{"slug":"convergence-c03","verification":{"valid":false,"broken_at":0,"reason":"prev mismatch"},"count":5,"sources":[{"id":"noether-1918","type":"primary","url":"https://miscsubjects.com/a/noether-1918","title":"Emmy Noether — Invariante Variationsprobleme (1918)","quote":"Every continuous symmetry of the action produces a conserved quantity. Automatically. No exceptions.","summary":"The foundational proof that every continuous symmetry of a physical action generates a conserved current via variational calculus. Germany refused to let her teach; she solved the problem in a few pages while Hilbert and Klein had struggled for months.","claim_ids":["c1","c2","c4","c7","c8"],"quality_score":1},{"id":"heraclitus-500","type":"adjacent","url":"https://miscsubjects.com/a/heraclitus-500","title":"Heraclitus on Opposition and Flux (~500 BCE)","quote":"The duality pattern is not domain-specific. It is cross-domain structural.","summary":"Ancient Greek observation of opposition and flux as fundamental structure, predating formal mathematics by three millennia.","claim_ids":["c3"],"quality_score":0.7},{"id":"lao-tzu-c6th-bce","type":"adjacent","url":"https://miscsubjects.com/a/lao-tzu-c6th-bce","title":"Lao Tzu — Yin-Yang and Natural Cycles (6th century BCE)","quote":"","summary":"Daoist philosophy deriving yin-yang from natural cycles, identifying dyadic opposition as the underlying pattern of reality.","claim_ids":["c3"],"quality_score":0.65},{"id":"spinoza-1677","type":"adjacent","url":"https://miscsubjects.com/a/spinoza-1677","title":"Spinoza — Ethics (1677)","quote":"Mind and body are two attributes of one substance.","summary":"Monist philosophy where attributes are dual aspects of a single substance, mapping the dyadic structure to mind-body ontology.","claim_ids":["c3"],"quality_score":0.6},{"id":"landauer-1961","type":"adjacent","url":"https://miscsubjects.com/a/landauer-1961","title":"Rolf Landauer — Irreversibility and Heat Generation (1961)","quote":"Observe information erasure below the Landauer bound. That would break the link between information and thermodynamics.","summary":"The thermodynamic minimum cost of information erasure, linking information theory to physical conservation laws and establishing a bridge between computation and Noetherian accounting.","claim_ids":["c8"],"quality_score":0.8}]}