{
  "schema": "tnfr.return-path-geometry-response-declaration.v1",
  "kind": "known_source_mathematical_control_not_blind_physical_evaluation",
  "nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10],
  "left_cycle": [0, 1, 2, 3, 4],
  "right_cycle": [5, 6, 7, 8, 9],
  "mediator": 10,
  "additional_edges": [[0, 10], [10, 5], [1, 6]],
  "named_periods": [1, -1, 0],
  "unit_conductance": true,
  "capacity": "held unit at every node",
  "law": "j(delta)=sin(delta)+epsilon*sin(delta)^3",
  "loss": 0,
  "exchange": 1,
  "phase_mobility": 1,
  "clock": "tau=t/pi",
  "forcing": "none",
  "support_events": "none",
  "source_coefficient": 1,
  "geometry_observation": {
    "origin": "supplied_mathematical_interval",
    "method": "independent mpmath root, then floor/ceil to the declared turn grid",
    "root_bracket_radians": ["pi/6", "2*pi/5"],
    "decimal_places": 95,
    "turn_grid_denominator": 1000000,
    "admission": "strict outward interval signs for F_1 at both quantized endpoints; fail if unresolved"
  },
  "prediction_inputs": "support, declared independent scales, geometric interval, origin, perturbation; no source coefficient or reserved response",
  "form_direction": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
  "phase_direction": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
  "reserved_observable": "all eleven components of d^2(delta x)/d tau^2 at tau=0, for the linearized joint nodal law",
  "horizon": "initial tangent derivative only; no positive-time or finite-amplitude trajectory",
  "independent_response": "mpmath at 95 decimal places; differentiate full incoming current sums along independently assembled nodal phase velocities",
  "response_record_digits": 80,
  "acceptance": [
    "inference returns bounded coefficient interval containing the known source coefficient",
    "inferred lower coefficient bound is strictly positive, excluding epsilon=0 within this family",
    "all eleven high-precision response components lie inside their predicted outward intervals"
  ],
  "failure_policy": "retain failure or unavailable result; do not change geometry, law, scales, observation or precision after response evaluation",
  "randomness": "none",
  "limitations": [
    "known-source software control, not independent empirical identification",
    "finite high-precision response cross-check is not an interval-certified oracle",
    "the predictor's enclosure is conditional on the exact geometric interval and complete law premises",
    "geometry does not infer the overall dynamic rate scale or physical clock",
    "no microscopic law selection, spontaneous formation or material identification"
  ]
}