{
  "schema": "tnfr.conservative-regional-winding-declaration.v1",
  "kind": "analytic_whole_interval_acquisition_not_a_reserved_trajectory",
  "nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10],
  "ring_edges": [[0, 1], [1, 2], [2, 3], [3, 4], [4, 0], [5, 6], [6, 7], [7, 8], [8, 9], [9, 5]],
  "connecting_edges": [[0, 10], [10, 5], [1, 6]],
  "unit_conductance": true,
  "capacity": "held unit at every node",
  "form": [0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 24],
  "phase": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
  "law": "normalized_sine_reciprocal_exchange",
  "loss": 0,
  "exchange": 1,
  "storage_scale": 1,
  "clock": "tau=t/pi",
  "forcing": "none",
  "support_events": "none",
  "receiver_cycle": [5, 6, 7, 8, 9],
  "scaled_window": ["1/4", "1/3"],
  "edge_turn_offsets": [1, 0, 0, 0, 0],
  "declared_initial_winding": 0,
  "declared_window_winding": -1,
  "method": "global full-nodal |x_prime|<=1 and |theta_second|<=2, affine phase advance with rigorous quadratic remainder",
  "arithmetic": "exact rational preparation, outward dyadic128 intervals and shared Machin pi",
  "acceptance": "positive strict principal-branch margin on every receiver edge for the complete declared window, with a nonzero integer period derived by telescoping",
  "controls": [
    "same support with all environmental forms zero is exactly stationary",
    "without edge1-6 receiver reflection excludes winding for initially uniform receiver form/phase, irrespective of environment; this is a different support and budget"
  ],
  "randomness": "none",
  "scope": [
    "supplied environmental form and fixed support, not autonomous preparation or support creation",
    "full conservative law, no fitted damping or prescribed external path",
    "finite nonacute winding identity, not an equilibrium, attractive capture or indefinite maintenance",
    "analytic enclosure, no sampled trajectory or physical validation"
  ]
}
