In this episode, Nik is joined by astrophysicist and mathematician Stephen Perrenod to unpack the scientific framework behind a potential $1 million Bitcoin. Stephen introduces the Bitcoin Power Law thesis and explains how mathematical modeling, fractals, and historical price patterns point to Bitcoin’s long-term exponential growth. They discuss how this theory differs from stock-to-flow, the role of volatility in Bitcoin’s maturity, and how timeframes like 2031–2033 align with past cycles. The episode offers a data-driven lens into why $1 million per coin may be less speculation and more inevitability. Bitcoin Age is here, order yours today: https://a.co/d/5gau08H The Bitcoin Layer is a bitcoin and global macroeconomic research firm. The Bitcoin Layer is proud to be sponsored by Unchained, the leader in Bitcoin financial services. Unchained empowers you to take full control of your Bitcoin with a collaborative multisig vault, where you hold two of three keys, and benefit from a Bitcoin security partner. Purchase Bitcoin directly into your cold storage vault and eliminate exchange risks with Unchained's Trading Desk. Unchained also offers the best IRA product in the industry, allowing you to easily roll over old 401(k)s or IRAs into Bitcoin while keeping control of your keys. Don’t pay more taxes than you have to. Talk to us today. Visit unchained.com/tbl and use the code TBL10 for a 10% credit towards your first year's account fees. Blockstream delivers cutting-edge Bitcoin infrastructure. Discover the top-rated Blockstream Jade hardware wallet for secure offline storage, and explore the Blockstream Satellite for a seamless offline Bitcoin node experience — all available at the Blockstream Store. Visit: https://store.blockstream.com/discount/TBL for 10% off entire order. Arch Lending is the Bitcoin-native solution for unlocking liquidity without selling your Bitcoin. Secure a loan using your Bitcoin as collateral, with zero rehypothecation and institutional-grade custody. Whether you're buying a home or investing in your business, Arch Lending helps you access capital while staying long BTC. Learn more at: archlending.com ▶️ Subscribe and turn on notifications for TBL on YouTube. Subscribe to TBL’s research letter: https://thebitcoinlayer.com/subscribe Subscribe to The Bitcoin Layer on your favorite podcast platform. Follow TBL on X: https://twitter.com/TheBitcoinLayer Join the official TBL channel on Telegram: https://t.me/thebitcoinlayerofficial Use code TBLYT10 for 10% off all The Bitcoin Layer Merch at http://TheBitcoinLayer.com/merch ️ ₿lock Height 909620 Contribute to The Bitcoin Layer via Lightning Network: thebitcoinlayer@zbd.gg Nik Bhatia's Twitter: https://twitter.com/timevalueofbtc Creative Director Matthew Ball's Twitter: https://twitter.com/matthewrball Researcher Demian Schatt's Twitter: https://x.com/demianschatt Lead Statistician Augustine Carrasco Twitter: https://x.com/AugustineCarrB The Bitcoin Layer and its guests do not provide investment advice. Chapters: 00:23 Diving into the Bitcoin Power Law 01:14 Origins of the Network Power Law Theory 03:39 Networks, Addresses, and Bitcoin Price 05:54 Bitcoin Price Growth: Cube and Square Law 08:08 Bitcoin's Journey and Price Scaling 14:13 Agenda & Structure of Today's Discussion 16:42 Money 3.0: Monetary Tech Revolution 20:13 Bitcoin vs Gold and Fiat—Value Attributes 23:07 Role of Cryptography in Bitcoin's Value 27:21 Power Laws in Nature and Physics Examples 31:40 Exponential vs Power Law in Finance 34:50 Bitcoin's Power Law Trend and Projections 39:59 Growth Rate Decline & Math Behind Power Law 42:31 Applying the Model to Gold and Other Assets 45:22 Power Law Persistence Across Bitcoin History 52:03 Core vs Bubble Behavior in Bitcoin 57:20 Kelly Criterion: Optimal Portfolio Allocation 01:00:58 Liquidity, Money Supply & Bitcoin Pricing 01:03:40 Closing Thoughts, Awareness & Where to Learn More