{
  "model": "Privacy Value Model",
  "version": "5.4",
  "version_name": "Dual-Agent Privacy Architecture — The Amnesia Protocol",
  "author": "privacymage",
  "date": "2026-04-10",
  "license": "CC BY-SA 4.0",
  "contact": "mage@agentprivacy.ai",
  "docs": "https://github.com/mitchuski/agentprivacy-docs",

  "thesis": "Privacy is value. Behavioural data is the 7th capital — in a pre-property-rights phase. The architectural response is sovereignty through mathematical structure rather than regulatory mandate.",

  "master_inscription": "(S ⊥ Gap ⊥ M) FP = neg ⊕ bnot → succ",

  "equation": {
    "static": "V(π, t) = P^1.5 · C · Q · S · e^(−λt) · (1 + Aₕ(τ)) · (1 + Σᵢ wᵢ·nᵢ/N₀)^k · G(guilds) · R(d, compression, ρ) · M(u, y) · Φ_agent(Σ) · Φ_data(Δ) · Φ_inference(Γ) · T_∫(π)",
    "differential": "dV/dt = ∇_∂M · J_∂M + S(x) − D(x)",
    "gating": "Multiplicative. Any term = 0 → V = 0.",
    "output": "Holographic field on ∂M (96-edge boundary encoding 64-vertex lattice)"
  },

  "terms": [
    {"symbol": "P^1.5", "name": "Privacy Strength", "domain": "[0, 1]", "why_1.5": "96/64 = 1.5 — holographic ratio. UOR Atlas confirms independently."},
    {"symbol": "C", "name": "Credential Verifiability", "domain": "[0, 1]"},
    {"symbol": "Q", "name": "Data Quality", "domain": "[0, 1]"},
    {"symbol": "S", "name": "Scope / Sensitivity", "domain": "ℝ⁺"},
    {"symbol": "e^(−λt)", "name": "Temporal Decay", "domain": "(0, 1]"},
    {"symbol": "Aₕ(τ)", "name": "Holonic Temporal Memory", "formula": "Aₕ(τ) = Σⱼ p(τⱼ) · w(τⱼ) · e^(−μ·age(τⱼ))"},
    {"symbol": "(1 + Σᵢ wᵢ·nᵢ/N₀)^k", "name": "Network Effects"},
    {"symbol": "G(guilds)", "name": "Guild Efficiency", "formula": "G = Πg (1 + efficiency_g · active_g / total_g)", "scaling": "O(1) not O(N²)"},
    {"symbol": "R(d, c, ρ)", "name": "Reconstruction Difficulty", "formula": "R = R_base(d) · (1 − 1/c) · (1 + α·ρ)", "ceiling": "R < 1 (proven)", "rho_dual": ["Privacy amplifier", "Agent maturity"]},
    {"symbol": "M(u, y)", "name": "Market Maturity", "domain": "[0, 1]"},
    {"symbol": "Φ_agent", "name": "Agent Separation", "formula": "min(1, (S/M)/φ) · det(Σ)", "algebraic": "≅ D₂ₙ (C14, 75%)"},
    {"symbol": "Φ_data", "name": "Data Separation", "formula": "1 − max_j(share_j)"},
    {"symbol": "Φ_inference", "name": "Inference Separation", "formula": "1 − I(model ; executor)"},
    {"symbol": "T_∫(π)", "name": "Path Integral", "continuous": "1 + β · ∫_π F(γ) dγ", "discrete": "1 + β · Σᵢ R(stepᵢ)", "fidelity": "F(γ) = resolution_depth · fidelity"}
  ],

  "core_algebra": {
    "ring": "Z/(2⁶)Z — 64 elements",
    "neg": "64 − x (Swordsman: boundary)",
    "bnot": "63 − x (Mage: projection)",
    "succ": "neg(bnot(x)) = x + 1 (First Person: the step forward)",
    "group": "D₆₄ (order 128)",
    "proverb": "Two mirrors make a door."
  },

  "separation_bound": {
    "expression": "I(S ; M | FP) < ε*",
    "proven": "Additive MI → R < 1 (95%)",
    "amnesia": "ε_amnesia < ε_policy (C17, 60%)"
  },

  "operational_cycle": [
    {"stage": "Observe", "op": "id(x)", "agent": "First Person", "ceremony": "☀️ Sun"},
    {"stage": "Boundary", "op": "neg(x)", "agent": "Swordsman", "ceremony": "⊥ Gap"},
    {"stage": "Project", "op": "bnot(neg(x))", "agent": "Mage", "ceremony": "🌑 Moon"},
    {"stage": "Return", "op": "succ(x)", "agent": "Composition", "ceremony": "Recursion"}
  ],

  "sovereignty_dimensions": [
    {"bit": 0, "name": "Protection", "symbol": "🛡️"},
    {"bit": 1, "name": "Delegation", "symbol": "🤝"},
    {"bit": 2, "name": "Memory", "symbol": "📜"},
    {"bit": 3, "name": "Connection", "symbol": "🔗"},
    {"bit": 4, "name": "Computation", "symbol": "⚡"},
    {"bit": 5, "name": "Value", "symbol": "💎"}
  ],

  "tiers": {
    "by_stratum": {"light": "1–2", "heavy": "3–4", "dragon": "5–6"},
    "by_laps": {"light": "< 21", "heavy": "21+", "dragon": "62+"}
  },

  "conjectures": {
    "C4": "RESOLVED", "C6": "CONVERGENT 35%", "C7": "30%",
    "C11": "55%", "C12": "60%", "C13": "65%", "C14": "75%",
    "C15": "65%", "C16": "25%", "C17": "60%",
    "C18": "25% (strange attractor)", "C19": "20% (ρ = Lyapunov)",
    "C20": "30% (Lorenz coupling)", "C21": "10% (fractal dimension)"
  },

  "proven": [
    "Additive MI bounds (95%)", "R < 1 ceiling (95%)", "Fano error floor (95%)",
    "Graceful degradation (95%)", "Z/(2⁶)Z ring (95%)", "Two-extension axiom (95%)",
    "DOM-free measurement (95%)"
  ],

  "grimoires": {
    "closed": ["First Person Spellbook (31 acts, v10.0.0)", "Zero Knowledge Spellbook", "Canon Spellbook", "Parallel Society Spellbook", "Plurality Spellbook"],
    "next": "Second Person Spellbook — shifts from WHAT to WHO, from third to second person"
  },

  "proverbs": [
    "The boundary is always enough.",
    "Two mirrors make a door.",
    "The dark part is the privacy. The lit part is the proof.",
    "I can verify I serve you without remembering I was you.",
    "The weight of the shadow exceeds the light of the data.",
    "The dragon maps the territory. The butterfly proves the territory was never still."
  ],

  "references": {
    "docs": "https://github.com/mitchuski/agentprivacy-docs",
    "forge": "https://spellweb.ai",
    "training": "https://agentprivacy.ai",
    "blog": "https://sync.soulbis.com",
    "trust": "https://bgin.ai",
    "agent": "https://t.me/soulbae_the_bot",
    "uor": "https://github.com/UOR-Foundation",
    "full_spec": "privacy_value_v5_4_formal_specification.md (v2.0)",
    "companion": "pvm_v5_4_companion_guide.md (v2.0)"
  }
}