BHI 3.1·Bulletin
Validation: preliminary
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Highest B
§ 08 · INVESTMENT SIGNAL · EMPIRICAL

Investment Signal

Does structural lock-in predict equity performance? We test whether BHI scores correlate with stock returns, operating margins, and revenue growth across 141 publicly-traded platforms.

Methodology note: All figures are computed from real market data (Yahoo Finance, SEC filings). This is an observational cross-section, not investment advice. See the paper §7 for limitations.
Measured 5 July 2026; not recomputed since. The signal was computed on 5 July 2026 over a 141-platform public universe, with fundamentals pulled the same day (5 July 2026) on a trailing-twelve-month basis. The BHI release named in the strip at the top of this page is later than this measurement: that label is the index release, not the date of these market figures. Note also that Q1 to Q4 on this page are quartiles of the BHI score, not calendar quarters.
Q4 − Q1 spread
+3.4%
trailing 12 months · 141 platforms
Information ratio
-0.17
Q4 vs universe · 6.8% TE
B vs op. margin · ρ
0.293
strongest cross-sectional signal · n = 116
Sharpe (Q4)
-1.31
annualised · Rf = 5%
Max drawdown Q4
-12.8%
vs -16.8% Q1 · vs -15.1% universe
Long-short Sharpe
0.42
Q4 − Q1 portfolio
Capacity (est.)
≈ $686B
Q4 total cap · 1% position
Q4 − Q1 op margin
+19.8 pp
32.3% vs 12.5%
SIGNAL EVOLUTION · Q2 2026 → Q3 2026

How the investment signal moved across the quarter on a stable 141-platform public universe. The Q4−Q1 return spread narrowed to +3.4pp (from +17.6pp) as a broad market drawdown compressed trailing-12-month returns across the board. The operating-margin premium held: top-quartile-B platforms still out-earn the bottom quartile by +19.8pp — the more durable structural signal when price returns turn negative.

MetricQ2 2026Q3 2026Δ
Universe (public)141141+0
Q4 − Q1 spread+17.6%+3.4%-14.2pp
Spearman ρ (B vs return)0.1370.063-0.074
B vs op-margin ρ0.2930.293-0.000
BHI platforms total184184
Score changes1034+24

Note: the return spread compressed this quarter because trailing-12-month equity returns turned negative market-wide (top-quartile-B annualized -10.6%, universe -9.4%) — a market-beta effect, not a breakdown of the lock-in thesis. The B-vs-operating-margin correlation (ρ = 0.293) remains the strongest cross-sectional signal: structural lock-in shows up in fundamentals even when price returns are risk-off.

Useful ToolGrowing GravityTransitionEvent HorizonBlack Hole
Figure 2.1 · Returns

B-Index vs 1-year stock return

Positive slope but heavy noise. The fit is dominated by a small number of high-B, high-return franchises.

-50%0%+50%+100%+150%+200%+250%051015B-INDEX (V3.1)1-YEAR RETURN (%)TSMCASMLPalantirρ = 0.063 · n = 141OLS · DASHED
SPEARMAN ρ · 0.063n = 141WINDOW · JUL 2025 → JUL 2026
STRONGEST SIGNAL
Figure 2.2 · Margins

B-Index vs operating margin

Platforms in the upper BHI zones earn structurally higher operating margins — the financial expression of structural lock-in.

-40%-20%0%+20%+40%+60%051015B-INDEX (V3.1)OPERATING MARGIN (%)ρ = 0.293 · n = 116STRONGEST SIGNAL
SPEARMAN ρ · 0.293n = 116STRONGEST CROSS-SECTIONAL SIGNAL
Figure 3.1 · Decomposition

Parameter attribution to the Q4 − Q1 spread

Each bar is the parameter's Q4−Q1 delta. Coloured dots indicate the parameter family.

-4-2+2+4← ESCAPECAPTURE →Portability-4.1Human Fallback-4.0Process Integration+3.8Org Depth+3.7Substitutability-3.2Memory+3.0Data Depth+2.8Action+2.7Closeness+2.3Network+1.3Momentum+0.8
CAPTUREESCAPEEXTENDED
Figure 4.1 · Equity curve

Cumulative return, indexed to 1.00

Six months, equal-weighted, no transaction costs. Q4 is top BHI quartile, Q1 is bottom.

0.900.920.940.960.981.001.02OCT 25NOVDECJAN 26FEBMARAPRQ4 · 0.947Q1 · 0.921+2.6 PPCUMULATIVE RETURN (×)
Q4 · TOP BHIQ1 · BOTTOMUNIVERSE · EW
Download CSVDownload JSONMethodology
§ 05 · Holdings

Top quartile · current basket

#PlatformZoneB-Index1Y Return
01TSMCBlack Hole12.28+89.5%
02FAA NextGenBlack Hole12.20-0.1%
03National Grid UKBlack Hole11.27+20.1%
04PalantirBlack Hole9.90-7.1%
05ASMLBlack Hole9.62+125.4%
06Reliance JioBlack Hole9.18-15.4%
07VisaBlack Hole8.82+1.5%
08China MobileBlack Hole8.64-10.8%
09AmazonBlack Hole8.40+8.6%
10KakaoBlack Hole8.32-40.9%
11NVIDIA (CUDA)Black Hole8.29+23.1%
12MastercardBlack Hole8.14-4.5%
13Amazon MarketplaceBlack Hole7.77+8.6%
14ICEBlack Hole7.40-27.4%
INSTITUTIONAL ACCESS

Integrate BHI into your research workflow

Public API (REST/JSON) for programmatic access to all scores, decompositions, and quarterly updates. Scores are CC BY 4.0 — free commercial use with attribution; the institutional tier adds early access, priority support and license certainty.

$ curl blackholeindex.com/api/bhi
{ "instrument":"Black Hole Index", "count":100, "platforms":[...] }

Caveats

  1. Cross-section, not time series. Single BHI release. Causal inference requires longitudinal data.
  2. Confounds. High-BHI firms are disproportionately large-cap and tech-sector.
  3. Return correlation is weak. ρ = 0.18 is statistically weak. Margin correlation (ρ = 0.32) is stronger.
  4. Single scorer. Inter-rater reliability validation pending.
  5. Not investment advice. BHI is a structural-fact instrument.
DATA SOURCES

Stock returns: Yahoo Finance API, TTM through July 5, 2026. Fundamentals: SEC filings (10-K, 10-Q). BHI scores: V3.1 model, 141 platforms. All data CC-BY 4.0 at github.com/Joingithubstyle/blackholeindex.