Bitcoin · power law · sources

The work this stands on

This site didn't invent the power law. It builds on the people who found it, formalised it, and chart it. Here are the primary sources, and a brief note on what each one contributed.

01 / THE THEORY

The Bitcoin Power Law Theory

Giovanni Santostasi, physicist (PhD)

Santostasi turned the power-law observation into a full theory. He argues Bitcoin's price tracks a power law of time (price ∝ t⁶ in his derivation, ≈t⁵·⁷ empirically), driven not by scarcity but by self-reinforcing network-effect feedback loops: adoption grows as a power of time, price follows users² (Metcalfe's law), and hash-rate follows price², each feeding the next. He frames these relationships as mechanistically necessary rather than mere curve-fitting, and treats the model as falsifiable over roughly the coming decade. This site's floor uses his parameterization. (We stress-test the maths on the Disprove the Math page.)

02 / THE CHART

Porkopolis Economics: "The Chart"

Matthew Mezinski, Porkopolis Economics

Mezinski maintains the widely-cited "Chart": Bitcoin's price plotted against a power-law regression of days since the genesis block, wrapped in percentile bands (≈67% and ≈95% of historical observations) rather than standard-deviation bands, a living, continuously-updated view of where price sits inside the corridor, with an R² above 0.95. A memorable framing from his work: price doubles roughly every 13% increase in Bitcoin's age. Porkopolis Economics more broadly covers monetary economics, money-supply metrics and Bitcoin through charts, writing and podcasts.

03 / THE CORRIDOR

Bitcoin's natural long-term power-law corridor of growth

Harold Christopher Burger, September 2019

One of the earliest rigorous public treatments. Burger fit power laws in log–log space and introduced the idea of a corridor bounded by two power laws (a support floor and a resistance ceiling) separating "normal" from "bull-market" behaviour (using RANSAC to handle outliers, R² ≈ 0.93). His long-range projections were strikingly prescient: $100k between 2021 and 2028, then never below it, and $1M between 2028 and 2037. The "corridor" framing that this site's chart uses traces directly back to this post.

Claude Code Prompt (the prompt that builds this page)
Build "References" — a sources/credits page listing the primary works behind the Bitcoin power
law, each with a brief summary of the author's contribution. Output one self-contained page.

── SHARED DESIGN SYSTEM ──
Dark editorial. Fraunces (display) / Hanken Grotesk (body) / JetBrains Mono (mono). Tokens:
--bg:#0f1115 --bg2:#1a1d24 --bg3:#14171d --border:#2a2e37 --border2:#23272f --text:#e6e8eb
--muted:#9aa0ab --dim:#6b7280 --accent:#f7931a --blue:#5b9bff --red:#ff6b6b --green:#4ade80.
Centered .wrap (~780px), faint radial-gradient bg, sticky nav (hamburger on mobile, hide on
scroll-down). Header = mono orange kicker (with leading rule) + Fraunces h1 with one italic-orange
<em> + muted lede. Not investment advice; external links open in a new tab (rel=noopener).

── STRUCTURE ──
Header: kicker "Bitcoin · power law · sources"; h1 "The work this <em>stands on</em>"; lede: the
site didn't invent the power law — it builds on the people who found it, formalised it and chart
it; here are the primary sources and what each contributed.

Then three reference cards (.ref: bg --bg2, orange left border, rounded right). Each card has a
mono orange index/label, a Fraunces linked title, an author line, a row of small pill links
(primary URL + X handle where given), and a 3–5 sentence summary:

 01 / THE THEORY — "The Bitcoin Power Law Theory" — Giovanni Santostasi (physicist, PhD).
   Links: medium.com/.../the-bitcoin-power-law-theory-962dfaf99ee9 ; X @Giovann35084111.
   Summary: turned the power-law observation into a full THEORY — price ∝ t⁶ (≈t⁵·⁷ empirically),
   driven by self-reinforcing network-effect feedback loops (adoption power-law → price ∝ users²
   via Metcalfe → hash-rate ∝ price²), explicitly NOT scarcity; framed as mechanistically
   necessary and falsifiable over ~a decade. This site's floor uses his parameterization; link
   the "Disprove the Math" page.

 02 / THE CHART — "Porkopolis Economics — The Chart" — Matthew Mezinski.
   Links: porkopolis.io/thechart ; X @1basemoney.
   Summary: maintains the widely-cited "Chart" — price vs a power-law regression of days since
   genesis, wrapped in PERCENTILE bands (~67% and ~95% of observations) rather than std-dev bands;
   continuously updated, R² > 0.95; memorable framing "price doubles roughly every 13% increase in
   Bitcoin's age." Porkopolis covers monetary economics, money-supply metrics and Bitcoin via
   charts, writing and podcasts.

 03 / THE CORRIDOR — "Bitcoin's natural long-term power-law corridor of growth" — Harold
   Christopher Burger (September 2019).
   Link: hcburger.com/blog/powerlaw.
   Summary: one of the earliest rigorous public treatments; log–log power-law fits introducing a
   CORRIDOR bounded by two power laws (support floor + resistance ceiling), separating "normal"
   vs "bull" modes (RANSAC for outliers, R² ≈ 0.93); strikingly prescient projections ($100k
   between 2021–2028 then never below; $1M between 2028–2037). The site's "corridor" framing
   traces to this post.

Footer: a note that external links are unaffiliated, crediting the model to Santostasi, the
corridor to Burger, and the live percentile-band chart to Mezinski; plus the site credit line.

── SEO ──
title "References & Sources — The Bitcoin Power Law"; meta description naming the three authors;
canonical; OG(article)+Twitter; 🟠 favicon; JSON-LD CollectionPage.