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    "story_id": "mp-2026-10-29-027",
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    "headline": "A Tiny Deformation Makes the Light Rings Reconnect",
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    "dek": "Catastrophe theory identifies cusp and butterfly points where optical vortex rings nucleate, collapse or reconnect under minute beam changes.",
    "summary": "Catastrophe theory identifies cusp and butterfly points where optical vortex rings nucleate, collapse or reconnect under minute beam changes.",
    "body_text": "Optical vortex rings usually change smoothly when beam parameters move slightly, but near degenerate critical points the topology can jump. A theoretical analysis of elliptic Gaussian beam superpositions identifies cusp and butterfly catastrophes where minute elliptic deformations cause rings to reconnect, appear or collapse to a point. The work supplies a classification of these abrupt transformations and connects singular optics to catastrophe theory. It is a theoretical study of modeled beam configurations rather than a report of a new deployed optical device.",
    "why_it_matters": "Catastrophe theory identifies cusp and butterfly points where optical vortex rings nucleate, collapse or reconnect under minute beam changes.",
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    "tags": [
      "optics",
      "vortices",
      "catastrophe theory",
      "topology"
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      "title": "arXiv preprint 2610.37615, original v1",
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