Power Law Corridor
Long-term price model based on the observation that Bitcoin's price follows a power law relative to time since genesis. The corridor's upper and lower bounds define historical support and resistance ranges.
What is it?
The Power Law Corridor, formalised by Santostasi & Perrenod (2026, DOI: 10.5281/zenodo.19387099), models Bitcoin's price as a power law of time: P(t) = 10^(-16.509 + 5.690 × log₁₀(t)), with R² = 0.961 across 5,696 observations. The exponent 5.69 decomposes mechanistically: cubic network adoption (t³·⁰⁵) × generalised Metcalfe scaling (N¹·⁸⁴). This is not merely an empirical fit - it is derived from first principles of network science.
How to read
In log-log scale, price should remain within the corridor. The lower band represents long-term support ('power law floor'), the upper band the speculative ceiling. Price's relative position within the corridor measures the current cycle stage.
Key zones
The power law floor has historically served as absolute support - price has never broken it in a sustained manner. Price oscillates between the floor (bear markets) and the upper band (bubble tops). The median line represents 'trend fair value' according to this model.
What to observe
The reduction in oscillation amplitude around the central trend suggests progressive corridor narrowing. Watch whether price still reaches the upper band each cycle - a top well below the upper band would mark accelerated maturation.
Historical context
The power law model's lower band proved close to the observed floor during the 2022 bear market (~$15-17K), but this remains a retrospective fit and does not constitute predictive validation. The model also implies declining long-term growth (exponent n < 1), suggesting lower future returns than past cycles.
Expert notes
Santostasi & Perrenod (2026) address the spurious regression critique: a multi-asset test shows BTC is the ONLY asset following scale-invariant power law growth (binned R² = 0.995). Gold (R² = 0.604), NASDAQ (0.434), and S&P 500 (0.411) all show curvature. Bayesian analysis confirms β converges to 5.69 with no structural break. Falsifiability conditions defined: sustained price below ~$10K (3σ), βA < 3, or Metcalfe R² < 0.7.
Common mistakes to avoid
The power law floor is NOT a guarantee that price will never go below. It is a statistical fit, not a physical wall. A 'Black Swan' event (major ban, systemic hack) could break the corridor. Moreover, extrapolating prices 10-20 years out with this model carries enormous uncertainty.
Programmatic access
REST API
curl -sS \
'https://api.trinityinsights.io/api/v1/onchain/power-law-corridor/history?days=90' \
-H 'X-API-Key: $TRINITY_API_KEY'MCP server
{
"tool": "get_chart_value",
"metric_id": "power-law-corridor",
"timeframe": "1y"
}Required tier: pro. See the pricing grid for the tier list and the MCP documentation for multi-client configuration.
Related metrics
Institutional disclaimer
Trinity Insights is an educational and analytical tool. The metric above does not constitute investment advice. Trinity Insights is not a Crypto-Asset Service Provider (CASP) registered under MiCA Regulation (EU) 2023/1114. See the full disclaimer.