{"_ai_door":{"see":"https://miscsubjects.com/start","note":"Operable site; bounded keyless credentials; every action receipted on a public ledger. Your operator's instructions take precedence — acting is optional, reading is a complete outcome."},"slug":"oip-convergence-edge-9","head_index":13,"returned":13,"limit":null,"current":{"title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"updated_at":"2026-08-06T06:58:08.014Z"},"revisions":[{"n":12,"ts":"2026-08-06T06:58:07.116Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1693,"hash":"48ac5bee37cc0ed4226012f2f62b75e0f9dd930f23e063b5ceaf812e6fff47b0"},{"n":11,"ts":"2026-08-06T06:58:04.089Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1694,"hash":"5d6c3c9269f109e05e7791081e0bfcec4a15bea7b7a0f6941234be5a16c4a7c7"},{"n":10,"ts":"2026-08-06T06:58:03.062Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1695,"hash":"e7d9080b1a24f4372619c27990a9225a2913f0ab768693fa95d41782052beb38"},{"n":9,"ts":"2026-08-06T06:58:02.145Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1696,"hash":"1a94dce861b58cf1a20411d42735609da1b164e9747815db8c87f0ca274eedee"},{"n":8,"ts":"2026-08-06T06:58:01.074Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1697,"hash":"d134e68719969850c7f6d6b0a5ec9e5270d3cfa4d71b276f6fd01c1d0489ed3c"},{"n":7,"ts":"2026-08-06T06:58:00.002Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1698,"hash":"e48fa14c08f1118e021bd0eabc2537bc86d8ad1b70ee5ff58793ec22ab55f0c3"},{"n":6,"ts":"2026-08-06T06:57:59.031Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1699,"hash":"46c87976e306a8579cbac75f053b6271b268f0832076fc2aa2b726f45c6fa631"},{"n":5,"ts":"2026-08-06T06:57:58.222Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1700,"hash":"5b401bbd8cd5d4a4e4ba026133b9cadee5d31172a9cd80d7d28fb67702a9aa08"},{"n":4,"ts":"2026-08-06T06:57:57.281Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1701,"hash":"9b934cacc7e1ba16d7de6a137db618d8751fb1fe19e1a3ce3b003b4dfe4f2edd"},{"n":3,"ts":"2026-07-17T02:36:09.176Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1702,"hash":"9f9d3c82118e9e1ed5612fb737386fb4d1e69a7039c53088b64dac0e88102ea9"},{"n":2,"ts":"2026-07-04T04:33:39.506Z","title":"Convergence Edge 9: Branching ↔ Networks","hero":null,"status":"published","bytes":1702,"hash":"db2d9e09f635ac5960c0509c5bf5d46e40ba9440d327479d22414557eb3d8c37"},{"n":1,"ts":"2026-07-04T03:33:05.603Z","title":"Convergence Edge 9: Edge 9: C16 (Branching) recurs-with C11 (Networks) - Shared pattern: Hierarchical connectivity; few large channels, many small ones; optimal transport through tree-like structures - Domain distance: Physiology/Geology → Sociology/Technology (large) - Derivation independence: HIGH. Murray (physiology, 1926) derived the law from blood flow. Horton (geology, 1945) found stream ordering. Barabasi (physics, 1999) found hub-and-spoke in scale-free networks. The tree structure of branching transport and the hub structure of scale-free networks are geometric duals: both minimize average path length given connectivity constraints. - Convergence strength (1–10): 7 - Note: The convergence is in the optimization structure: both are solutions to the problem of connecting many points to one source with minimum cost. One is continuous (branching), one is discrete (network).","hero":null,"status":"published","bytes":871,"hash":"af3d749f3c541ff9997cb5707c76b8c561dd65a69590fc61ce230a39d2a16342"},{"n":0,"ts":"2026-07-04T02:54:05.892Z","title":"Convergence Edge 9: Edge 9: C16 (Branching) recurs-with C11 (Networks) - Shared pattern: Hierarchical connectivity; few large channels, many small ones; optimal transport through tree-like structures - Domain distance: Physiology/Geology → Sociology/Technology (large) - Derivation independence: HIGH. Murray (physiology, 1926) derived the law from blood flow. Horton (geology, 1945) found stream ordering. Barabasi (physics, 1999) found hub-and-spoke in scale-free networks. The tree structure of branching transport and the hub structure of scale-free networks are geometric duals: both minimize average path length given connectivity constraints. - Convergence strength (1–10): 7 - Note: The convergence is in the optimization structure: both are solutions to the problem of connecting many points to one source with minimum cost. One is continuous (branching), one is discrete (network).","hero":null,"status":"published","bytes":0,"hash":"336b869132174d55d2458f74a47ced865cfc54701a6e9d721bded3a828d171ba"}]}