{
  "abstract": "We study a Gaussian field on a two-dimensional lattice whose drift is coupled to its equilibrium covariance through a self-consistent mobility law, and ask whether the static fixed point predicts the nonlinear response to a quench with zero fitted parameters. Two independent statics-to-dynamics channels are established. First, an exchange-rate theorem: the Riccati identity dW/db=2W2dW/db=2W2 makes the static curvature 2W∗2=0.826517…2W∗2=0.826517… the unique conversion factor between a static constraint drift and the dynamical fluctuation-dissipation-violation fingerprint; a blind, sealed prediction matches the direct simulation on the frozen 36-cell main region with 100%100% per-cell passage and a 1.06%1.06% weighted residual, while a discriminator scan of trial rates κκ (residuals 100.00%100.00%, 50.51%50.51%, 1.01%1.01%, 97.97%97.97% at κ=0,1/2,1,2κ=0,1/2,1,2) excludes circularity. Second, an aging-rate selection rule: the measured decay rate is a sensitivity-weighted mixture of lattice modes, not a single gap; the parameter-free 16-shell sum gives Yshell=2.6274Yshell=2.6274 against the measured 2.69382.6938 (2.5%2.5%). The first-order residual is certified as the second layer of a geometric residue tower with a pole at δb=1/∣2W∗∣≈0.778δb=1/∣2W∗∣≈0.778; a zero-fit second-order theorem fixes the layer coefficient α=0.931α=0.931, whose leading seat is the self-referential normalization of the observable, improving table agreement from 1%1% to ∼0.04%∼0.04%. Three machine-identified horizons—the tower pole δb≈0.778δb≈0.778, a resolution horizon tw∗∈(3,4.5]tw∗∈(3,4.5] set by the ∼10−7∼10−7 differencing floor, and the secular bound dν⋅t≤0.3dν⋅t≤0.3—delimit the validity of every claim. All results are model-internal theorems and machine-verifiable certificates; no claim about real materials is made.\n\nORCID: 0009-0007-1999-0293 Email: 1352533302@qq.com/long083912@outlook.com\n\nphone:+86 18278275520(china)",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Yunlong Guan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7n90f9htftssy.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23592381",
  "fulltext_url": null,
  "id": "7n90f9htftssy",
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  "landing_url": "https://zenodo.org/records/23592381",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7n90f9htftssy.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:16Z",
      "native_id": "23592381",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23592381"
    }
  ],
  "subjects": [],
  "title": "Statics–dynamics exchangeability in a quenched Gaussian lattice field: an exchange-rate theorem, an aging-rate selection rule, and a residue tower",
  "title_text": "Statics–dynamics exchangeability in a quenched Gaussian lattice field: an exchange-rate theorem, an aging-rate selection rule, and a residue tower",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:16Z",
  "url": "https://research.draconitic.com/paper/7n90f9htftssy",
  "venue": "Zenodo",
  "versions": []
}