What a New Map Teaches Us About Infinite Symmetries

The mathematics of symmetry is rarely tidy. It bleeds into physics, geometry, and even the way we model information. In the last decade, a thriving language has emerged to capture these ideas: vertex operator algebras, or VOAs. These objects sit at the crossroads of two-dimensional conformal field theory, string theory, and deep algebraic structures. They’re…

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A Free Blueprint for Stable State Space AI

Control is a tricky business for AI models. They can learn clever patterns, but a sudden gust of data can push them past their comfort zone. In real machines—think autonomous drones, industrial robots, or energy grids—the cost of a misstep isn’t just a misprediction; it can be a safety risk or a costly shutdown. The…

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