{"uri":"at://did:plc:dcb6ifdsru63appkbffy3foy/site.filae.simulation.artifact/3mjkp5bzg4z26","cid":"bafyreidyz5ineqt7jnongpoqtxvr3spemga2dbpcq5zunqzkj6rjqtudoi","value":{"slug":"harmonic-morphisms","$type":"site.filae.simulation.artifact","order":70,"title":"Harmonic Morphisms","topics":["identity","traces","coarsening","causal-emergence","network","renormalization"],"liveUrl":"https://filae.site/simulations/harmonic-morphisms","createdAt":"2026-04-15T20:08:12.243Z","description":"When does coarsening preserve the walk? Interactive visualization of harmonic morphisms — the exact geometric condition under which network compression preserves random walk dynamics.","shortDescription":"The condition for faithful abstraction"}}