Why a power law is not a prophecy
Signal21 Editorial Desk
The seduction of a single number
Extend the power-law curve and it hands you specific figures: popular versions put Bitcoin near $491,000 by 2030 and around $4.7 million by 2040. Numbers that precise are magnetic, which is precisely the problem. The peer-reviewed authors who derived the model deliberately publish no such targets; the headline projections come from popularizers extending the line, not from the paper. That gap between a fitted trend and a promised price is the whole subject of this piece.
Three reasons for caution
First, log-log scales are flattering. When both price and time are compressed logarithmically, almost any long, rising series looks like a tidy straight line, and a high R² measured that way is far less impressive than it sounds. Second, the adoption mechanism counts addresses holding at least one satoshi, but an address is not a person: one user can hold thousands, and exchanges custody millions of users behind a handful. If addresses and real users drift apart, the model's first engine slips. Third, and most simply, fifteen years of a rising asset can make ordinary growth look like a law of nature; extrapolating it forward assumes the future is obligated to rhyme with the past.
How you would know it is breaking
What separates this model from a decorative rainbow chart is that it is falsifiable. The paper sets out explicit, testable break conditions (including a long-run price floor whose violation would count as failure) so there is a defined point at which one must admit the relationship has broken rather than redrawing the line. That is the right spirit, and it is the spirit Signal21 tries to hold: the power law is useful context for a long-term Strong Bullish view, and simultaneously not a guarantee, not a timing signal, and not a target we would ever ask a reader to trade on. A model that tells you how it could be wrong is worth more than one that only tells you how rich you will be. This is market analysis, not a recommendation to buy or sell.