PLATFORM PROFILE
Chat LLM (Generic)
0.22
B-index (V3.1)
USEFUL TOOL
Capture0.181
Escape0.825
Key Structural Insight
B=0.22. The definition of a tool with no gravitational pull. The control case for the entire model.
Eleven-Parameter Profile
Data Depth3/10
Memory2/10
Action2/10
Process4/10
Network6/10
Closeness4/10
Portability8/10
Substitutability8/10
Human Fallback8/10
Org Depth2/10
Momentum3/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.2690 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.2449 | √(d · m) |
| Operability synergy σₒ | 0.2828 | √(a · p) |
| Synergy boost | 1.0792 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.1000 | 1 + 0.5·o |
| Momentum multiplier | 1.0900 | 1 + 0.3·t |
| Total Capture | 0.1810 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.8000 | CES(x, s, h) |
| Feedback attenuation | 0.9059 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.8247 | ε + escCore · feedback |
| B = Capture / Escape | 0.22 | 0.181 / 0.825 |
Scoring Rationale
Baseline. Chatbot with no memory, no integrations, no organizational embedding. Fully substitutable. Zero switching cost.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE4+0.11
ACT2+0.06
MEM2+0.06
DATA3+0.05
PROC4+0.04
ORG2+0.02
NET6+0.02
PORT8-0.02
SUB8-0.02
FALL8-0.02
MOM3+0.01
+ 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 | Grok (xAI) | Private | 1.56 | EVENT HORIZON | Profile → |
| 08 | Claude (Anthropic) | Private | 1.49 | TRANSITION | Profile → |
| 09 | Perplexity | Private | 0.78 | GROWING GRAVITY | Profile → |