#power law model

Physicist Giovanni Santostasi says Bitcoin’s long-term price trajectory is not best understood as an S-curve, speculative bubble, or simple exponential trend, but as a power law similar to patterns found in cities, biology and other natural systems. Speaking with Nathalie Brunell on the May 12 episode of the Coin Stories podcast, the director of the Scientific Bitcoin Institute argued that Bitcoin’s historical data points to roughly $1 million per coin in about eight years and $10 million in roughly 20 years. Santostasi explained his Bitcoin Power Law thesis in detail. His core claim is that Bitcoin’s price has followed a nonlinear mathematical relationship with time since the network’s early trading history. In his formulation, Bitcoin’s price is proportional to time raised to a power of roughly 5.8 to 5.9, often rounded to six. That exponent, he said, is not just a curve-fitting artifact but a “fingerprint” of the system. “With bitcoin we found a similar relationship where the price