PLATFORM PROFILEPrivate
ChatGPT
1.96
B-index (V3.1)
EVENT HORIZON
Capture1.195
Escape0.609
Key Structural Insight
Highest user preference, moderate structural lock-in. Popular is not inescapable.
Eleven-Parameter Profile
Data Depth7/10
Memory7/10
Action7/10
Process6/10
Network9/10
Closeness7/10
Portability6/10
Substitutability7/10
Human Fallback7/10
Org Depth4/10
Momentum7/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.6743 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.7000 | √(d · m) |
| Operability synergy σₒ | 0.6481 | √(a · p) |
| Synergy boost | 1.2022 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.2000 | 1 + 0.5·o |
| Momentum multiplier | 1.2100 | 1 + 0.3·t |
| Total Capture | 1.1947 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.6658 | CES(x, s, h) |
| Feedback attenuation | 0.7640 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.6087 | ε + escCore · feedback |
| B = Capture / Escape | 1.96 | 1.195 / 0.609 |
Scoring Rationale
Best persistent memory. Apps ecosystem (Adobe, Canva, Uber). Enterprise Connectors with write actions. Agent Mode. But no organizational embedding — individual tool, not infrastructure.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE7+0.56
PROC6+0.22
DATA7+0.20
MEM7+0.20
ACT7+0.20
PORT6-0.17
ORG4+0.16
SUB7-0.16
FALL7-0.16
NET9+0.14
MOM7+0.10
+ 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 | Grok (xAI) | Private | 1.56 | 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 → |