A discovery · July 2026

Bitcoin’s price is the speed of an idea-epidemic, multiplied by the inequality of human wealth.

P(t)t 3(1 + 1/α)

t ³ — the idea spreads through minds like an epidemic 1 + 1/α — each wave taps deeper into the wealth pyramid (Pareto’s α ≈ 1.2)

Theory t5.5 · Observed over 16 years t5.6 ± 0.2

See the full formula → how we got there ↓

How we got there

A decade of measurement established the law. One number in it stayed unexplained — until now. Every document below is one click away.

The foundation

Giovanni Santostasi discovered and defended the power law; with Stephen Perrenod he formalised it.

Book

The Physics of Bitcoin

Santostasi’s account of the discovery: Bitcoin’s price, adoption and hash rate follow power laws in time, across five complete market cycles.

Paper · peer-reviewed

Santostasi & Perrenod (2026)

Establishes the law and splits its exponent, β = βA × βM — but leaves βM ≈ 1.84 as an open question. Published in Elsevier’s Nonlinear Science, June 2026.

Journal version → Free preprint →

the test library: every test with its figures and verdict
Tests & simulations · now public

The full evidence base — reproducible

Every empirical test and simulation behind the paper, published as run — including the wrong turns. Browse the library, or clone the repository and re-run the whole thing yourself.

Browse the test library → Code & data on GitHub →