PLATFORM PROFILEMSFT
Microsoft Copilot (M365)
5.23
B-index (V3.1)
BLACK HOLE
Capture1.922
Escape0.367
Key Structural Insight
Eleven-Parameter Profile
Data Depth9/10
Memory5/10
Action8/10
Process9/10
Network8/10
Closeness9/10
Portability4/10
Substitutability3/10
Human Fallback4/10
Org Depth9/10
Momentum4/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.7651 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.6708 | √(d · m) |
| Operability synergy σₒ | 0.8485 | √(a · p) |
| Synergy boost | 1.2279 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.4500 | 1 + 0.5·o |
| Momentum multiplier | 1.1200 | 1 + 0.3·t |
| Total Capture | 1.9225 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.3651 | CES(x, s, h) |
| Feedback attenuation | 0.7322 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.3673 | ε + escCore · feedback |
| B = Capture / Escape | 5.23 | 1.922 / 0.367 |
Scoring Rationale
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE9+1.16
SUB3-0.79
PORT4-0.67
FALL4-0.67
MEM5+0.62
ACT8+0.49
PROC9+0.46
DATA9+0.45
NET8+0.37
ORG9+0.36
MOM4+0.28
+ 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 | Apple Intelligence | AAPL | 4.43 | BLACK HOLE | Profile → |
| 03 | Google Gemini | GOOG | 3.22 | BLACK HOLE | Profile → |
| 04 | Cursor (Anysphere) | Private | 2.92 | 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 → |