Technical Memorandum // Quantitative Catastrophe Modeling

Deconstructing the "Doom Train"

An interactive compound probability simulator evaluating the 7 sequential failure dependencies required for autonomous AGI-driven human extinction. Based on the compound attrition identity \(P(\text{Extinction}) = \prod_{i=1}^{7} P(\text{Failure}_i)\).

METRIC 01 Cumulative P(Doom)

0.781%

Uniform 50.0% failure rate across all 7 stops

METRIC 02 Reliability Odds Ratio

1 in 128

True mathematical probability of unbroken sequence

METRIC 03 Empirical Benchmark

Flipping 7 Tails in a row

7 consecutive independent coin flips

METRIC 04 Containment / Off-Ramp

99.219%

Trajectories safely exited via engineering constraints

Empirical Benchmark Hypotheses

SELECT OPERATIONAL BASELINE OR CALIBRATE BELOW

STRUCTURAL COUPLING MODEL:

UNIFORM SAFEGUARD FAILURE RATE PER STOP (\(p\)):

VALUE: 50.0%

1% (Aerospace & Nuclear Standard) 30% (Severe Pessimist) 50% (Pure Coin Flip) 90.6% (Required for 50% p(doom)) 99%

Empirical Magnitude Matrix (10,000 Simulated Technological Futures)

EACH MATRIX NODE REPRESENTS ONE INDEPENDENT TRAJECTORY OF GLOBAL AI RESEARCH

9,922 SAFE OFF-RAMPS

78 EXTINCTIONS

HUD // GRID: 125 × 80 NODES [TOTAL: 10,000] HOVER TO INSPECT INDIVIDUAL TRAJECTORY TELEMETRY

Live Monte Carlo Attrition Telemetry: Propagate 1,000 live AI initiatives through the 7 sequential failure gates.

Sequential Fault Tree // The 7 Critical Failure Dependencies

CLICK ANY NODE TO INSPECT EMPIRICAL CONTAINMENT FACTORS

Stop 1: Imminence & Infinite Scaling SURVIVAL: 50.0%

• DOOMER CLAIM (ZERO FRICTION)

Unchecked exponential explosion without physical or algorithmic ceilings.

• ENGINEERING CONTAINMENT FACTOR

Thermodynamic limits, data saturation, energy infrastructure, diminishing returns.