{
  "abstract": "Which information tells a turbulent flow which way to cascade? We apply Haar-distributed Hermitian phases that retain prescribed same-mode quadratic information, including modal amplitudes, the energy spectrum, and same-mode two-time correlations. For the phase-Haar ensemble, the expectation of any integrable odd flux functional is zero. Finite ensembles strongly suppress mean transfer and forward-event bias in the primary block. An independent block retains sign separation but fails the scale-8 mean criterion. In matched evolution protocols, nonlinear Navier-Stokes dynamics restores the selected signed-flux scalar close to its natural reference, whereas linear evolution and an amplitude-matched frozen control do not. Flux and a local cubic geometry scalar recover together, yet high local correlation can survive erasure of the arrow. Signed transfer thus requires information beyond the retained quadratic record; the tested nonlinear dynamics rebuilds it.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07449",
  "author_total": 3,
  "authors": [
    {
      "name": "Yang Zhao"
    },
    {
      "name": "Daocheng Zhou"
    },
    {
      "name": "Hongfu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d0q6tw7c00c0r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07449",
  "fulltext_url": null,
  "id": "d0q6tw7c00c0r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07449",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7220953868",
  "pdf_url": "https://arxiv.org/pdf/2610.07449",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d0q6tw7c00c0r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07449",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07449"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Erasing and Regenerating the Turbulent Cascade Arrow",
  "title_text": "Erasing and Regenerating the Turbulent Cascade Arrow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/d0q6tw7c00c0r",
  "venue": "arXiv",
  "versions": []
}