{"slug":"convergence-c17","verification":{"valid":false,"broken_at":0,"reason":"prev mismatch"},"count":5,"sources":[{"id":"douady-couder-1992","type":"primary","url":"","title":"Douady and Couder (1992) — Phyllotaxis as a Physical Self-Organized Growth Process","quote":"They dropped oil droplets onto a magnetized center in a Paris lab. The droplets repelled each other. They settled into Fibonacci spirals. The pattern emerged from local repulsion alone.","summary":"Empirical demonstration that Fibonacci spirals emerge from local repulsion without any global blueprint.","claim_ids":["c17-claim-1","c17-claim-3"],"quality_score":0.95},{"id":"schrodinger-1944","type":"adjacent","url":"https://miscsubjects.com/a/schrodinger-1944","title":"Schrodinger (1944) — What is Life?","quote":"He called it order from order. The spiral is order from order. Each element positions itself from local rules. No global blueprint exists.","summary":"Theoretical framework for how living order persists against entropy; provides the order-from-order lens for spiral self-organization.","claim_ids":["c17-claim-1"],"quality_score":0.8},{"id":"noether-1918","type":"adjacent","url":"https://miscsubjects.com/a/noether-1918","title":"Noether (1918) — Invariant Variational Problems","quote":"Noether's framework of invariant variational problems underlies why such optimal numbers govern physical structures.","summary":"Mathematical backbone showing why optimal numbers (like the golden ratio) govern physical structures through symmetry and conservation laws.","claim_ids":["c17-claim-2"],"quality_score":0.85},{"id":"darwin-1859","type":"primary","url":"https://miscsubjects.com/a/darwin-1859","title":"Darwin (1859) — On the Origin of Species","quote":"Plants that pack seeds efficiently reproduce more. The golden angle is not chosen. It is discovered by evolution.","summary":"Natural selection framework explaining how optimal packing is discovered rather than designed.","claim_ids":["c17-claim-1"],"quality_score":0.85},{"id":"prigogine-1977","type":"adjacent","url":"https://miscsubjects.com/a/prigogine-1977","title":"Prigogine (1977) — Dissipative Structures","quote":"Hurricanes are far-from-equilibrium systems. They maintain structure by exporting entropy. The spiral is the configuration that sustains this export most efficiently.","summary":"Theoretical framework for far-from-equilibrium systems that export entropy to maintain structure; applies to hurricanes and potentially galaxies.","claim_ids":["c17-claim-4"],"quality_score":0.8}]}