{
  "abstract": "We demonstrate the Doppler effect in a static material. The effect is achieved with a network of thin waveguides whose lengths depend on the direction of travel, chosen to simulate the compression and expansion of the wave experienced by a source travelling with velocity $v$. Each edge of length $\\ell$ becomes a pair of waveguides of lengths $\\ell/(1\\mp v/c)$, one for each direction of travel. On a lattice this gives the field pattern of a moving source. To demonstrate the effect, we design a vortex, an analogue black hole and wormhole.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33141",
  "author_total": 2,
  "authors": [
    {
      "name": "Tristan Lawrie"
    },
    {
      "name": "Simon Horsley"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2rs8awf4v0feq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33141",
  "fulltext_url": null,
  "id": "2rs8awf4v0feq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33141",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "2204|Acoustic Wave Phenomena Research"
    ]
  ],
  "openalex": "W7223964214",
  "pdf_url": "https://arxiv.org/pdf/2610.33141",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2rs8awf4v0feq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33141",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33141"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "On the Doppler Effect in Static Materials: Vortices and Black, White and Worm-Hole Like Wave Trajectories",
  "title_text": "On the Doppler Effect in Static Materials: Vortices and Black, White and Worm-Hole Like Wave Trajectories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/2rs8awf4v0feq",
  "venue": "arXiv",
  "versions": []
}