Title: Thermodynamics of Cognitive Power: When {1=1} Breaks the Fortress (Academic Version) Tags: compute-sovereignty, validation-cost, work-and-productivity --- This forecasting paper, built on industry and market data, challenges the assumption that the future of AI is a zero-sum contest between centralized cloud services and locally run open models. Its thesis is a **profitable bifurcation**: two complementary ecosystems that coexist as Windows and Linux have for decades, one serving enterprises that pay for compliance, support and integration, the other serving advanced users, small firms and states that want sovereignty, lower cost and customization. The argument rests on a divergence. The cost of training frontier models rises steeply and stays concentrated in a few organizations. The cost of inference falls, through more memory on consumer hardware, quantization and mixture-of-experts architectures. Open-weight models separate who produces a model from who uses it. For a heavy individual user the paper calculates that local hardware pays for itself within months, and longer for organizations without their own technical team. The market for **sovereign compute** is sized from the bottom up, starting from a core group of intensive users the paper calls Digital Nobles, at 35 to 55 billion euros in 2030, beside 50 to 80 billion for enterprise cloud. Precedents (IBM and the PC, Microsoft and Linux, Nokia and the smartphone) are used to assess the position of the current leaders. A timeline sets checkpoints in 2026 and names the second quarter of 2027 as the point of no return, with explicit markers: the price of 64 GB hardware, the quality gap of open models, the number of sovereign users. Three scenarios for 2030 receive probabilities (bifurcation, persistent oligopoly, geopolitical fragmentation), followed by recommendations for hardware makers, cloud companies, enterprises, investors and policymakers. **{1=1}** stands for the equilibrium between centralized production and distributed use. The paper gives the conditions under which its thesis would be falsified, and an appendix compares its estimates with further published market data.