EQUATION REGISTRY

Static stretch far field

Dimensionless varphi; the right side is the static Green integral for a localized source and zero far boundary. Spherical compact support gives exact exterior 1/r; an integrable tail gives an asymptote. Matter fixes the source and feedback.

Theory · CANDIDATE MODELEquation version 1.0.0

Based on the final manuscript · Chapters 4 and 5

ASD-WEB-SD-030
Zφ(∂t2−c2∇2)φ=Jg,φ(r)=14πZφc2∫Jg(r′)∣r−r′∣ d3r′Z_\varphi(\partial_t^2-c^2\nabla^2)\varphi=\mathcal J_g,\quad\varphi(\mathbf r)=\frac{1}{4\pi Z_\varphi c^2}\int\frac{\mathcal J_g(\mathbf r')}{|\mathbf r-\mathbf r'|}\,d^3r'

Dimensionless varphi; the right side is the static Green integral for a localized source and zero far boundary. Spherical compact support gives exact exterior 1/r; an integrable tail gives an asymptote. Matter fixes the source and feedback.
Chapter reference: Ch. 5 (5.6.17) · ASD-BOOK-ddbade997b45

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Ch. 5 (5.6.17)

Registered formula checked individually against the final manuscript; semantic potential phi→varphi; source-grounded scope note synchronized

Conditions retained in this adoption

  • Dimensionless varphi; the right side is the static Green integral for a localized source and zero far boundary. Spherical compact support gives exact exterior 1/r; an integrable tail gives an asymptote. Matter fixes the source and feedback.

Source locators: p2256–2257

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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SD-51779505a476 · Ch. 5 (5.6.17)

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