{"paper":{"title":"Real-space imaging reveals symmetry-selected nonlinear energy routing in a mechanical resonator","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Nonlinear energy routing in mechanical resonators is selected by spatial symmetry rather than frequency proximity.","cross_cats":["physics.app-ph"],"primary_cat":"physics.optics","authors_text":"Hua Li, Kazuhiko Hirakawa, Qian Liu, Shumpei Takenaka, Xueyong Wei, Ya Zhang, Yuko Terasawa, Yutao Xu","submitted_at":"2026-05-02T14:38:32Z","abstract_excerpt":"Nonlinear energy exchange between vibrational modes underlies phenomena ranging from internal resonance and wave mixing to frequency-comb generation, yet modal interactions are typically inferred from spectra rather than directly observed in space. Here, we image nonlinear modal energy routing in a nearly mirror-symmetric microelectromechanical resonator using phase-locked multi-harmonic stroboscopic interferometry. By reconstructing the spatial eigenmode content of individual harmonics, we show that harmonics generated by a driven mode can be carried by distinct spatial eigenmodes, directly r"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our measurements reveal that nonlinear energy exchange is not governed by frequency proximity alone. ... spatial parity as the fundamental admissibility condition for nonlinear coherent energy exchange.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reduced two-mode model with geometric nonlinearity fully captures the observed dynamics, and the stroboscopic interferometry accurately reconstructs individual harmonic mode shapes without significant artifacts or cross-talk.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Real-space imaging demonstrates that spatial symmetry, not frequency proximity, governs nonlinear energy exchange between modes in a mechanical resonator.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonlinear energy routing in mechanical resonators is selected by spatial symmetry rather than frequency proximity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7531c9e15ff12c42421b6d498197613c25e7b7e19eca820a8b55f69c269c8d49"},"source":{"id":"2605.01469","kind":"arxiv","version":2},"verdict":{"id":"07c6759a-eeff-4ef5-b5c4-b00b4862ace4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-09T17:49:51.533636Z","strongest_claim":"Our measurements reveal that nonlinear energy exchange is not governed by frequency proximity alone. ... spatial parity as the fundamental admissibility condition for nonlinear coherent energy exchange.","one_line_summary":"Real-space imaging demonstrates that spatial symmetry, not frequency proximity, governs nonlinear energy exchange between modes in a mechanical resonator.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The reduced two-mode model with geometric nonlinearity fully captures the observed dynamics, and the stroboscopic interferometry accurately reconstructs individual harmonic mode shapes without significant artifacts or cross-talk.","pith_extraction_headline":"Nonlinear energy routing in mechanical resonators is selected by spatial symmetry rather than frequency proximity."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.01469/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T17:41:14.383802Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T17:16:43.805843Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b13f478f80a2d9e8d8bf4a4a217ef0cc840928fe632652b1164704eeafe83668"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}