97% Of Bitcoin’s Price Is Explained By The Power Law | Santostasi & Perrenod

— Bitcoin price follows a power law relationship with time, displaying a straight line on a log-log chart with an R² of 0.97, meaning only 3% of historical price data falls outside the trend.

— Two underlying power laws drive the price-to-time relationship: adoption (addresses) grows as the cube of time (~3.05), and value grows with the square of users (~1.84–1.92), mirroring Metcalfe's law for networks.

— The cube-of-time adoption pattern is universal across natural phenomena including the internet, viruses, and even a 200-year catalog of movie reviews, suggesting a common underlying mechanism in contact networks.

— Bitcoin's exponent of approximately 2 for the price-to-addresses relationship is the signature of a true peer-to-peer network, distinguishing it empirically from centralized or hybrid network topologies.

— The Scientific Bitcoin Institute is launching an open observatory dashboard with 75 reproducible power law indicators and plans to host an annual scientific conference on Bitcoin research starting next year.

— Dr. Giovanni Santostasi has authored *The Physics of Bitcoin*, a peer-reviewed paper was published in the El Salvador Journal of Non-Linear Science in October, and the institute welcomes student and researcher participation through membership and fellowship positions.

— Use the power law framework to contextualize Bitcoin's short-term volatility within its long-term trajectory; a 50% correction is noise relative to Bitcoin's ~100-million-fold increase from early transactions to today's price.

— Monitor the Scientific Bitcoin Institute's upcoming observatory dashboard (launching within a month) for reproducible power law indicators and free charts to track adoption and price dynamics without relying on opaque third-party analysis.