PLATFORM PROFILEPrivate
Grok (xAI)
1.56
B-index (V3.1)
EVENT HORIZON
Capture1.016
Escape0.651
Key Structural Insight
High closeness without process centrality. Habit without dependency.
Eleven-Parameter Profile
Data Depth7/10
Memory4/10
Action5/10
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 | 0.4930 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.5292 | √(d · m) |
| Operability synergy σₒ | 0.4472 | √(a · p) |
| Synergy boost | 1.1465 | 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 | 1.0156 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.6658 | CES(x, s, h) |
| Feedback attenuation | 0.8274 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.6509 | ε + escCore · feedback |
| B = Capture / Escape | 1.56 | 1.016 / 0.651 |
Scoring Rationale
Embedded in X/Twitter feed — highest closeness through ambient presence. Real-time X data firehose. But not in work processes. No persistent memory. No organizational depth.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE9+0.35
MEM4+0.23
PROC4+0.23
ACT5+0.20
DATA7+0.17
PORT6-0.14
ORG3+0.14
SUB7-0.13
FALL7-0.13
NET8+0.11
MOM8+0.08
+ 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 | 4.73 | BLACK HOLE | Profile → |
| 03 | Apple Intelligence | AAPL | 4.43 | BLACK HOLE | Profile → |
| 04 | Cursor (Anysphere) | Private | 2.80 | BLACK HOLE | Profile → |
| 05 | Google Gemini | GOOG | 2.80 | BLACK HOLE | Profile → |
| 06 | ChatGPT | Private | 1.96 | EVENT HORIZON | Profile → |
| 07 | Claude (Anthropic) | Private | 1.49 | TRANSITION | Profile → |
| 08 | Perplexity | Private | 0.78 | GROWING GRAVITY | Profile → |
| 09 | Chat LLM (Generic) | - | 0.22 | USEFUL TOOL | Profile → |