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Update on our academic Bitcoin Power Law paper: we show BTC's long-run price follows a power law in time (P ∝ t^~5.7), which decomposes into network adoption growth × Metcalfe scaling.
New econometric tests confirm it's not a statistical artifact.
The paper has passed editorial revision and reviewers revision with suggested changes that make the paper even better.
In the final stages of revision — hoping for publication soon.
Will update when it's out.
Short thread (if you want the details):
1) Quick update on our peer-reviewed paper on the Bitcoin Power Law
We demonstrate that BTC's long-run price follows a power law in time — P ∝ t^~5.7, R² ≈ 0.96 over 2010–2026 — and that the exponent is not just curve-fitting.
2) The exponent isn't arbitrary. It decomposes into two independent scaling laws: network adoption growth (addresses ∝ t³) and generalized Metcalfe value scaling (price ∝ N^1.8). Their product reproduces the measured price exponent.
3) New in this revision — a full battery of econometric tests requested in review: • Residuals are stationary (ADF + KPSS) → not a spurious regression • Price & adoption are cointegrated (genuine long-run link) • The exponent is stable across all four halving epochs — no drift.
4) And the toughest test: fit the power law only on data through 2020, then predict 2021–2026 → 100% of days fall within the ±2σ band.W
We're now in the final stages of revision and hope to see it published soon. We'll update the moment it's out.