by Coinstrooper Crypto Articles
Quick Take
  • Could a mathematical function that has stayed relevant for over 130 years predict Bitcoin’s long-term price?
  • The Bitcoin Power Law is a mathematical theory that says Bitcoin’s price follows a predictable long-term growth pattern based on how old Bitcoin is.
  • Bitcoin keeps growing, but its growth slows as it gets older.
  • As it gets older, it continues growing, but its percentage growth slows.

What Happened

The idea is surprisingly simple. Bitcoin keeps growing, but its growth slows as it gets older.

How Does the Power Law Work in Bitcoin’s Context?

The Power Law is a mathematical relationship that scientists have studied for centuries, with early examples appearing in the work of astronomer Johannes Kepler in the 1600s.It describes how one quantity changes in proportion to another raised to a fixed power, often appearing in nature, physics, and economics.Physicist Giovanni Santostasi saw this mathematical pattern play out in Bitcoin from the early days.

Market Context

Could a mathematical function that has stayed relevant for over 130 years predict Bitcoin’s long-term price?

The Bitcoin Power Law is a mathematical theory that says Bitcoin’s price follows a predictable long-term growth pattern based on how old Bitcoin is.

According to Giovanni Santostasi’s model, every time Bitcoin’s age doubles, its long-term trend price increases roughly 50 times.

For example, imagine the trend price of a hypothetical asset following this law:

Bitcoin has experienced enormous crashes and rallies, yet its long-term price history has stayed remarkably close to one mathematical curve.

It’s mathematically simple. It uses Bitcoin’s age to estimate its long-term price trajectory.

It has a possible economic explanation. As more people adopt Bitcoin, the network becomes more valuable. Santostasi argues this network growth explains the price curve.

The theory became particularly significant in 2026 when Santostasi and Stephen Perrenod published a peer-reviewed study supporting the relationship between network adoption and Bitcoin’s price.

So far, yes, at describing Bitcoin’s long-term price trend. Its ability to predict future prices is less certain.

The 2026 study examined 5,696 daily Bitcoin prices from July 2010 to February 2026. The model explained approximately 96% of the variation in Bitcoin’s historical logarithmic price.

This does not mean its price forecasts were 96% accurate.

Why It Matters

The Bitcoin Power Law suggests Bitcoin behaves similarly.

There is also some evidence of predictive usefulness. Independent researchers from Portuguese universities found that the simple Power Law performed better than the alternatives they tested for forecasts 12–24 months ahead.

Details

Imagine a tree. When a tree is young, it grows very quickly. As it gets older, it continues growing, but its percentage growth slows.

Notice the same 50-fold increase takes 10 years initially, then 20 years.

That’s why the model predicts Bitcoin will continue rising while delivering progressively smaller annual returns.

How Accurate is the Bitcoin Power Law?

There are three reasons people find it compelling.

It makes striking predictions. The current model puts Bitcoin at approximately $1 million in 2033.

Is the Power Law Historically Accurate?

However, they questioned whether the mathematical relationship is truly stable and fundamental.