⚙ Trilemma Variables
0.20
Fraction of human-stage species surviving to posthuman capacity.
0.50
Fraction of posthumans running ancestor simulations.
10,000
Avg number of ancestor simulations created by each sim-running civ.
3 Tiers
How deep ancestor sims run child sub-simulations.
⚡ Compute Constraints
10^17
FLOPS required to simulate 1 human mind (Bostrom baseline ~10^14–10^17).
10^42
Total posthuman compute capacity (e.g., Dyson sphere planet-computer).
Only render macro-observations until micro-physics are measured (saves 90%+ compute).
Sim Observer Fraction (f_s)
99.99%
Active Tree Nodes
10,001
Compute Efficiency
85.4%
Simulated Minds
1.0e+11
▲ Probability Landscape
🧮 Derivation & Proof
Bostrom's Core Trilemma Equation:
f_s = \frac{f_p \cdot f_r \cdot N}{(1 - f_p) + f_p \cdot f_r \cdot N}
Where $f_s$ represents the fraction of human-equivalent observers existing inside virtual realities rather than fundamental base reality.