Physicist Giovanni Santostasi says Bitcoin’s long-term price trajectory follows a power law, similar to patterns found in cities and biology. Speaking on the Coin Stories podcast, the director of the Scientific Bitcoin Institute projected roughly $1 million per coin in about eight years and $10 million in roughly 20 years.
Santostasi explained that Bitcoin’s price is proportional to time raised to a power of roughly 5.8 to 5.9. He called that exponent a “fingerprint” of the system, not just a curve-fitting artifact.

He argued that Bitcoin behaves more like a city than a corporate asset. Cities grow through bottom-up interaction and endure for millennia, while most corporations die within 150 years. He suggested Michael Saylor could adopt this language, saying Strategy is turning corporations into cities.
Santostasi noted Bitcoin’s address growth follows a power law with time cubed, while price reacts to address growth roughly via a square relationship, similar to Metcalfe’s Law. Combining these produces the observed price relationship of time to the sixth power.

He put the probability of reaching these targets near 90%, but said continued capital inflows and larger institutional participation are necessary. At press time, BTC traded at $80,963.
