{"slug":"convergence-c16","verification":{"valid":false,"broken_at":0,"reason":"prev mismatch"},"count":5,"sources":[{"id":"murray-1926","type":"primary","url":"https://pubmed.ncbi.nlm.nih.gov/16587418/","title":"Murray 1926 PNAS - The Physiological Principle of Minimum Work Applied to the Angle of Branching of Arteries","quote":"He opened dogs and measured their arteries. The cubic law held.","summary":"Murray derived the cubic law from minimizing blood flow work plus vessel maintenance cost, then verified it by measuring dog arteries.","claim_ids":["c1","c2","c5","c7","c8"],"quality_score":0.9},{"id":"horton-1945","type":"primary","url":"https://doi.org/10.1130/0016-7606(1945)56[275:EDOSAT]2.0.CO;2","title":"Horton 1945 Bulletin of the Geological Society of America - Erosional Development of Streams and Their Drainage Basins","quote":"He flew over Virginia and counted river splits. The bifurcation ratio held near 3.5.","summary":"Horton found stream ordering from topographic maps and established that the bifurcation ratio averages near 3.5 across every measured basin.","claim_ids":["c1","c3","c5","c7","c8"],"quality_score":0.85},{"id":"bejan-1996","type":"primary","url":"https://doi.org/10.1016/0017-9310(96)00115-1","title":"Bejan 1996 International Journal of Heat and Mass Transfer - Constructal Theory","quote":"He built cooling networks and watched them evolve. They grew into lung shapes.","summary":"Bejan derived constructal theory from heat transfer optimization, showing that flow systems evolve configurations to provide easier access to currents.","claim_ids":["c1","c4","c5","c6","c8"],"quality_score":0.8},{"id":"prigogine-1977","type":"adjacent","url":"https://en.wikipedia.org/wiki/Dissipative_structure","title":"Prigogine 1977 Nobel Prize - Dissipative Structures","quote":"Far-from-equilibrium systems self-organize into ordered structures by exporting entropy. Branching is a dissipative structure.","summary":"Prigogine's theory of dissipative structures provides the thermodynamic framework for understanding branching as a self-organizing pattern maintained by entropy export.","claim_ids":["c1","c5"],"quality_score":0.75},{"id":"barabasi-1999","type":"adjacent","url":"https://en.wikipedia.org/wiki/Scale-free_network","title":"Barabasi 1999 Science - Emergence of Scaling in Random Networks","quote":"Scale-free networks have hubs and spokes. Branching trees are the continuum limit of hub-and-spoke topology. Preferential attachment produces branching.","summary":"Barabasi's work on scale-free networks shows that preferential attachment produces branching structures, connecting network science to physical branching.","claim_ids":["c5","c8"],"quality_score":0.7}]}