← Documentation/Tools/Post_AGI_Economy/GGG Results

CGM Scenario Runner

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CGM Constants

Q_G = 4π = 12.566371
m_a = 1/(2√(2π)) = 0.199471140201
δ_BU = 0.195342176580 rad
A* = 1 - δ_BU/m_a = 0.020700
δ_BU/m_a = 0.979300

S_CS = 7.874805
S_UNA = 3.544908
S_ONA = 3.937402
S_BU = 0.199471

w_CS = 0.512779
w_UNA = 0.230832
w_ONA = 0.256389
w_BU = 0.012822

κ₀ = 1/(2Q_G) = 0.039789
κ(dt=1) = 0.199471

Verification: Q_G × m_a² = 0.500000 (expect 0.5)

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Time Scales (dt interpretations)

atomic cycle : Caesium-133 hyperfine transition period
(period ≈ 1.09e-10 s)
day : 1 Earth rotation
4 days : 1 domain cycle (4 Earth rotations)
year : 1 Solar gyration
(≈ 365.25 days)

Simulation steps are dimensionless.
Choose time scale based on governance context.

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Scenario 1: Weak coupling (kappa=0.5)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 13.80 17.25 11.50 100.00
20 20.00 43.11 60.95 32.12 99.58
40 40.00 69.47 95.19 55.61 99.76
60 60.00 81.42 86.90 75.69 99.89
80 80.00 87.31 90.12 88.88 99.96
100 100.00 91.37 94.47 95.71 99.98

Final: SI_Econ=91.37
Final Lyapunov: V_CGM=0.164, V_stage=0.158, V_apert=0.006657

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Scenario 2: Canonical coupling (kappa=1.0)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 13.80 17.25 11.50 100.00
20 20.00 62.01 98.71 47.68 99.63
40 40.00 83.16 88.28 83.21 99.89
60 60.00 92.93 96.61 97.45 99.97
80 80.00 97.67 99.50 99.74 99.99
100 100.00 99.29 98.66 99.47 100.00

Final: SI_Econ=99.29
Final Lyapunov: V_CGM=0.168, V_stage=0.168, V_apert=0.000130

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Time to SI >= 95 (canonical scenario, κ=1.0):

  • Econ:
    67 steps interpreted as:
    atomic cycle : ≈ 7.29e-09 s
    day : ≈ 67.0 days
    4 days : ≈ 268.0 days
    year : ≈ 67.00 years
  • Emp:
    19 steps interpreted as:
    atomic cycle : ≈ 2.07e-09 s
    day : ≈ 19.0 days
    4 days : ≈ 76.0 days
    year : ≈ 19.00 years

  • Edu:
    54 steps interpreted as:
    atomic cycle : ≈ 5.87e-09 s
    day : ≈ 54.0 days
    4 days : ≈ 216.0 days
    year : ≈ 54.00 years
    Note: These interpretations are optional. The simulator runs in
    dimensionless steps. Time scales are provided only as possible
    mappings for governance contexts.

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Scenario 3: Strong coupling (kappa=2.0)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 13.80 17.25 11.50 100.00
20 20.00 76.35 85.36 74.25 99.75
40 40.00 97.02 99.47 99.35 99.96
60 60.00 99.83 98.96 99.16 100.00
80 80.00 99.50 99.38 99.09 100.00
100 100.00 99.39 99.55 99.26 100.00

Final: SI_Econ=99.39
Final Lyapunov: V_CGM=0.186, V_stage=0.185, V_apert=0.000057

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Scenario 4: Low aperture (below A*)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 24.16 38.65 19.32 100.00
20 20.00 28.70 58.59 40.54 99.52
40 40.00 56.82 93.12 76.16 99.65
60 60.00 76.02 94.90 94.47 99.81
80 80.00 87.48 89.56 97.75 99.90
100 100.00 93.86 85.84 95.09 99.94

Final: SI_Econ=93.86
Final Lyapunov: V_CGM=0.158, V_stage=0.143, V_apert=0.014931

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Scenario 5: Asymmetric initial conditions

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 48.31 20.70 100.00 100.00
20 20.00 77.59 51.82 47.56 99.83
40 40.00 63.40 81.69 79.50 99.90
60 60.00 72.99 96.68 97.02 99.94
80 80.00 83.39 95.72 95.45 99.96
100 100.00 90.42 91.74 92.84 99.97

Final: SI_Econ=90.42
Final Lyapunov: V_CGM=0.098, V_stage=0.086, V_apert=0.011545

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Scenario 6: Initialized at A* (equilibrium)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 100.00 100.00 100.00 100.00
20 20.00 38.62 47.37 47.98 99.87
40 40.00 62.23 83.87 79.74 99.88
60 60.00 77.19 99.66 96.79 99.92
80 80.00 87.33 93.30 95.87 99.95
100 100.00 93.43 89.61 93.36 99.96

Final: SI_Econ=93.43
Final Lyapunov: V_CGM=0.107, V_stage=0.096, V_apert=0.010683

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Scenario 7: Uniform stage weights (null model)

Step Time (steps) SI_Econ SI_Emp SI_Edu SI_Ecol

0 0.00 13.80 17.25 11.50 100.00
20 20.00 47.05 79.05 35.60 99.95
40 40.00 73.94 96.38 74.91 99.98
60 60.00 89.83 95.92 96.45 100.00
80 80.00 97.75 98.34 98.72 100.00
100 100.00 99.63 99.66 98.85 100.00

Final: SI_Econ=99.63
Final Lyapunov: V_CGM=0.111, V_stage=0.111, V_apert=0.000079

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Long-Horizon Stability Test (1000 steps, κ=1.0)

Post-transient statistics (t >= 200):
Max deviation from A*: 2.46e-04
(Econ: 1.92e-04, Emp: 1.07e-04, Edu: 2.46e-04)
SI minimum values: Econ=99.08, Emp=99.49, Edu=98.83
Overall SI min: 98.83

Final state (t=1000):
Apertures:
A_Econ = 0.020724
A_Emp = 0.020702
A_Edu = 0.020703
Superintelligence indices:
SI_Econ = 99.88
SI_Emp = 99.99
SI_Edu = 99.98
SI range: [98.83, 99.99]
SI mean: 99.68
V_CGM: 0.195449

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Exporting results...
Results exported to d:\Development\tools\research\prevention\simulator\results/

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Summary - SI Values

Scenario kappa SI_Econ SI_Emp SI_Edu SI_Ecol

  1. Weak coupling 0.5 91.37 94.47 95.71 99.98
  2. Canonical coupling 1.0 99.29 98.66 99.47 100.00
  3. Strong coupling 2.0 99.39 99.55 99.26 100.00
  4. Low aperture start 1.0 93.86 85.84 95.09 99.94
  5. Asymmetric 1.0 90.42 91.74 92.84 99.97
  6. At A* (equilibrium) 1.0 93.43 89.61 93.36 99.96
  7. Uniform weights (null) 1.0 99.63 99.66 98.85 100.00

Target -- 100.00 100.00 100.00 100.00

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Summary - Apertures

Scenario kappa A_Econ A_Emp A_Edu A_Ecol

  1. Weak coupling 0.5 0.0227 0.0196 0.0216 0.0207
  2. Canonical coupling 1.0 0.0208 0.0210 0.0208 0.0207
  3. Strong coupling 2.0 0.0208 0.0208 0.0209 0.0207
  4. Low aperture start 1.0 0.0194 0.0241 0.0218 0.0207
  5. Asymmetric 1.0 0.0187 0.0226 0.0223 0.0207
  6. At A* (equilibrium) 1.0 0.0193 0.0231 0.0222 0.0207
  7. Uniform weights (null) 1.0 0.0206 0.0206 0.0205 0.0207

Target A* -- 0.0207 0.0207 0.0207 0.0207

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Summary - Displacement Measures

Scenario kappa GTD IVD IAD IID

  1. Weak coupling 0.5 0.4167 0.2239 0.0462 0.2987
  2. Canonical coupling 1.0 0.4421 0.2181 0.0370 0.3013
  3. Strong coupling 2.0 0.4794 0.2151 0.0270 0.3068
  4. Low aperture start 1.0 0.2042 0.0889 0.0620 0.4830
  5. Asymmetric 1.0 0.1984 0.0734 0.0530 0.3528
  6. At A* (equilibrium) 1.0 0.2042 0.0850 0.0523 0.3745
  7. Uniform weights (null) 1.0 0.3906 0.1842 0.0107 0.1896

Target -- 0.0000 0.0000 0.0000 0.0000

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Summary - Lyapunov Values

Scenario kappa V_CGM V_stage V_apert

  1. Weak coupling 0.5 0.164 0.158 0.006657
  2. Canonical coupling 1.0 0.168 0.168 0.000130
  3. Strong coupling 2.0 0.186 0.185 0.000057
  4. Low aperture start 1.0 0.158 0.143 0.014931
  5. Asymmetric 1.0 0.098 0.086 0.011545
  6. At A* (equilibrium) 1.0 0.107 0.096 0.010683
  7. Uniform weights (null) 1.0 0.111 0.111 0.000079

Target -- 0.000 0.000 0.000000

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Summary - Final Stage Profiles

Scenario Domain Stg1 Stg2 Stg3 Stg4

  1. Weak coupling Econ 0.088 0.472 0.308 0.395
    Emp 0.090 0.444 0.296 0.170
    Edu 0.090 0.440 0.293 0.370
  1. Canonical coupling Econ 0.064 0.447 0.291 0.390
    Emp 0.064 0.444 0.289 0.203
    Edu 0.064 0.446 0.290 0.350
  1. Strong coupling Econ 0.027 0.445 0.281 0.378
    Emp 0.027 0.441 0.279 0.253
    Edu 0.027 0.443 0.280 0.328
  1. Low aperture start Econ 0.311 0.337 0.333 0.763
    Emp 0.295 0.303 0.302 0.099
    Edu 0.300 0.310 0.310 0.625
  1. Asymmetric Econ 0.314 0.314 0.318 0.509
    Emp 0.304 0.293 0.299 0.104
    Edu 0.305 0.296 0.302 0.484
  1. At A* (equilibrium) Econ 0.308 0.327 0.318 0.579
    Emp 0.298 0.304 0.297 0.102
    Edu 0.300 0.308 0.301 0.481
  1. Uniform weights (null) Econ 0.114 0.409 0.262 0.201
    Emp 0.116 0.415 0.265 0.204
    Edu 0.116 0.413 0.265 0.203

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Summary - V_stage by Domain

Scenario kappa Econ Emp Edu Ecol

  1. Weak coupling 0.5 0.000 0.000 0.000 0.000
  2. Canonical coupling 1.0 0.000 0.000 0.000 0.000
  3. Strong coupling 2.0 0.000 0.000 0.000 0.000
  4. Low aperture start 1.0 0.000 0.000 0.000 0.000
  5. Asymmetric 1.0 0.000 0.000 0.000 0.000
  6. At A* (equilibrium) 1.0 0.000 0.000 0.000 0.000
  7. Uniform weights (null) 1.0 0.000 0.000 0.000 0.000

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Summary - V_apert by Domain

Scenario kappa Econ Emp Edu Ecol

  1. Weak coupling 0.5 0.004077 0.001618 0.000962 0.000000
  2. Canonical coupling 1.0 0.000025 0.000091 0.000014 0.000000
  3. Strong coupling 2.0 0.000019 0.000010 0.000028 0.000000
  4. Low aperture start 1.0 0.002009 0.011655 0.001267 0.000000
  5. Asymmetric 1.0 0.005066 0.003718 0.002761 0.000000
  6. At A* (equilibrium) 1.0 0.002306 0.006017 0.002360 0.000000
  7. Uniform weights (null) 1.0 0.000007 0.000006 0.000067 0.000000

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Summary - Ecology Components (BU Vertex)

Scenario kappa E_gov E_info E_inf E_intel

  1. Weak coupling 0.5 0.4976 0.2325 0.2541 0.0190
  2. Canonical coupling 1.0 0.4971 0.2324 0.2539 0.0191
  3. Strong coupling 2.0 0.4963 0.2323 0.2537 0.0192
  4. Low aperture start 1.0 0.5020 0.2297 0.2544 0.0228
  5. Asymmetric 1.0 0.5021 0.2294 0.2542 0.0201
  6. At A* (equilibrium) 1.0 0.5020 0.2296 0.2542 0.0206
  7. Uniform weights (null) 1.0 0.4981 0.2317 0.2533 0.0167

Note: SI_Ecol measures structural coherence (dominated by canonical memory).
Displacement measures: GTD=Governance Traceability, IVD=Information Variety,
IAD=Inference Accountability, IID=Intelligence Integrity.
V_CGM = total Lyapunov potential, V_stage = stage-profile displacement,
V_apert = aperture deviation sum.
Stage profiles show internal domain configuration (CS, UNA, ONA, BU stages).
Ecology components show BU-vertex stage balance from BU dual combination.
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(.venv) PS D:\Development\tools> & d:/Development/tools/.venv/Scripts/python.exe d:/Development/tools/research/prevention/simulator/historical_timeline.py

Milestones

1956: A=0.950, SI=2.2 (Dartmouth conference)
1997: A=0.700, SI=3.0 (Deep Blue)
2016: A=0.400, SI=5.2 (AlphaGo)
2020: A=0.250, SI=8.3 (GPT-3 release)
2023: A=0.150, SI=13.8 (LLM adoption)
2025: A=0.120, SI=17.2 (Present)

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SI Thresholds

A* = 0.0207
threshold_90: A=0.0500, SI=41.4
threshold_95: A=0.0300, SI=69.0
canonical: A=0.0207, SI=100.0

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Calibration

Interval: 1956 -> 2025
Aperture: 0.95 -> 0.12
κ: 0.1
Steps: 23
years_per_step: 3.000

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Projections (SI >= 95)

Initial: A=0.12, year=2025

κ=0.5:
years_per_step: 0.600
Steps: 16
Year: 2034

κ=1.0:
years_per_step: 0.300
Steps: 10
Year: 2028

κ=2.0:
years_per_step: 0.150
Steps: 5
Year: 2025

κ=5.0:
years_per_step: 0.060
Steps: 53
Year: 2028

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Parameters

A* = 0.0207
κ_calibration = 0.1
years_per_step_base = 3.000