PLATFORM PROFILEGOOG
Alphabet/Google
4.62
B-index (V3.1)
BLACK HOLE
Capture2.029
Escape0.440
Key Structural Insight
Lock-in is distribution, not depth. Surface area across Search, Android, Chrome, Gmail unmatched.
Eleven-Parameter Profile
Data Depth9/10
Memory7/10
Action7/10
Process8/10
Network9/10
Closeness9/10
Portability5/10
Substitutability4/10
Human Fallback5/10
Org Depth7/10
Momentum7/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.7728 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.7937 | √(d · m) |
| Operability synergy σₒ | 0.7483 | √(a · p) |
| Synergy boost | 1.2313 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.3500 | 1 + 0.5·o |
| Momentum multiplier | 1.2100 | 1 + 0.3·t |
| Total Capture | 2.0285 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.4654 | CES(x, s, h) |
| Feedback attenuation | 0.7295 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.4395 | ε + escCore · feedback |
| B = Capture / Escape | 4.62 | 2.029 / 0.440 |
Scoring Rationale
Search (90%+), Android (3B+), Chrome (65%+), Gmail (1.8B), YouTube, Maps, Workspace. Google account = identity for billions.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE9+1.03
SUB4-0.56
PORT5-0.50
FALL5-0.50
MEM7+0.47
ACT7+0.46
PROC8+0.43
DATA9+0.41
ORG7+0.34
NET9+0.32
MOM7+0.23
+ raises B (deepens lock-in)− lowers B (aids escape)