Thermodynamic intelligence evaluation on Numerical thermodynamic-intelligence scale
10Intelligence Index (I)Maxwell demon with ∆S = 10^−19 J/K
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Maxwell demon with ∆S = 10^−19 J/KCalculation basis=Fluctuation-theorem scale with ∆S/kB = 7242.97.2026.06 | 10 | 3.498 | |
| Velocity-selection demon in 1 mm^3 airCalculation basis=Maxwell–Boltzmann velocity selection with N = 2.44 × 10^16 and ϵ = 2–5.2026.06 | 10 | 14.653 | |
| Sparse velocity-selection demonCalculation basis=Maxwell–Boltzmann velocity selection with N = 100 particles and ϵ = 2–5.2026.06 | 7 | 0.455 | |
| GPT-5 symbolic generationCalculation basis=Central sentence-scale rare-valid lift with NV = 5 × 10^21, NG = 10^7, n⋆ = 100, HH = 0.77, HGPT5 = 0.74 bits/character, and ρ100 = 0.2026.06 | 6.25 | 1.17 | |
| Expert human symbolic generationCalculation basis=Same sentence-scale calculation with qH ≈ 1: IH + 1 = NV /NG.2026.06 | 5 | 1.196 | |
| Repeated dynamic controllerCalculation basis=Sequential binary lift over 7–10 controlled stages, I + 1 ≈ 2^7–2^10.2026.06 | 1.27 | 0.493 | |
| Narrow fixed-feedback controllerCalculation basis=Constant rare-valid lift, P(Vδ) = αδ, with α = 2–10^2.2026.06 | 1 | 0.114 | |
| Passive matter / passive gasCalculation basis=Baseline dynamics, P = P0.2026.06 | 0 | 0 |