{
  "all_ok": true,
  "citations": {
    "aging_primitive": "Truong & Heath \u2014 arXiv:1305.6151 (rho(f_D*T) aging law)",
    "design_around_contrast": "arXiv:2603.24024 (empirical Delta=3dB shield \u2014 tuned, not derived)",
    "narrowed_claim_thread": "NOVELTY_RISK_MEMO \u00a72.3: keep/switch boundary numerically derived from a finite-blocklength bound",
    "scattering": "Clarke 1968 / Jakes 1974 isotropic model"
  },
  "csi_proxy_mapping": {
    "csi_model_untouched": true,
    "mapping": "common/csi_model.py's unitless aging proxy (aging_thr=0.25) corresponds to age/T* normalized by the reporting scale: aging_proxy ~ age_s / T*(v,f_c,g,g_req). The physical parameterization lives ENTIRELY in common/channel_aging.py and this producer \u2014 csi_model.py is not edited (pinned benchmark bytes untouched, the pre-decided C1 fallback)."
  },
  "exactness_checks": {
    "crossing_tight_both_sides": true,
    "inverse_velocity_law_exact": true,
    "j0_principal_branch_monotone_grid": true
  },
  "executed": true,
  "explicit_non_claim": "NOT a claim about sparse mmWave AoA/AoD geometries (the DeepMIMO advisory validates the decay law separately, UNPINNED), NOT about non-isotropic scattering or real arrays; the 0.423/f_D rule of thumb is a different convention, not an error; the wall target is the AWGN sphere-packing converse (the pinned Rician banner is re-asserted untouched, not re-derived here). CONVERSE SEMANTICS (load-bearing): g_req is the CONVERSE wall SNR, so past T* the (n, eps) target is provably UNREACHABLE \u2014 the floor claim; INSIDE T* the converse merely no longer forbids it ('meets_target_if_served' = at/above the impossibility floor, NOT an achievability guarantee \u2014 the achievability side sits higher, per the repo's two-sided band methodology).",
  "fbl_targets": {
    "fresh_snr_db": 10.0,
    "n_block": 60,
    "rate_bits_per_use": 0.5,
    "wall_snr_db_by_eps": {
      "1e-05": 0.14389856847455368,
      "1e-06": 0.550073860807502
    }
  },
  "flagship": {
    "carrier": "28GHz",
    "eps": 1e-05,
    "fresh_snr_db": 10.0,
    "gate_demo": [
      {
        "age_s": 8.853574302555523e-05,
        "effective_snr_lin": 3.8180496006921505,
        "meets_target_if_served": true,
        "rho": 0.933644390611351,
        "serve": true,
        "t_star_s": 0.00017707148605111046
      },
      {
        "age_s": 0.00017530077119059937,
        "effective_snr_lin": 1.0604640535631447,
        "meets_target_if_served": true,
        "rho": 0.7524225405360808,
        "serve": true,
        "t_star_s": 0.00017707148605111046
      },
      {
        "age_s": 0.00017884220091162156,
        "effective_snr_lin": 1.00757799179314,
        "meets_target_if_served": true,
        "rho": 0.7430182241903014,
        "serve": false,
        "t_star_s": 0.00017707148605111046
      },
      {
        "age_s": 0.00035414297210222093,
        "effective_snr_lin": 0.030000924196217287,
        "meets_target_if_served": true,
        "rho": 0.17899662904235797,
        "serve": false,
        "t_star_s": 0.00017707148605111046
      }
    ],
    "gate_safe_inside_floor": true,
    "headline": "a 28GHz beam/CSI prediction for a 10 m/s user is PHYSICALLY invalid after 0.1771 ms against the eps=1e-05 FBL wall \u2014 the gate boundary is derived, not tuned",
    "naive_past_floor_below_target": true,
    "t_star_ms": 0.17707148605111048,
    "v_mps": 10.0,
    "wall_snr_db": 0.14389856847455368
  },
  "floor_grid": {
    "28GHz": {
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            "crossing_tight": true,
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            "t_star_s": 0.0017707148605111045,
            "v_mps": 1.0
          },
          {
            "coherence_time_rho05_ms": 0.8640361114356289,
            "crossing_tight": true,
            "f_doppler_hz": 280.19383996644774,
            "t_star_ms": 0.5902382868370348,
            "t_star_s": 0.0005902382868370348,
            "v_mps": 3.0
          },
          {
            "coherence_time_rho05_ms": 0.2592108334306887,
            "crossing_tight": true,
            "f_doppler_hz": 933.9794665548258,
            "t_star_ms": 0.17707148605111048,
            "t_star_s": 0.00017707148605111046,
            "v_mps": 10.0
          },
          {
            "coherence_time_rho05_ms": 0.0864036111435629,
            "crossing_tight": true,
            "f_doppler_hz": 2801.9383996644774,
            "t_star_ms": 0.05902382868370348,
            "t_star_s": 5.9023828683703486e-05,
            "v_mps": 30.0
          },
          {
            "coherence_time_rho05_ms": 0.02592108334306887,
            "crossing_tight": true,
            "f_doppler_hz": 9339.794665548257,
            "t_star_ms": 0.017707148605111047,
            "t_star_s": 1.7707148605111047e-05,
            "v_mps": 100.0
          }
        ],
        "t_star_times_v_constant": true,
        "wall_snr_db": 0.14389856847455368
      },
      "1e-06": {
        "rows": [
          {
            "coherence_time_rho05_ms": 2.592108334306887,
            "crossing_tight": true,
            "f_doppler_hz": 93.39794665548257,
            "t_star_ms": 1.7059309816558772,
            "t_star_s": 0.0017059309816558773,
            "v_mps": 1.0
          },
          {
            "coherence_time_rho05_ms": 0.8640361114356289,
            "crossing_tight": true,
            "f_doppler_hz": 280.19383996644774,
            "t_star_ms": 0.568643660551959,
            "t_star_s": 0.000568643660551959,
            "v_mps": 3.0
          },
          {
            "coherence_time_rho05_ms": 0.2592108334306887,
            "crossing_tight": true,
            "f_doppler_hz": 933.9794665548258,
            "t_star_ms": 0.1705930981655877,
            "t_star_s": 0.00017059309816558772,
            "v_mps": 10.0
          },
          {
            "coherence_time_rho05_ms": 0.0864036111435629,
            "crossing_tight": true,
            "f_doppler_hz": 2801.9383996644774,
            "t_star_ms": 0.05686436605519591,
            "t_star_s": 5.686436605519591e-05,
            "v_mps": 30.0
          },
          {
            "coherence_time_rho05_ms": 0.02592108334306887,
            "crossing_tight": true,
            "f_doppler_hz": 9339.794665548257,
            "t_star_ms": 0.01705930981655877,
            "t_star_s": 1.705930981655877e-05,
            "v_mps": 100.0
          }
        ],
        "t_star_times_v_constant": true,
        "wall_snr_db": 0.550073860807502
      }
    },
    "3.5GHz": {
      "1e-05": {
        "rows": [
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            "coherence_time_rho05_ms": 20.736866674455097,
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            "t_star_s": 0.014165718884088836,
            "v_mps": 1.0
          },
          {
            "coherence_time_rho05_ms": 6.912288891485031,
            "crossing_tight": true,
            "f_doppler_hz": 35.02422999580597,
            "t_star_ms": 4.721906294696279,
            "t_star_s": 0.004721906294696278,
            "v_mps": 3.0
          },
          {
            "coherence_time_rho05_ms": 2.0736866674455094,
            "crossing_tight": true,
            "f_doppler_hz": 116.74743331935322,
            "t_star_ms": 1.4165718884088838,
            "t_star_s": 0.0014165718884088837,
            "v_mps": 10.0
          },
          {
            "coherence_time_rho05_ms": 0.6912288891485032,
            "crossing_tight": true,
            "f_doppler_hz": 350.2422999580597,
            "t_star_ms": 0.47219062946962786,
            "t_star_s": 0.0004721906294696279,
            "v_mps": 30.0
          },
          {
            "coherence_time_rho05_ms": 0.20736866674455096,
            "crossing_tight": true,
            "f_doppler_hz": 1167.4743331935322,
            "t_star_ms": 0.14165718884088838,
            "t_star_s": 0.00014165718884088838,
            "v_mps": 100.0
          }
        ],
        "t_star_times_v_constant": true,
        "wall_snr_db": 0.14389856847455368
      },
      "1e-06": {
        "rows": [
          {
            "coherence_time_rho05_ms": 20.736866674455097,
            "crossing_tight": true,
            "f_doppler_hz": 11.674743331935321,
            "t_star_ms": 13.647447853247018,
            "t_star_s": 0.013647447853247018,
            "v_mps": 1.0
          },
          {
            "coherence_time_rho05_ms": 6.912288891485031,
            "crossing_tight": true,
            "f_doppler_hz": 35.02422999580597,
            "t_star_ms": 4.549149284415672,
            "t_star_s": 0.004549149284415672,
            "v_mps": 3.0
          },
          {
            "coherence_time_rho05_ms": 2.0736866674455094,
            "crossing_tight": true,
            "f_doppler_hz": 116.74743331935322,
            "t_star_ms": 1.3647447853247017,
            "t_star_s": 0.0013647447853247017,
            "v_mps": 10.0
          },
          {
            "coherence_time_rho05_ms": 0.6912288891485032,
            "crossing_tight": true,
            "f_doppler_hz": 350.2422999580597,
            "t_star_ms": 0.4549149284415673,
            "t_star_s": 0.0004549149284415673,
            "v_mps": 30.0
          },
          {
            "coherence_time_rho05_ms": 0.20736866674455096,
            "crossing_tight": true,
            "f_doppler_hz": 1167.4743331935322,
            "t_star_ms": 0.13647447853247016,
            "t_star_s": 0.00013647447853247017,
            "v_mps": 100.0
          }
        ],
        "t_star_times_v_constant": true,
        "wall_snr_db": 0.550073860807502
      }
    }
  },
  "gate_species": {
    "bfs_candidate_holds": true,
    "bfs_candidate_states": 16,
    "bfs_naive_refuted": true,
    "bfs_naive_states": 12,
    "bridge_external": true,
    "note": "tracked OUTSIDE essentiality_bridge _reg() and OUTSIDE REGISTRY by design \u2014 the pinned n_machine_checked==8 and canonical-8 ledgers stay byte-identical; this leg carries its own two-engine check",
    "two_engine_ok": true,
    "z3_inductive_proven": true
  },
  "honest_scope": "The staleness floor T* is EXACT within the declared model: isotropic Jakes/Clarke scattering + matched-beam outdated-CSI loss + the exact AWGN sphere-packing wall as the target. The crossing is tight both sides, the inverse-velocity law is exact on the grid, the order is z3-certified, and the gate species is two-engine (BFS + z3 UNBOUNDED inductive). MODEL, NOT OTA.",
  "physics": {
    "aging_loss": "gamma_eff = rho^2*g / (1 + (1-rho^2)*g) (matched-beam outdated CSI)",
    "autocorrelation": "Jakes/Clarke rho(tau) = J0(2*pi*f_D*tau)",
    "convention": "T* is the EXACT first J0 crossing on the principal branch \u2014 not the ~0.423/f_D rule of thumb (a different convention)",
    "doppler": "f_D = v * f_c / c"
  },
  "schema": "staleness-floor-v93",
  "skipped": false,
  "wall_banner_untouched": {
    "checked": true,
    "reference": {
      "slope": 5.673,
      "wall_1e5": 18.7858,
      "wall_1e6": 26.4421
    },
    "slope_db_per_decade": 5.673,
    "unchanged": true,
    "wall_1e5_db": 18.7858,
    "wall_1e6_db": 26.4421
  },
  "z3_ordering_lemma": {
    "name": "staleness_floor_ordering",
    "proven": true,
    "tier": "z3-lra"
  }
}
