PLATFORM PROFILEXYZ
Block (Square)
2.81
B-index (V3.1)
BLACK HOLE
Capture1.271
Escape0.452
Key Structural Insight
Bilateral lock-in: merchant POS and consumer Cash App reinforce each other.
Eleven-Parameter Profile
Data Depth7/10
Memory6/10
Action7/10
Process8/10
Network7/10
Closeness7/10
Portability4/10
Substitutability5/10
Human Fallback5/10
Org Depth7/10
Momentum6/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.6982 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.6481 | √(d · m) |
| Operability synergy σₒ | 0.7483 | √(a · p) |
| Synergy boost | 1.2095 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.3500 | 1 + 0.5·o |
| Momentum multiplier | 1.1800 | 1 + 0.3·t |
| Total Capture | 1.2712 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.4654 | CES(x, s, h) |
| Feedback attenuation | 0.7556 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.4517 | ε + escCore · feedback |
| B = Capture / Escape | 2.81 | 1.271 / 0.452 |
Scoring Rationale
Square POS: hardware + software + payroll + banking + loans. Cash App: P2P + BTC + direct deposit. Bilateral lock-in through payment loop.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE7+0.80
PORT4-0.34
MEM6+0.31
SUB5-0.31
FALL5-0.31
ACT7+0.29
DATA7+0.28
PROC8+0.27
NET7+0.21
ORG7+0.21
MOM6+0.14
+ raises B (deepens lock-in)− lowers B (aids escape)