EQUATION REGISTRY

∂²t uT − c²∇²uT = 0 ; ∇·uT = 0

Compatibility formula for transverse displacement at constant coefficients, long wavelength and zero source after common-speed matching; retain the divergence-free constraint. It does not replace nonlinear matter or tensor branches.

Theory · EFFECTIVE MODELEquation version 1.1

Based on the final manuscript · Chapters 4 and 5

ASD-WEB-WAV-002
∂t2uT−c2∇2uT=0,∇⋅uT=0\partial_t^2\mathbf u_T-c^2\nabla^2\mathbf u_T=0,\quad\nabla\cdot\mathbf u_T=0

Compatibility formula for transverse displacement at constant coefficients, long wavelength and zero source after common-speed matching; retain the divergence-free constraint. It does not replace nonlinear matter or tensor branches.
Chapter reference: Ch. 4 (4.8)–(4.9); Ch. 5 (5.1.9), (5.4.1)–(5.4.2) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Ch. 4 (4.8)–(4.9); Ch. 5 (5.1.9), (5.4.1)–(5.4.2)

Registered formula checked individually against the final manuscript; source-grounded scope note synchronized

Conditions retained in this adoption

  • Compatibility formula for transverse displacement at constant coefficients, long wavelength and zero source after common-speed matching; retain the divergence-free constraint. It does not replace nonlinear matter or tensor branches.

Source locators: p1763–1764 · p2018–2020

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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