{
  "abstract": "We present NRHJSur3dq8, a family of numerical-relativity surrogates for non-eccentric aligned-spin binary-black-hole waveforms inspired by an action-angle parameterization. The model provides both the dynamics: the Hamiltonian values, azimuthal action $J_ϕ(Φ)$, the orbital clock $τ(Φ)$ as functions of its phasing, and the radiative pieces: the waveforms, their near-analytic derivatives, and modeling errors associated with each. The surrogated variables are conditioned into pieces that vary slowly on the radiation-reaction timescale, represented on shared $h$-adaptive Chebyshev elements, and regressed across the intrinsic parameters with a Gaussian-process model. A time-parameterized merger-ringdown set of elements is attached where the adiabatic description breaks down. Fixed-hyperparameter leave-one-out validation of the central NRHJSur3dq8_AA model variant against numerical relativity gives a $(2,2)$ unweighted mismatch of $1.6^{+62}_{-1.5}\\times10^{-6}$ and an all-mode mismatch of $2.8^{+84}_{-2.7}\\times10^{-6}$ over the full inspiral-merger-ringdown span. Sky-averaged and signal-to-noise-ratio-weighted over $32$ orientations per simulation, the model's full inspiral-merger-ringdown in-sample mismatch against the SXS numerical-relativity simulations used for training is $8.9\\times10^{-7}$ to $2.8\\times10^{-5}$ across total masses $40$-$120 M_\\odot$. Waveforms are hybridized using post-Newtonian waveforms. Beyond accuracy, NRHJSur3dq8 provides two capabilities uncommon in numerical-relativity surrogates: nearly analytic derivatives of the strain with respect to the physical parameters, and a calibrated Gaussian-process predictive uncertainty of the model. A full non-hybridized inspiral-merger-ringdown waveform evaluates in $12.5$ ms on a single CPU call. Batched evaluation takes $0.43$ ms per waveform at a batch of $4096$, measured at a starting frequency of $25$ Hz.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09088",
  "author_total": 1,
  "authors": [
    {
      "name": "Vaishak Prasad"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ce2agjhrrcdb0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09088",
  "fulltext_url": null,
  "id": "ce2agjhrrcdb0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09088",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "astro-ph.IM"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7212056550",
  "pdf_url": "https://arxiv.org/pdf/2609.09088",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ce2agjhrrcdb0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2609.09088",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09088"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "NRHJSur3dq8: a spectral numerical-relativity surrogate family for non-eccentric aligned-spin binary-black-hole waveforms",
  "title_text": "NRHJSur3dq8: a spectral numerical-relativity surrogate family for non-eccentric aligned-spin binary-black-hole waveforms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/ce2agjhrrcdb0",
  "venue": "arXiv",
  "versions": []
}