Power Law Adoption
TL;DR
Bitcoin’s growth follows a power law relationship, suggesting its adoption behaves like a biological system or a network effect rather than a simple financial bubble.
What Is It?
A power law is a functional relationship between two quantities where a relative change in one results in a proportional relative change in the other ().
Bitcoin’s long-term price and adoption metrics (like address count or hashrate) have historically tracked power law curves when plotted on log-log scales.
Why Does It Matter?
- Predictability: While short-term prices are volatile, the long-term trend follows a mathematically predictable corridor.
- Natural Phenomenon: Power laws are found in city sizes, galaxy distributions, and internet topology. This suggests Bitcoin is a “natural” discovery of the digital age.
- Counter-Bubble Argument: Simple bubbles collapse and never return to their previous trend. Bitcoin has survived multiple 80%+ crashes while staying within its power law corridor.