AI Summary
5 min readBitcoin’s price follows a power curve, not an exponential one, and that distinction matters more than most people realize. Matthew Mežinskis returns to TFTC for a quarterly update to defend this framework against a growing chorus of skeptics who claim the “power law is broken.” His argument is grounded in data that has held steady for nearly a decade: Bitcoin’s growth is slowing in proportional terms, which is exactly what a healthy, scalable network should do. The episode walks through the mechanics of the power curve, why it outperforms every other model, and what it implies about Bitcoin’s future—both as an asset and as the foundation for a new kind of financial system.
The power curve is not broken—it’s more stable than ever
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What you'll learn
- 1 (01:04) **Power Law Under Attack** - Mežinskis responds to Twitter claims that Bitcoin’s power law is “broken,” promising to show the trend is intact
- 2 (03:12) **The Power Curve Explained** - Mežinskis walks through the log-log chart and why Bitcoin’s growth follows a power regression, not an exponential one
- 3 (08:10) **Current Position: Dangerously Cheap** - The present price sits near the lowest possible percentile of the power-law probability distribution
- 4 (10:04) **Steel-Manning the Skeptics** - Marty raises the classic objection: “You’re just changing the chart to fit your narrative”
- 5 (14:06) **Exponential vs. Power: The Numbers Don’t Lie** - Side-by-side comparison of growth models reveals why the power law is more conservative and stable
- 6 (16:51) **Plan B’s Stock-to-Flow vs. Power Law** - Mežinskis runs through older models to show how wildly they miss compared to the power curve
- 7 (22:58) **Could Bitcoin Ever Go Exponential?** - Mežinskis acknowledges it’s possible if the financial system co-opts Bitcoin, but that would mean more volatility
+ Full timestamped outline available in the app
Guests on this episode
Show Notes
Bitcoin analyst Matthew Mezinskis joins the show to defend the power law model against recent criticism, arguing the curve remains intact and Bitcoin is trading near historical lows relative to its trend. He breaks down why exponential models fail to capture Bitcoin’s network growth, compares the power curve to stock-to-flow and Plan B projections, and examines global monetary base expansion, Fed balance sheet trends, and the intersection of Bitcoin’s scalable growth with TradFi’s volatile exponential debt. The discussion covers log periodic cycle analysis, generational buying levels, and what happens when Bitcoin’s power trend collides with fiat’s unsustainable compounding.
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