artifactType": "foundational_core",
        "weight": 100
      },
      {
        "artifactType": "module",
        "weight": 85
      }
    ]
  },
  "reconstruction": {
    "baseStatement": "VOLV = relational motion",
    "orientationSymbols": {
      "=": "structural orientation unless a mathematical equation is explicitly given",
      "≠": "structural exclusion unless a mathematical equation is explicitly given"
    },
    "sections": [
      {
        "id": "volv",
        "title": "VOLV"
      },
      {
        "id": "reach",
        "title": "REACH"
      },
      {
        "id": "terms",
        "title": "TERMS"
      },
      {
        "id": "relational-core",
        "title": "RELATIONAL CORE"
      },
      {
        "id": "symbolic-relation",
        "title": "SYMBOLIC RELATION"
      },
      {
        "id": "primitive-relation",
        "title": "PRIMITIVE RELATION"
      },
      {
        "id": "carry-relation",
        "title": "CARRY RELATION"
      },
      {
        "id": "composition",
        "title": "COMPOSITION"
      },
      {
        "id": "genesis",
        "title": "GENESIS"
      },
      {
        "id": "statement-orientation",
        "title": "STATEMENT ORIENTATION"
      },
      {
        "id": "positive-statements",
        "title": "POSITIVE STATEMENTS"
      },
      {
        "id": "negative-statements",
        "title": "NEGATIVE STATEMENTS"
      },
      {
        "id": "reconstruction",
        "title": "RECONSTRUCTION"
      },
      {
        "id": "version-record",
        "title": "VERSION RECORD"
      }
    ],
    "equations": [
      {
        "section": "primitive-relation",
        "expression": "X₀ / X₁ = C₁²"
      },
      {
        "section": "primitive-relation",
        "expression": "X₀ = X₁C₁²"
      },
      {
        "section": "carry-relation",
        "expression": "X₀² = K₁²C₁² + X₁²C₁⁴"
      },
      {
        "section": "carry-relation",
        "expression": "X₀ / X₁ = C₁²√(1 + (K₁ / (X₁C₁))²)"
      },
      {
        "section": "carry-relation",
        "expression": "K₁ = 0"
      },
      {
        "section": "carry-relation",
        "expression": "X₀ / X₁ = C₁²"
      },
      {
        "section": "carry-relation",
        "expression": "(X₁C₁²)² = X₁²C₁⁴"
      },
      {
        "section": "composition",
        "expression": "X₀ / Xₙ = (∏ᵢ₌₁ⁿ Cᵢ)²"
      },
      {
        "section": "composition",
        "expression": "∏ᵢ₌₁ⁿ (Xᵢ₋₁ / Xᵢ) = ∏ᵢ₌₁ⁿ Cᵢ²"
      }
    ],
    "figures": [
      {
        "id": "primitive-trace",
        "caption": "Primitive trace. A frame relative differentiation expressed through its coherence boundary relation.",
        "alt": "Hand drawn VOLV primitive trace showing X₀, X₁, and the C₁² coherence boundary relation."
      },
      {
        "id": "carry-resolved-trace",
        "caption": "Carry trace. The primitive relation with retained structure resolved relative to local zero.",
        "alt": "Hand drawn VOLV carry resolved primitive trace showing X₀, X₁, C₁², and K₁ relative to local zero."
      },
      {
        "id": "composed-trace",
        "caption": "Composed trace. A finite sequence of local coherence relations compressed into one frame relative relation. Repeated X₂ and X₃ marks indicate local reads at the same composition depth. The equation expresses a single three relation path through the trace.",
        "alt": "Hand drawn VOLV composed trace showing branching X₁, X₂, and X₃ ranges with C₁², C₂², and C₃² coherence relations."
      }
    ],
    "positiveStatements": [
      "VOLV = relational motion",
      "VOLV = no privileged direction or scale",
      "frame = relative cut of VOLV",
      "global frame = globally organizing relative to the relations held within it",
      "local and global = frame relative",
      "band = coherence gradient within differentiated relation",
      "C = coherence boundary relation",
      "boundary = gradient",
      "minimum and maximum = opposing frame relative reads of one coherence gradient",
      "hold = stable recurrence within relational motion",
      "carry = structure retained relative to a relational cut",
      "local zero = zero relative to a local frame, relation, or carry condition",
      "stability = coherent hold within relational motion",
      "symbol = real trace with carry",
      "Genesis frame = earliest frame currently reconstructable"
    ],
    "negativeStatements": [
      "VOLV ≠ object, substance, force, container, external field, mechanism, sequence of components, or separate parts",
      "VOLV ≠ something moving through frames",
      "frame ≠ container, detached layer, absolute separation, or chronological stage",
      "global frame ≠ absolute, fully detached, or necessarily the largest possible frame",
      "difference ≠ absolute separation",
      "band ≠ shape, wall, container, hard edge, or place where relation stops",
      "C ≠ external separator, object, wall, or additional mechanism",
      "minimum and maximum ≠ separate boundaries",
      "hold ≠ stopped motion or absolute fixation",
      "carry ≠ motion",
      "carry ≠ requirement for motion or relation to continue",
      "local zero ≠ null, absolute absence, no motion, or no relation",
      "zero carry ≠ zero motion",
      "recurrence ≠ restoration",
      "return ≠ reversal",
      "primitive relation ≠ literal crossing",
      "stability ≠ static",
      "symbol ≠ whole relation",
      "symbol system ≠ VOLV",
      "representation ≠ ontology",
      "compression ≠ absence",
      "cancellation ≠ nonexistence",
      "Genesis frame ≠ confirmed absolute beginning",
      "Genesis frame ≠ confirmed emergence from null",
      "current reconstruction limit ≠ proof that nothing preceded it"
    ]
  }
}
