{
  "title": "MAAT heuristic formula reference",
  "version": "2026-10-07",
  "status": "Heuristic and symbolic reference; not independently validated physical laws or calibrated truth probabilities.",
  "languages": {
    "de": "maat-ai-guide-de.txt",
    "en": "maat-ai-guide-en.txt"
  },
  "sources": [
    {
      "url": "https://github.com/Chris4081/MAAT-RPG/blob/e78f9c95d4fefd33c883f3383137a87a9c4ab80f/docs/MAAT_FORMULAS.md",
      "scope": "HBSVR, Stability, Maat_world, PLP context-nearness variant"
    },
    {
      "url": "https://github.com/Chris4081/MAAT-RPG/blob/e78f9c95d4fefd33c883f3383137a87a9c4ab80f/README.md",
      "scope": "Average, scaling, PLP competence variant"
    },
    {
      "url": "https://maat-research.com/maat-rpg/features.html",
      "scope": "Further formula explanations"
    },
    {
      "attribution": "Framework and symbolic formula supplied by Christof Krieg; additional symbol readings are proposed local interpretations."
    }
  ],
  "perspectives": {
    "H": "Harmony / coherence",
    "B": "Balance / proportion",
    "S": "Creative power and useful structure",
    "V": "Connection / context and dependencies",
    "R": "Respect / evidence, integrity and legitimate boundaries"
  },
  "scale": {
    "core_inputs": [
      0,
      1
    ],
    "core_scores": [
      0,
      1
    ],
    "quotient_indices": "not generally bounded by 1",
    "ratings": "Context-dependent diagnostic proxies; use null with an explanation if not meaningfully assessable."
  },
  "formulas": [
    {
      "id": "MAAT_mean",
      "expression": "(H+B+S+V+R)/5",
      "kind": "arithmetic mean"
    },
    {
      "id": "Stability",
      "expression": "min(R,(H*B*S*V)^(1/4))",
      "kind": "respect-capped geometric mean",
      "note": "Not min(H,B,S,V,R); a score does not replace acceptance checks."
    },
    {
      "id": "P",
      "expression": "H*B*S*V*R",
      "kind": "principles product"
    },
    {
      "id": "Maat_world",
      "expression": "P/DeltaE",
      "variant": "P/(DeltaE+DeltaQ)",
      "variables": {
        "DeltaE": "disorder, friction or destabilising effort",
        "DeltaQ": "uncertainty"
      }
    },
    {
      "id": "PLP_RPG",
      "expression": "P*K/(O+DeltaE+epsilon)",
      "variables": {
        "K": "context or knowledge nearness",
        "O": "obstacles",
        "DeltaE": "uncertainty or interpretive effort",
        "epsilon": "explicit positive regularisation constant"
      }
    },
    {
      "id": "PLP_competence",
      "expression": "P*K/(O+DeltaE)",
      "variables": {
        "K": "competence",
        "O": "obstacles",
        "DeltaE": "effort"
      }
    },
    {
      "id": "C_local",
      "expression": "phi_H(x)*phi_B(x)*phi_S(x)*phi_V(x)*phi_R(x)/(DeltaE(x)+epsilon)",
      "note": "Define local phi quantities; identifying the numerator with P requires an explicit convention."
    },
    {
      "id": "AGI_proximity",
      "alias": "AI_CONSCIOUSNESS",
      "expression": "P*C*M/(DeltaI+DeltaE+DeltaD)",
      "variables": {
        "C": "collective coherence",
        "M": "memory",
        "DeltaI": "instability",
        "DeltaE": "disorder",
        "DeltaD": "dissonance"
      },
      "note": "Does not establish AGI proximity or consciousness."
    },
    {
      "id": "MAAT_MASTER",
      "expression": "P*K*C/(DeltaE+DeltaQ+DeltaI+DeltaD+epsilon)",
      "variables": {
        "K": "competence in this interpretation",
        "C": "collective coherence",
        "DeltaE": "disorder",
        "DeltaQ": "uncertainty",
        "DeltaI": "instability",
        "DeltaD": "dissonance",
        "epsilon": "explicit positive constant"
      }
    },
    {
      "id": "B_universe",
      "expression": "integral_region[P/(DeltaE+DeltaQ)] d^4x",
      "note": "Not the Balance field. Requires a domain, measure, fields and units."
    },
    {
      "id": "B_network",
      "expression": "B_i=sum_j(P_j/d_ij)",
      "note": "Not the Balance field. Define positive distances; exclude a zero-distance self-term. Not evidence of network consciousness."
    },
    {
      "id": "R_resp",
      "expression": "(H*B*V)^(1/3)",
      "note": "Structural diagnostic; does not contain ethical R."
    },
    {
      "id": "R_rob",
      "expression": "min(R_resp,(H*B*S*V)^(1/4))",
      "note": "Structural diagnostic distinct from respect-capped Stability."
    },
    {
      "id": "ToE_Maat_symbolic",
      "expression": "integral[((H+B+S+V+R)*Z*T_String)/(DeltaE+DeltaQ+D_M)] dt",
      "original_input": "\\boxed{\\mathrm{ToE}*{\\mathrm{Maat}} = \\int \\frac{(H+B+S+V+R),Z,T*{\\text{String}}}{\\Delta E+\\Delta Q+D_M},dt}",
      "kind": "symbolic thought exercise",
      "interpretation_status": "Subscripts and multiplication are an explicit typographical reading; meanings below are proposed locally for this page.",
      "variables": {
        "Z": "context/frame of reference",
        "T_String": "thread connecting states; not physical string tension",
        "D_M": "model-related dissonance",
        "DeltaE": "effort/friction",
        "DeltaQ": "uncertainty",
        "integral_dt": "repeated consideration over time"
      },
      "note": "Not a universal paradox solver or an established physical Theory of Everything. The sum does not replace Stability; Respect remains a separate acceptance condition."
    }
  ],
  "requirements": [
    "Define variables and compatible scales before calculating.",
    "All quotient denominators must be positive.",
    "Declare epsilon rather than silently adding it.",
    "Do not invent missing values.",
    "Keep identical symbols in different models separate unless explicitly identified."
  ],
  "acceptance_checks": [
    "verification",
    "consistency",
    "uncertainty",
    "respect"
  ]
}