About
The story, the instrument, and the team behind it
The Black Hole Index was created in 2026 by Ivan Savich in Kyiv, Ukraine.
It began as a question: why do users stay with AI systems they dislike? Microsoft Copilot has NPS = -19.8. Only 8% choose it when alternatives are available. Yet 450 million Microsoft 365 seats make departure structurally prohibitive. The market calls this failure. We call it a gravitational well.
The answer required combining 70 years of economics and physics: CES production functions from Solow (1956), switching cost theory from Farrell and Klemperer (2007), network effects from Katz and Shapiro (1985), increasing returns from Arthur (1989), automation complacency from Parasuraman and Manzey (2010), and behavioral inertia from Pecher et al. (2024). Each element was known. The combination — a single dimensionless ratio that separates tools from traps — was not.
The model was built iteratively through human-AI collaboration, with every formula verified against reference values and every constant traced to academic literature. The result is an open instrument: open formula, open methodology, open code.
- A structural lock-in measurement instrument
- A dimensionless ratio like Reynolds number or Sharpe ratio
- A framework applicable to AI, finance, crypto, SaaS, and any platform ecosystem
- Open source and open methodology
- A product quality score
- A user satisfaction metric
- A financial recommendation
- A prediction of specific price movements
- Academic collaboration and peer review
- Regulatory advisory on platform lock-in measurement
- Speaking and conference presentations
- Enterprise BHI assessment consulting