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Glass Hopping is a sophisticated synthesis of conceptual mapping and state-space navigation designed for Claude. By treating glass beads as open sets within an ordered locale and world hops as directed bridge types, it provides a formal framework for transitioning between different domains—such as mathematics, music, and philosophy—while maintaining triadic balance (GF(3)). It utilizes Narya type theory to verify that every transition respects observational equality and the triangle inequality, providing a rigorous yet creative path through multi-dimensional concept spaces for researchers and advanced system designers.
