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Bitcoin Power Law

Viewing Bitcoin's price through the lens of mathematical consistency. Power law models suggest Bitcoin follows predictable long-term growth patterns driven by network adoption.

Current Price
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Model Trend Value
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Santostasi model
Price / Trend
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Days Since Genesis
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Since Jan 3, 2009

What does this mean?

The power law views Bitcoin's price as a function of adoption growth over time, similar to network effects described by Metcalfe's Law. A multiplier below 1.0 suggests the current price is below the long-term trend; above 1.0 suggests it's above trend. Historically, price has oscillated around this trend line, always reverting toward it.

Current Position on Power Law Curve

Model R-squared
~95.6%
Historical fit quality
Log Volatility (1σ)
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Standard deviation of log residuals
Data Points
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Daily closes since July 2010

Historical Highlights: Key Deviation Events

Look at past cycles to understand how price has historically reverted toward the power-law trend. Useful for decisions such as borrowing in deep undervaluation or taking profits in extreme overvaluation.

Date Event Price Trend Deviation Outcome