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Bitcoin Power Law (Live Chart)

On a log-log scale, Bitcoin's whole history lines up as a near-straight climb. This is that line, with a fair-value trend and the corridor price has lived inside.

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Price and the power-law fair-value line on a log-log scale (both axes stretched), with the historical support and resistance corridor shaded between them.

PricePower-law fair valueSupportResistance

Drag across the chart to zoom into any span. Reset zoom to go back.

The power law is descriptive, not a promise. It is fitted to past price and bends a little as new data arrives, and Bitcoin has spent long stretches pressed against the support or the resistance edge. For the cycle-timing model built on top of this line, see the Satoshi Clock.

If you take Bitcoin's entire price history and stretch both the time axis and the price axis by the same logarithmic amount, something surprising happens. Fifteen years of violent boom and bust flatten into a near-straight line climbing from the bottom-left to the top-right. That line is the power law. It says Bitcoin's price has grown at a steady mathematical rate against its own age, not against the calendar.

The orange line is the fair-value trend. The green and red lines are the support and resistance edges the price has bounced between for its whole life. When price sinks toward the green support it has been historically cheap, and when it stretches toward the red resistance it has been historically hot. Most of the time it lives somewhere in the middle of the corridor.

The power law is a description of the past, not a guarantee about the future. The line is fitted to history, so it will always look tidy in hindsight, and it shifts a little as new data lands. We treat it as a long-run backbone rather than a precise buy or sell trigger. The deeper cycle-timing work sits on top of this same line on the Satoshi Clock page.

The charts are public. The read is the edge.

These indicators are free for everyone. Inside the community you get the daily desk note that ties them together, alerts when price enters a cycle window, and the Satoshi Clock running on your own charts.

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