BHI 3.1·Bulletin
Validation: preliminary
Today's bulletin →
Highest B
PLATFORM PROFILEAAPL

Apple Intelligence

$3.4T (Apple)2B+ Apple devices — unverified context figure, not used in any scoreAI PlatformsApple ecosystem →
4.43
B-index (V3.1)
BLACK HOLE
Capture1.496
Escape0.337
Key Structural Insight

Eleven-Parameter Profile

5DATAMEMACTPROCNETCLOSEPORTSUBFALLORGMOM
Data Depth9/10
Memory6/10
Action5/10
Process7/10
Network9/10
Closeness8/10
Portability2/10
Substitutability2/10
Human Fallback6/10
Org Depth6/10
Momentum8/10
Capture Escape Extended

V3.1 Decomposition

ComponentValueFormula
CES₄ capture core0.6671CES(d, m, a, p)
Knowledge synergy σₖ0.7348√(d · m)
Operability synergy σₒ0.5916√(a · p)
Synergy boost1.19901 + 0.3·(σₖ + σₒ)/2
Org-depth multiplier1.30001 + 0.5·o
Momentum multiplier1.24001 + 0.3·t
Total Capture1.4956c·(1+0.5n)·core·syn·org·mom
CES₃ escape core0.3095CES(x, s, h)
Feedback attenuation0.7665max(0.3, 1 − 0.35·core)
Total Escape0.3372ε + escCore · feedback
B = Capture / Escape4.431.496 / 0.337

Scoring Rationale

No per-parameter rationale is recorded for this platform. One of the 184 platforms in the Q3-2026 release carries a written rationale; the rest, including this one, do not. The heading is kept rather than hidden so the absence is visible. What is and is not evidenced →

Parameter Sensitivity

MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE8
+1.11
PORT2
-0.88
SUB2
-0.88
ACT5
+0.53
MEM6
+0.49
FALL6
-0.49
PROC7
+0.44
DATA9
+0.39
ORG6
+0.34
NET9
+0.31
MOM8
+0.21
+ raises B (deepens lock-in) lowers B (aids escape)

Comparable PlatformsAI Platforms (9 peers)

#PlatformTickerB-indexZone
01AI-OS (Theoretical)-7.67BLACK HOLEProfile →
02Microsoft Copilot (M365)MSFT5.23BLACK HOLEProfile →
03Google GeminiGOOG3.22BLACK HOLEProfile →
04Cursor (Anysphere)Private2.92BLACK HOLEProfile →
05ChatGPTPrivate2.25EVENT HORIZONProfile →
06Grok (xAI)Private1.78EVENT HORIZONProfile →
07Claude (Anthropic)Private1.66EVENT HORIZONProfile →
08PerplexityPrivate0.95TRANSITIONProfile →
09Chat LLM (Generic)-0.22USEFUL TOOLProfile →