PLATFORM PROFILEPrivate
Cursor (Anysphere)
2.92
B-index (V3.1)
BLACK HOLE
Capture1.394
Escape0.478
Key Structural Insight
Eleven-Parameter Profile
Data Depth7/10
Memory6/10
Action8/10
Process7/10
Network6/10
Closeness8/10
Portability5/10
Substitutability5/10
Human Fallback5/10
Org Depth5/10
Momentum9/10
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 | 1.2500 | 1 + 0.5·o |
| Momentum multiplier | 1.2700 | 1 + 0.3·t |
| Total Capture | 1.3942 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.5000 | CES(x, s, h) |
| Feedback attenuation | 0.7556 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.4778 | ε + escCore · feedback |
| B = Capture / Escape | 2.92 | 1.394 / 0.478 |
Scoring Rationale
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE8+0.73
MEM6+0.32
PORT5-0.31
SUB5-0.31
FALL5-0.31
PROC7+0.30
DATA7+0.30
ACT8+0.28
ORG5+0.23
NET6+0.22
MOM9+0.14
+ raises B (deepens lock-in)− lowers B (aids escape)
Comparable Platforms — AI Platforms (9 peers)
| # | Platform | Ticker | B-index | Zone | |
|---|---|---|---|---|---|
| 01 | AI-OS (Theoretical) | - | 7.67 | BLACK HOLE | Profile → |
| 02 | Microsoft Copilot (M365) | MSFT | 5.23 | BLACK HOLE | Profile → |
| 03 | Apple Intelligence | AAPL | 4.43 | BLACK HOLE | Profile → |
| 04 | Google Gemini | GOOG | 3.22 | BLACK HOLE | Profile → |
| 05 | ChatGPT | Private | 2.25 | EVENT HORIZON | Profile → |
| 06 | Grok (xAI) | Private | 1.78 | EVENT HORIZON | Profile → |
| 07 | Claude (Anthropic) | Private | 1.66 | EVENT HORIZON | Profile → |
| 08 | Perplexity | Private | 0.95 | TRANSITION | Profile → |
| 09 | Chat LLM (Generic) | - | 0.22 | USEFUL TOOL | Profile → |