{
  "schema": "LATTICE.GROUND.QUORUM.v1",
  "statement": "The Ground product array is a 1,024-address, three-axis phased volume, not 1,024 independent receivers. Its selected operating band consists entirely of modes born from the complete worded assembly.",
  "architecture": {
    "address_count": 1024,
    "axis_address_counts": [
      341,
      340,
      343
    ],
    "axis_construction": [
      {
        "elements": 341,
        "step": 48,
        "repeated_cells": 341,
        "offsets": [
          1
        ]
      },
      {
        "elements": 340,
        "step": 48,
        "repeated_cells": 340,
        "offsets": [
          25
        ]
      },
      {
        "elements": 343,
        "step": 54,
        "repeated_cells": 49,
        "offsets": [
          1,
          7,
          13,
          25,
          31,
          43,
          50
        ]
      }
    ],
    "latent_volume_sites": 706814760960,
    "dense_operator_entries_not_materialized": 3595558517626227402250000,
    "continuum_boundary": "Measured element responses supply the pairwise wave layer. The whole-not-part quorum is created by the phased arithmetic readout, not by passive free-space coupling."
  },
  "whole_assembly_observable": {
    "mode_families": 13,
    "operating_modes": 40338372,
    "word_born_operating_modes": 40338372,
    "word_born_fraction": 1.0,
    "protected_modes_inclusion_exclusion": 39331004,
    "proper_subset_kernel_counts": {
      "0": 160,
      "1": 6916,
      "2": 1480,
      "3": 6864,
      "4": 8696,
      "5": 509984,
      "6": 507452
    },
    "full_assembly_kernel_count": 40338372,
    "meaning": "Proper-axis assemblies retain other kernel content, but none owns the selected word-born operating band. The Ground observable is a mode of the complete phased volume; it is not reconstructed by adding independent receiver verdicts."
  },
  "fault_channels": {
    "single_deletion_delta": -290,
    "second_position_deletion_delta": -290,
    "class_preserving_mistune_delta": -442,
    "class_flip_mistune_delta": -1028,
    "deletion_sensitive_families": 50,
    "four_fault_resilient_families": 6,
    "interpretation": "Deletion and mistuning are distinct mode-census signatures; a class-changing mistune is not treated as a missing receiver."
  },
  "scope": {
    "grade": "exact for the stated lattice and phased-readout model",
    "physical_bridge": "The published continuum tests validate local pairwise Bragg, healing, null, and directional laws. They do not establish a passive air quorum.",
    "not_claimed": [
      "that passive free-space coupling creates a 1,024-way mode",
      "that every proper subset has zero kernel dimension",
      "field qualification of a fabricated 1,024-address instrument",
      "a wall-clock speedup inferred from the unmaterialized dense entry count"
    ]
  },
  "checks": {
    "C1_three_axes_sum_to_1024": true,
    "C2_inclusion_exclusion_reproduces_protected_count": true,
    "C3_mode_ledger_closes_to_volume": true,
    "C4_every_operating_mode_is_word_born": true,
    "C5_operating_spec_cross_ties": true,
    "C6_fault_ledger_is_closed": true
  },
  "ran": true,
  "audit_sha256": "87a1cd2837a3560883ef64121e5282f248b0b4319b6e0fa2d56b5185cb92982f"
}