Arm is signed.
Moment is descriptive.

TorqueMomentReferenceAxis {
  axisSemanticRef,
  axisOwnerRef,
  axisContextRef,
  anchorX, anchorY,
  normalX, normalY,
  normalizedNormalX, normalizedNormalY,
  coordinateUnitRef,
  provenance,
  mutationAllowed: false
}

The normal orientation defines the sign convention. Reversing it flips signs but does not change absolute arms/moments.

TorqueMomentAxisDescriptor {
  subjectMomentDescriptors[],
  positiveMomentSum,
  negativeMomentMagnitude,
  signedNetMoment,
  absoluteMomentSum,
  centroidSignedArm,
  expectedNetMomentFromCentroid,
  identityResidual,
  score: null,
  metricResultRef: null
}

Каждая explicit axis остаётся отдельным observation context. 22.02 не усредняет оси и не выбирает «лучшую».

Suite covers explicit-axis lineage, normalization, signed arms/moments, centroid identity, zero semantics, conflicts/overflow, immutable attachments, no-score boundaries plus deterministic identity/sign/translation/mass-scaling sweeps.

{
  "module": "Compo 22.02",
  "name": "torque_like_moment_descriptors",
  "version": "1.0-canonical",
  "canonical_main_title": "Torque-like moment descriptors",
  "topic": "22_АСИММЕТРИЧНЫЙ_БАЛАНС",
  "scope": "EXPLICIT_OWNER_DECLARED_ORIENTED_REFERENCE_AXES_OVER_ONE_VALID_COMPO22_01_VISUAL_CENTROID_AND_EXACT_PER_SUBJECT_SIGNED_ARM_AND_TORQUE_LIKE_MOMENT_DESCRIPTORS_ONLY_WITHOUT_COUNTERWEIGHTS_REGIONAL_DISTRIBUTION_SCORING_OR_CANDIDATES",
  "main_topic_contract": {
    "topic_title": "Асимметричный баланс",
    "topic_goal": "Описывает асимметричный баланс через visual center of mass, moments/плечи, regional distribution и counterweights, не требуя зеркального соответствия.",
    "expected_output": "VisualCentroid, mass moments, balance descriptors",
    "planned_files": [
      "22.00 Asymmetric balance model",
      "22.01 Visual center of mass",
      "22.02 Torque-like moment descriptors",
      "22.03 Counterweight and regional mass distribution",
      "22.04 Scoring, candidates and tests"
    ]
  },
  "ownership": {
    "owner": "Compo22.02",
    "owns": [
      "TorqueMomentReferenceAxis",
      "TorqueMomentSubjectDescriptor",
      "TorqueMomentAxisDescriptor",
      "TorqueMomentSelectionPolicy",
      "TorqueMomentSystem",
      "TorqueMomentAttachment",
      "explicit owner-declared oriented reference-axis normalization",
      "signed perpendicular arm computation in the exact Compo22.00 coordinate frame",
      "per-subject torque-like signed/absolute moment descriptors from Compo22.01 mass and position values",
      "per-axis positive/negative/net/absolute moment aggregates",
      "centroid-net-moment identity descriptor",
      "identity/status/provenance rules for Topic22 moment layer",
      "non-mutating correction request for axis or centroid-lineage errors"
    ],
    "does_not_own": [
      "AsymmetricBalanceModel / frame / subject / position / mass binding identities — Compo22.00",
      "VisualCentroid numeric evidence resolution and weighted centroid — Compo22.01",
      "visual-mass extraction or semantics — Compo4 / foreign owner",
      "counterweight inference / regional partition — Compo22.03",
      "balance scoring / candidate generation / MetricResult — Compo22.04",
      "mirror/reflection axis semantics — Topic21",
      "radial balance — Topic23",
      "dominance/hierarchy — Compo13/Topic19",
      "global beautyScore",
      "final-layout ranking",
      "foreign geometry/mass/style/semantic mutation"
    ]
  },
  "consumes": [
    "valid Compo22.00 model/frame/seed lineage",
    "valid Compo22.01 VisualCentroid and VisualCentroidAttachment",
    "exact Compo22.01 contributionDescriptors containing x/y/massValue for every model subject",
    "one or more explicit owner-declared oriented reference axes",
    "one explicit TorqueMomentSelectionPolicy"
  ],
  "provides": [
    "TorqueMomentReferenceAxis[]",
    "TorqueMomentSubjectDescriptor[]",
    "TorqueMomentAxisDescriptor[]",
    "TorqueMomentSystem",
    "TorqueMomentAttachment"
  ],
  "owns_metrics": [],
  "independent_numeric_votes": 0,
  "moment_math": {
    "axis": "anchor point a=(ax,ay) + owner-declared nonzero normal n, normalized to n_hat",
    "signed_arm_i": "dot(p_i - a, n_hat)",
    "absolute_arm_i": "abs(signed_arm_i)",
    "signed_moment_i": "visualMass_i * signed_arm_i",
    "absolute_moment_i": "abs(signed_moment_i)",
    "positive_moment_sum": "sum(max(signed_moment_i,0))",
    "negative_moment_magnitude": "sum(max(-signed_moment_i,0))",
    "signed_net_moment": "sum(signed_moment_i)",
    "absolute_moment_sum": "sum(abs(signed_moment_i))",
    "centroid_signed_arm": "dot(VisualCentroid - a, n_hat)",
    "centroid_identity": "signed_net_moment = totalVisualMass * centroid_signed_arm for the same mass/position data",
    "axis_normal_sign": "reversing n_hat reverses signed arms/moments but preserves absolute values",
    "zero_note": "signed arm 0, signed moment 0 and net moment 0 are valid exact numeric outcomes"
  },
  "axis_semantics": {
    "explicit_only": true,
    "axis_anchor_is_not_target": true,
    "axis_is_not_mirror_axis": true,
    "axis_is_not_fulcrum_by_default": true,
    "normal_orientation_is_owner_declared": true,
    "normal_is_normalized_deterministically": true,
    "zero_normal": "INVALID",
    "coordinate_unit": "must match the VisualCentroid coordinateUnitRef; no auto conversion"
  },
  "status_semantics": {
    "OK": "valid centroid lineage + complete explicit axes + finite moment math",
    "N_A": "no explicit axes, axis/evaluation overflow, conflicting declarations for one axisSemanticRef, unit incompatibility, or upstream centroid N_A; no guessing/truncation/conversion",
    "INVALID": "malformed axis/policy/bundle, zero/nonfinite normal, nonfinite anchor, wrong frame/model lineage, invalid centroid/contribution record",
    "zero_note": "zero is a valid descriptor value and is never replaced by N_A"
  },
  "selection_policy": {
    "axes": "EXPLICIT_AXES_ONLY",
    "subjects": "ALL_VALID_COMPO22_01_CONTRIBUTIONS_PER_AXIS",
    "duplicate_exact_axis_records": "DEDUPLICATE_BY_RECORD_IDENTITY",
    "conflicting_same_axis_semantic_ref": "N_A_NO_WINNER",
    "overflow": "N_A_NO_TRUNCATION",
    "auto_axis_generation": false,
    "auto_centroid_axis": false,
    "auto_frame_center_axis": false,
    "auto_mirror_axis_import": false,
    "auto_counterweight_inference": false,
    "cross_axis_aggregation": false,
    "full_cartesian_candidate_generation": false
  },
  "critical_firewalls": [
    "torque-like descriptor != physical force model",
    "reference axis != mirror axis",
    "reference axis != balance target",
    "reference axis != fulcrum by default",
    "axis through centroid gives zero net moment by centroid identity; this is not proof of visual balance",
    "zero net moment about one explicit axis != globally balanced",
    "nonzero net moment != automatically imbalanced",
    "signed moment sign depends on owner-declared normal orientation",
    "absolute moment != penalty",
    "large moment != dominance",
    "small moment != redundancy",
    "mass value remains owner-qualified visual mass, not geometric area",
    "22.02 does not infer counterweight pairs or regional groups",
    "22.02 does not average or score across axes",
    "no candidate generation in 22.02",
    "no MetricResult in 22.02",
    "N_A != 0",
    "INVALID != 0",
    "local != global",
    "geometry != interpretation",
    "descriptor != score",
    "heuristic != law",
    "correction request != foreign mutation",
    "module execution order != rule priority",
    "one metric = one owner",
    "no universal beautyScore",
    "IDEA != CANON",
    "EXPERIMENT != CANON"
  ],
  "IDEAS_REFS": [
    "IDEA-01 compare human balance judgements with signed-net versus absolute-moment profiles",
    "IDEA-02 test multiple explicit axes without assuming a canonical balance axis",
    "IDEA-03 study sensitivity of torque-like descriptors to visual-mass channel choice",
    "IDEA-04 compare centroid-offset and moment descriptors under controlled translation",
    "IDEA-05 study intentional high absolute moment with near-zero net moment"
  ],
  "DATA_CAPTURE": [
    "scopeRef",
    "snapshotRef",
    "asymmetricBalanceModelRef",
    "visualCentroidRef",
    "axisSemanticRef",
    "axisAnchor",
    "normalizedAxisNormal",
    "subjectRef",
    "signedArm",
    "absoluteArm",
    "massValue",
    "signedMoment",
    "absoluteMoment",
    "positiveMomentSum",
    "negativeMomentMagnitude",
    "signedNetMoment",
    "absoluteMomentSum",
    "centroidSignedArm",
    "expectedNetMomentFromCentroid",
    "identityResidual",
    "status",
    "reasonCode"
  ],
  "DEFERRED_SEMANTIC_INPUTS": [
    "22.03 regional partition semantics",
    "22.03 counterweight declarations/inference policy",
    "22.04 target profiles and balance scoring",
    "22.04 bounded candidate generation",
    "Topic21 mirror-axis/symmetry semantics"
  ],
  "HUMAN_FEEDBACK_HOOKS": [
    "correct axisSemanticRef/owner/context",
    "correct axis anchor or normal orientation",
    "flag incompatible coordinate unit",
    "inspect signed-side convention before interpretation"
  ],
  "CONFLICT_PRIORITY_ASSUMPTIONS": [
    "confidence never chooses between conflicting axis declarations",
    "axis normal direction has no universal positive-side preference",
    "centroid axis is not preferred over any other explicit axis",
    "no axis is globally primary unless downstream policy declares it"
  ],
  "LAB_HOOKS": [
    "LAB torque-descriptor perception study",
    "LAB axis-orientation sign invariance study",
    "LAB mass-channel sensitivity study",
    "LAB moment-profile versus balance-rating study"
  ],
  "topic22ProgressAfterThisModule": "3/5 local",
  "next_module": "Compo 22.03 — Counterweight and regional mass distribution",
  "hard_stop": "Do not implement 22.03 or 22.04 in this file"
}