EQUATION REGISTRY

Translated core and linear source

First-order perturbation equation about a specified static configuration with a kinetic-normalized Hessian; full nonlinear source construction is a separate task.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-003
Q(r,t)=Q∗[r−X(t)]+η,[∂t2+H∗(t)]η=S,Str=(a⋅∇)Q∗−(v⋅∇)2Q∗\mathcal Q(\mathbf r,t)=\mathcal Q_*[\mathbf r-\mathbf X(t)]+\eta,\quad [\partial_t^2+\mathcal H_*(t)]\eta=S,\quad S_{\rm tr}=(\mathbf a\cdot\nabla)\mathcal Q_*-(\mathbf v\cdot\nabla)^2\mathcal Q_*

First-order perturbation equation about a specified static configuration with a kinetic-normalized Hessian; full nonlinear source construction is a separate task.
Chapter reference: Ch. 5 (5.1.18)–(5.1.20) · ASD-BOOK-ddbade997b45

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ASD-WEB-QM-003 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Adopted source, conditions and previous versions

Ch. 5 (5.1.18)–(5.1.20)

First-order perturbation equation about a specified static configuration with a kinetic-normalized Hessian; full nonlinear source construction is a separate task.

Conditions retained in this adoption

  • Selected channel and stated initial/boundary conditions; action/energy matching retained
  • Continuum, slow-envelope and detector approximations kept at their respective levels

Specific unresolved source issues

  • QC-THRESHOLD-001: strict versus non-strict radiation threshold

Source locators: p1792 · p1809 · p1822 · p1823 · p1846 · p1857

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

QM-0accdcbe7725 · Ch. 5 (5.1.18)–(5.1.20)

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