{
  "validation_summary": {
    "tests_passed": 30,
    "tests_total": 30,
    "pass_rate": 1.0,
    "status": "ALL PASSED"
  },
  "test_results": {
    "M2_heisenberg": {
      "passed": true,
      "description": "M^2 >= 1.0 by Heisenberg uncertainty",
      "value": 1.0411709110320817,
      "expected": ">= 1.0",
      "error": null
    },
    "M2_reasonable": {
      "passed": true,
      "description": "M^2 < 2.0 for corrected beam",
      "value": 1.0411709110320817,
      "expected": "<= 2.0",
      "error": null
    },
    "M2_gaussian_crosscheck": {
      "passed": true,
      "description": "Independent Gaussian M^2 = 1.0",
      "value": 1.0,
      "expected": 1.0,
      "error": 0.0
    },
    "M2_uncertainty": {
      "passed": true,
      "description": "M^2 uncertainty is physically reasonable",
      "value": 0.005002914652795593,
      "expected": "0.0 to 1.0",
      "error": null
    },
    "energy_conservation": {
      "passed": true,
      "description": "Round-trip energy conservation",
      "value": 2.680426126549598e-16,
      "expected": "<= 1e-06",
      "error": null
    },
    "energy_decay": {
      "passed": true,
      "description": "Cavity energy decays (passive system)",
      "value": 8.944985318619315e-08,
      "expected": "<= 9.87521333227229e-08",
      "error": null
    },
    "output_positive": {
      "passed": true,
      "description": "Output energy is positive",
      "value": 4.4907529303750574e-08,
      "expected": ">= 0.0",
      "error": null
    },
    "efficiency_passive": {
      "passed": true,
      "description": "Efficiency <= 1.0 for passive system",
      "value": 0.914860512910343,
      "expected": "<= 1.000001",
      "error": null
    },
    "efficiency_positive": {
      "passed": true,
      "description": "Efficiency > 0 (some transmission)",
      "value": 0.914860512910343,
      "expected": ">= 0.0",
      "error": null
    },
    "efficiency_estimate": {
      "passed": true,
      "description": "Efficiency matches cavity field evolution model",
      "value": 0.914860512910343,
      "expected": 1.1063650062595913,
      "error": 0.1730934115466002
    },
    "squeezing_X_SQL": {
      "passed": true,
      "description": "X-quadrature near SQL (no parametric process)",
      "value": -0.012313063748253514,
      "expected": 0.0,
      "error": 0.012313063748253514
    },
    "squeezing_P_SQL": {
      "passed": true,
      "description": "P-quadrature near SQL (no parametric process)",
      "value": 0.012313063748253514,
      "expected": 0.0,
      "error": 0.012313063748253514
    },
    "squeezing_physical": {
      "passed": true,
      "description": "Squeezing level physically achievable",
      "value": 0.012313063748253514,
      "expected": "<= 15.0",
      "error": null
    },
    "critical_power_marburger": {
      "passed": true,
      "description": "P_cr matches Marburger formula",
      "value": 797145.7110630076,
      "expected": 797145.7110630076,
      "error": 0.0
    },
    "critical_power_order": {
      "passed": true,
      "description": "P_cr is in MW range for fused silica",
      "value": 797145.7110630076,
      "expected": "100000.0 to 10000000.0",
      "error": null
    },
    "cavity_finesse": {
      "passed": true,
      "description": "Finesse matches F = pi*sqrt(R)/(1-R)",
      "value": 120.14821954346525,
      "expected": 120.14821954346525,
      "error": 0.0
    },
    "cavity_Q": {
      "passed": true,
      "description": "Q-factor matches 2*pi*n*L/(lambda*(1-R))",
      "value": 396458751.16560555,
      "expected": 396458751.16560555,
      "error": 0.0
    },
    "thermal_near_ambient": {
      "passed": true,
      "description": "Temperature near ambient (tiny absorption)",
      "value": 293.15,
      "expected": 293.15,
      "error": 0.0
    },
    "thermal_stability": {
      "passed": true,
      "description": "Temperature stability (std) is small",
      "value": 0.0,
      "expected": "<= 1.0",
      "error": null
    },
    "thermal_no_runaway": {
      "passed": true,
      "description": "No thermal runaway (T < 500K)",
      "value": 293.15,
      "expected": "<= 500.0",
      "error": null
    },
    "fce_near_fixed_point": {
      "passed": true,
      "description": "Lorenz state near C+ or C- fixed point",
      "value": 0.5604268269402423,
      "expected": "<= 5.0",
      "error": null
    },
    "fce_lyapunov_positive": {
      "passed": true,
      "description": "Positive Lyapunov exponent (chaotic dynamics)",
      "value": 1.71099575183115,
      "expected": ">= 0.0",
      "error": null
    },
    "fce_fractal_dimension": {
      "passed": true,
      "description": "Fractal dimension in [1, 3]",
      "value": 1.4605182444010643,
      "expected": "1.0 to 3.0",
      "error": null
    },
    "fce_trajectory_length": {
      "passed": true,
      "description": "Sufficient trajectory for dynamics",
      "value": 201.0,
      "expected": ">= 50.0",
      "error": null
    },
    "fce_curvature_positive": {
      "passed": true,
      "description": "Positive mean curvature (nontrivial trajectory)",
      "value": 1.8479607052955527,
      "expected": ">= 0.0",
      "error": null
    },
    "self_focusing_negligible": {
      "passed": true,
      "description": "P/P_cr << 1 (no self-focusing at 20W)",
      "value": 2.508951590961915e-05,
      "expected": "<= 0.01",
      "error": null
    },
    "self_focusing_ratio_check": {
      "passed": true,
      "description": "P/P_cr matches P_laser / P_cr",
      "value": 2.508951590961915e-05,
      "expected": 2.508951590961915e-05,
      "error": 0.0
    },
    "no_nan_inf": {
      "passed": true,
      "description": "No NaN or Inf in physics results",
      "value": null,
      "expected": null,
      "error": null
    },
    "kerr_phase_positive": {
      "passed": true,
      "description": "Kerr phase is positive and small",
      "value": 0.0014175938517907224,
      "expected": "0.0 to 1.0",
      "error": null
    },
    "decoherence_positive": {
      "passed": true,
      "description": "Decoherence time is positive and finite",
      "value": 4.9000000000000006e-14,
      "expected": ">= 0.0",
      "error": null
    }
  },
  "physics_validation": {
    "beam_quality": {
      "M2": 1.0411709110320817,
      "M2_uncertainty": 0.005002914652795593,
      "heisenberg_satisfied": true,
      "diffraction_limited": true
    },
    "energy_conservation": {
      "conservation_error": 2.680426126549598e-16,
      "input_energy_J": 9.777430758448243e-10,
      "output_energy_J": 4.4907529303750574e-08,
      "loss_energy_J": -3.5605249985660394e-08
    },
    "quantum_state": {
      "squeezing_X_dB": -0.012313063748253514,
      "squeezing_P_dB": 0.012313063748253514,
      "state": "coherent (SQL)"
    },
    "nonlinear_optics": {
      "P_cr_W": 797145.7110630076,
      "self_focusing_ratio": 2.508951590961915e-05,
      "kerr_phase_rad": 0.0014175938517907224,
      "regime": "linear"
    }
  },
  "fce_validation": {
    "lorenz_near_equilibrium": [
      8.196685169739965,
      8.0187102979105,
      26.88553651308223
    ],
    "lyapunov_exponent": 1.71099575183115,
    "fractal_dimension": 1.4605182444010643,
    "dynamics_developed": true
  },
  "thermal_validation": {
    "final_temperature_K": 293.15,
    "stability_K": 0.0,
    "ambient_K": 293.15,
    "thermally_stable": true
  }
}