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The Math Behind $1 Million Bitcoin

10/15/2026 · 15 min · transcript via mlx

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Key topics

— Nick Batia explains Bitcoin's power law as a mathematical relationship between time and price, with a single exponent (discovered by Dr. Giovanni Santostasi) that determines how Bitcoin's price scales over time.

— Bitcoin took roughly four years to grow from $1,000 to $10,000, eight years to reach $100,000, and the power law suggests it could take eight to sixteen years to reach $1 million, placing that milestone in the early 2030s.

— The power law is observed throughout nature and civilization—such as how city education levels scale with population growth or how elephants' caloric needs scale with body mass—suggesting Bitcoin's network growth follows similar universal scaling principles.

— Bitcoin trading materially below its power law bottom band (as it did in 2022–2023 and again in 2026) has historically marked excellent accumulation opportunities; the current price level represents such an opportunity.

— Bitcoin's power law is driven by network adoption: as more people join the monetary network, Bitcoin's price compounds; the exponent itself is a product of address growth (adoption) scaling with time, then price scaling with addresses.

— The power law suggests Bitcoin will maintain a 30–40% compound annual growth rate over the next several years, supporting the path to seven figures within a decade.

Market & price signals

— Bitcoin surpassed $100,000 for the first time in 2025 and is currently trading below its power law bottom band (green dotted line), a condition that began around February 2026.

— Historical precedent: Bitcoin traded below its power law bottom band from September 2022 until October 2023 (over one year) during the pandemic crash from $9,000 to $3,000—both periods proved to be excellent buying opportunities.

— Power law projects Bitcoin at $1 million in 2031–2033 based on accumulated time; Batia calculates this in his spreadsheet model.

— Bitcoin has shown a 40%+ compound annual growth rate historically and is expected to sustain 30–40% CAGR over the next several years.

Actionable insights

— When Bitcoin trades materially below its power law bottom band, history suggests it represents a strong accumulation opportunity; current 2026 pricing mirrors the 2022 pandemic crash setup.

— Understand Bitcoin's network value: power law analysis reveals that price growth is driven by adoption (address count scaling) over time, not speculation—focus on network utility rather than short-term price movements.

— Monitor Bitcoin's position relative to its power law quantile chart (available on TBL Pulse at thebitcoinlayer.com); recovery above the green dotted line would signal a multi-year recovery period ahead.

Episode sponsorships

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