PLATFORM PROFILENVDA
NVIDIA (CUDA)
8.29
B-index (V3.1)
BLACK HOLE
Capture2.192
Escape0.265
Key Structural Insight
Strongest developer lock-in in technology. CUDA is to AI what x86 was to PCs.
Eleven-Parameter Profile
Data Depth7/10
Memory8/10
Action9/10
Process9/10
Network9/10
Closeness8/10
Portability2/10
Substitutability2/10
Human Fallback3/10
Org Depth9/10
Momentum9/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.8229 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.7483 | √(d · m) |
| Operability synergy σₒ | 0.9000 | √(a · p) |
| Synergy boost | 1.2472 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.4500 | 1 + 0.5·o |
| Momentum multiplier | 1.2700 | 1 + 0.3·t |
| Total Capture | 2.1923 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.2311 | CES(x, s, h) |
| Feedback attenuation | 0.7120 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.2645 | ε + escCore · feedback |
| B = Capture / Escape | 8.29 | 2.192 / 0.265 |
Scoring Rationale
Millions of developers locked into CUDA. Switching to ROCm = rewriting years of code. $200B+ hyperscaler GPU capex. Every major AI framework optimized for CUDA first.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE8+2.07
PORT2-1.68
SUB2-1.68
FALL3-1.34
DATA7+0.79
MEM8+0.73
ACT9+0.70
PROC9+0.70
NET9+0.57
ORG9+0.57
MOM9+0.39
+ raises B (deepens lock-in)− lowers B (aids escape)