Epistemic Jazz: Recursive Coherence as a Bridge Between Axiomatic Systems and Living Meaning

Information and music share a common substrate. Both are pattern systems governed not by fixed rules but by recursive coherence: the iterative reinforcement of structural stability across time and scale. Classical knowledge systems, like classical music, encode meaning through static grammars that collapse under adaptive stress. Blues and jazz demonstrated that patterns could persist without rigid adherence to inherited structures, revealing that coherence resides in dynamic relationships, not in fixed positions. Recursive coherence performs the same function for epistemology: it uncovers why some configurations of information survive feedback, paradox, and entropy while others dissolve. By framing knowledge as a living pattern analogous to musical improvisation, this work redefines truth as emergent resonance rather than static correspondence. It provides a formal bridge between art and science, showing that the persistence of meaning follows the same structural invariants as the persistence of melody. The result is a universal language of pattern dynamics, offering a foundation for adaptive reasoning, coherent intelligence, and resilient systems design across domains.