{
  "certificate_id": "CITY-EIDOLON-FLIGHT-REPLAY-001",
  "checks": {
    "L_in_unit_interval": {
      "L0": 0.510776577,
      "L_final": 0.968451699,
      "pass": true
    },
    "W_recomputed_from_L": {
      "description": "Logged scalar amplitude matches the documented E2 thrust-envelope adapter.",
      "formula": "W = clip(scalar_amp * L / Ω_c, 0, 3)",
      "max_abs_error": 1.3936167775341346e-09,
      "pass": true
    },
    "channels_present": {
      "description": "Every sample logs W, L, m_eff, mode.",
      "pass": true
    },
    "evidence_class_locked_E2": {
      "description": "Certificate refuses any promotion above E2.",
      "pass": true
    },
    "m_eff_recomputed_from_L": {
      "description": "Logged inertia matches the documented E2 mass rule.",
      "formula": "m_eff = m * ((78/125)*(1-L) + 1e-6)",
      "max_abs_error": 3.7400001318133036e-07,
      "pass": true
    },
    "parent_invariants_declared": {
      "computed": {
        "dim_E47": 47,
        "dim_V": 125,
        "gap": 11664,
        "k2_max": 186624,
        "omega_c": 0.376
      },
      "description": "Replay binds the locked E47 invariants; it does not re-prove them.",
      "pass": true
    },
    "trajectory_merkle": {
      "n_samples": 961,
      "pass": true,
      "root": "36da7d47568e75d112b45c0fbc27163550a12e7c8c530cbd8f0a6dabe7c42b06"
    }
  },
  "claims": {
    "asserted": [
      "The attached trajectory logs W, L, m_eff, and mode at every sample.",
      "Logged m_eff and W recompute from L under the documented E2 rules.",
      "The Merkle root commits the sample sequence.",
      "The certificate is cryptographically bound to this payload by the E2 lab key.",
      "Parent E47 invariants are declared, not re-derived here."
    ],
    "refused": [
      "Physical inertial nullification.",
      "Measured SI thrust or vacuum specific impulse.",
      "Promotion of E2 game rules to E0, E1, E3, E4, or H1.",
      "Identity of the lab signing key with the originator.",
      "That WebGL rendering evaluates the 125-component field."
    ]
  },
  "craft": {
    "dt": 0.05,
    "duration_s": 48.0,
    "engine_mode": "translate",
    "id": "S-47",
    "lab_mode": "explore",
    "lock_target": 0.92,
    "mass_kg": 1200.0,
    "name": "Scalar craft",
    "scalar_amp": 0.7,
    "scale": "kernel",
    "seed": 47
  },
  "credits": {
    "affiliation": "AIMS Research Institute / Recursive Intelligence Consortium",
    "instrument": "EIDOLON · Scalar Flight Lab · The Mathematical City",
    "kernel": "E47 on V2⊗³, dim H=125, dim ker K=47, Ω_c=47/125",
    "license_intent": "CC0-1.0 aligned with E47-Kartekeya for the certificate payload",
    "originator": "Nicholas Shane Kouns",
    "signing_authority": "EIDOLON E2 lab instrument key (not a personal identity key)"
  },
  "environment": {
    "arch": "x86_64",
    "engine_path": "/home/workdir/.grok/skills/eidolon-propulsion/scripts/eidolon_engine.py",
    "implementation": "CPython",
    "numpy": "2.4.4",
    "os": "Linux 6.12.8+",
    "python": "3.12.3"
  },
  "evidence": {
    "class": "E2",
    "scope": "Educational flight-lab replay. Scalar thrust and effective mass are game-model rules. E47 spectral algebra is evaluated separately in the parent E0/E1 certificate. Rendering uses ordinary GPU graphics.",
    "status": "PASS"
  },
  "game_rules": {
    "L": "L = (n2 + n5) / Σ n                   # kernel occupancy",
    "W": "W = clip(scalar_amp * L / Ω_c, 0, 3)   # flight-deck envelope",
    "honesty": "These are E2 game rules. They are not SI flight-test results.",
    "m_eff": "m_eff = m * ((78/125)*(1-L) + 1e-6) # complement-weighted inertia",
    "mode": "engine mode mapped to lab mode; hover applies zero plane force",
    "thrust": "T_K = G L (Ω/Ω_c) (γ·n)/κ · m g0   # kernel units, game coupling"
  },
  "grammar": "CITY-INVARIANT 1.0",
  "issued_utc": "2026-09-19T20:55:13Z",
  "lineage": {
    "data_lifetime": "Lineage-aware retention. No deletion of this certificate or its trajectory without review of the entire upstream/downstream set.",
    "engine": "eidolon_engine.py 7-sector ODE, K=(C-6I)(C-30I)",
    "flight_lab": "https://eidolon-flight-lab.nicholaskouns.chatgpt.site/",
    "parent_certificate": "artifacts/e47_validation_certificate.json",
    "parent_evidence_class": [
      "E0",
      "E1"
    ],
    "parent_repository": "nicholaskouns-create/E47-Kartekeya",
    "parent_sha256": "bfc57650142200e967c18ee584d7dcc43cfc7405ec40478864023fb1525409f3",
    "parent_url": "https://raw.githubusercontent.com/nicholaskouns-create/E47-Kartekeya/main/artifacts/e47_validation_certificate.json",
    "sibling_certificate": "CITY-AETHERIS-WAVEFORGE-EIDOLON-001",
    "sibling_note": "Aetheris closed-loop numerical coupling; software only."
  },
  "schema": "CITY-EIDOLON-FLIGHT-REPLAY/1.0",
  "signature": {
    "alg": "Ed25519",
    "key_id": "EIDOLON-E2-LAB-2026-09-19",
    "payload_sha256": "ac9c7df7617c3a1c0cce68a6a3a427ad3956b4924cd1ca00eda79af1e909f7b1",
    "public_key_pem": "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEA5CgpbiprcN/oF9+ddBCmW7Bxv/B8VtPl1RkJ8kMryL8=\n-----END PUBLIC KEY-----\n",
    "signature_hex": "aaae9c491f2de855b5be34f4bafdbcd07f1d0368a6500079677d15f13284ad149d655a6ce41aefcd291c0ecfd3216440bc1406cc0ae3514d27b7088c1723140a",
    "signed_fields": "canonical JSON of the certificate excluding the signature object"
  },
  "trajectory": {
    "canonical_sha256": "8a8f7d40deb882f5e6d163a157babfdc59e0a6fd6e1c2583438e7ffb5e763b81",
    "channels": [
      "t",
      "W",
      "L",
      "m_eff",
      "mode",
      "lab_mode"
    ],
    "dt": 0.05,
    "merkle_root": "36da7d47568e75d112b45c0fbc27163550a12e7c8c530cbd8f0a6dabe7c42b06",
    "n_samples": 961,
    "summary": {
      "L0": 0.510776577,
      "L_final": 0.968451699,
      "W0": 0.95091384,
      "W_final": 1.802968588,
      "airspeed_final_mps": 38.154055,
      "m_eff_0": 366.331699196,
      "m_eff_final": 23.624567934,
      "range_m": 921.550068,
      "t_lock_s": 0.0
    },
    "t0": 0.0,
    "t1": 48.0,
    "uri": "trajectories/CITY-EIDOLON-FLIGHT-REPLAY-001.ndjson"
  }
}