PLATFORM PROFILEPrivate
Grok (xAI)
1.78
B-index (V3.1)
EVENT HORIZON
Capture1.136
Escape0.639
Key Structural Insight
Eleven-Parameter Profile
Data Depth7/10
Memory5/10
Action6/10
Process4/10
Network8/10
Closeness9/10
Portability6/10
Substitutability7/10
Human Fallback7/10
Org Depth3/10
Momentum8/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.5442 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.5916 | √(d · m) |
| Operability synergy σₒ | 0.4899 | √(a · p) |
| Synergy boost | 1.1622 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.1500 | 1 + 0.5·o |
| Momentum multiplier | 1.2400 | 1 + 0.3·t |
| Total Capture | 1.1364 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.6658 | CES(x, s, h) |
| Feedback attenuation | 0.8095 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.6390 | ε + escCore · feedback |
| B = Capture / Escape | 1.78 | 1.136 / 0.639 |
Scoring Rationale
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE9+0.40
PROC4+0.26
MEM5+0.23
ACT6+0.21
DATA7+0.19
PORT6-0.16
ORG3+0.15
SUB7-0.15
FALL7-0.15
NET8+0.13
MOM8+0.09
+ 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 | 4.99 | BLACK HOLE | Profile → |
| 03 | Apple Intelligence | AAPL | 4.43 | BLACK HOLE | Profile → |
| 04 | Google Gemini | GOOG | 3.15 | BLACK HOLE | Profile → |
| 05 | Cursor (Anysphere) | Private | 2.80 | BLACK HOLE | Profile → |
| 06 | ChatGPT | Private | 2.15 | EVENT HORIZON | Profile → |
| 07 | Claude (Anthropic) | Private | 1.56 | EVENT HORIZON | Profile → |
| 08 | Perplexity | Private | 0.78 | TRANSITION | Profile → |
| 09 | Chat LLM (Generic) | - | 0.22 | USEFUL TOOL | Profile → |