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We have built a financial system that makes promises about an unlimited future on a planet with limits.That's the contradiction at the heart of modern finance. Global debt has climbed from $50 trillion to over $300 trillion in four decades - an exponential curve. Meanwhile, resource extraction is flattening. Two lines, two opposing stories. The gap between them is The Infinite Debt Problem.This isn't a doom-and-gloom book. It's a practical, market-based solution and redesign for the financial system itself. Replace fixed-rate sovereign debt - which demands perpetual growth, with the Productivity Bond, an instrument whose return is linked to measurable improvements in efficiency.How it works:Inflation protection + a share of productivity gainsA real-return floor (0%) to protect investorsA cap (5%) to protect governmentsCountercyclical payments: lower in bad years, higher in good yearsThe evidence: In realistic 10,000-path simulations, the Productivity Bond reduces expected financing costs by 3.1%. The hybrid version (adding revenue growth) cuts costs 11.8%, lowers distress probability 25.9%, and improves welfare 13.9%.But here's the critical insight: The government's ability to capture AI‑driven productivity gains is the make-or-break variable. If it captures less than 15%, the bond barely outperforms; if more than 30%, it substantially outperforms. The Productivity Bond creates a powerful incentive to share gains broadly.The book also introduces:The Productivity Dividend – a universal, unconditional payment to every citizen, funded by AI royalties, productivity taxes, and sovereign AI equityA new social contract based on productivity, sharing, and participation - not work, growth, and inequalityA full transition roadmap from pilot to global financial architectureThe AI Paradox: AI could vault us over the Four Walls (demographic, productivity, resource, ecological) or break the financial system by concentrating wealth and breaking the link between work and income. The Productivity Dividend ensures everyone benefits.For readers who want the full story: The first 12 chapters deliver a tight narrative; the remaining 11 chapters and 8 appendices provide the historical archaeology, complete mathematics, detailed simulation methodology, legal and institutional design, and even a full prospectus for a pilot issuance.The choice is ours. We can continue with extraction, inequality, and instability - or we can choose productivity, sharing, and sustainability.The infinite debt problem is not an inevitability. It is an invitation to build a financial system that serves prosperity.