PLATFORM PROFILEAAPL
Apple
5.22
B-index (V3.1)
BLACK HOLE
Capture1.910
Escape0.366
Key Structural Insight
Apple lock-in is the sum of a dozen small locks. No single feature irreplaceable. All together — inescapable.
Eleven-Parameter Profile
Data Depth8/10
Memory8/10
Action7/10
Process8/10
Network9/10
Closeness9/10
Portability3/10
Substitutability4/10
Human Fallback4/10
Org Depth6/10
Momentum6/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.7744 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.8000 | √(d · m) |
| Operability synergy σₒ | 0.7483 | √(a · p) |
| Synergy boost | 1.2322 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.3000 | 1 + 0.5·o |
| Momentum multiplier | 1.1800 | 1 + 0.3·t |
| Total Capture | 1.9102 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.3651 | CES(x, s, h) |
| Feedback attenuation | 0.7290 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.3661 | ε + escCore · feedback |
| B = Capture / Escape | 5.22 | 1.910 / 0.366 |
Scoring Rationale
2.2B devices. iCloud, iMessage, AirDrop, Watch, AirPods, HomeKit. Each product deepens ecosystem. Switching = replacing all hardware simultaneously.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE9+1.16
PORT3-0.78
SUB4-0.67
FALL4-0.67
ACT7+0.52
DATA8+0.49
MEM8+0.49
PROC8+0.48
ORG6+0.40
NET9+0.36
MOM6+0.27
+ raises B (deepens lock-in)− lowers B (aids escape)