BHI 3.1·Q3 2026 Bulletin
Published Jul 5 2026·Spearman ρ = 0.79·Validation: preliminary
Today's bulletin →
Movers · Q3 2026 · Jul 5 2026
PLATFORM PROFILEAAPL

Apple App Store

(Apple)1.8M appsGaming & EntertainmentApple ecosystem
5.26
B-index (V3.1)
BLACK HOLE
Capture1.782
Escape0.339
Key Structural Insight

Eleven-Parameter Profile

5DATAMEMACTPROCNETCLOSEPORTSUBFALLORGMOM
Data Depth8/10
Memory8/10
Action7/10
Process9/10
Network9/10
Closeness8/10
Portability4/10
Substitutability3/10
Human Fallback3/10
Org Depth7/10
Momentum5/10
Capture Escape Extended

V3.1 Decomposition

ComponentValueFormula
CES₄ capture core0.7984CES(d, m, a, p)
Knowledge synergy σₖ0.8000√(d · m)
Operability synergy σₒ0.7937√(a · p)
Synergy boost1.23911 + 0.3·(σₖ + σₒ)/2
Org-depth multiplier1.35001 + 0.5·o
Momentum multiplier1.15001 + 0.3·t
Total Capture1.7816c·(1+0.5n)·core·syn·org·mom
CES₃ escape core0.3317CES(x, s, h)
Feedback attenuation0.7205max(0.3, 1 − 0.35·core)
Total Escape0.3390ε + escCore · feedback
B = Capture / Escape5.261.782 / 0.339

Scoring Rationale

Parameter Sensitivity

MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE8
+1.31
FALL3
-0.80
SUB3
-0.80
PORT4
-0.69
ACT7
+0.52
DATA8
+0.48
MEM8
+0.48
PROC9
+0.45
ORG7
+0.39
NET9
+0.36
MOM5
+0.27
+ raises B (deepens lock-in) lowers B (aids escape)

Comparable PlatformsGaming & Entertainment (10 peers)

#PlatformTickerB-indexZone
01SteamPrivate (Valve)5.32BLACK HOLEProfile →
02RobloxRBLX4.79BLACK HOLEProfile →
03Google PlayGOOG3.94BLACK HOLEProfile →
04PlayStation NetworkSONY3.64BLACK HOLEProfile →
05Epic GamesPrivate3.51BLACK HOLEProfile →
06Unity TechnologiesU2.89BLACK HOLEProfile →
07Xbox/Game PassMSFT sub2.34EVENT HORIZONProfile →
08SpotifySPOT2.31EVENT HORIZONProfile →
09NetflixNFLX1.00TRANSITIONProfile →
10Disney+DIS0.71TRANSITIONProfile →