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Radial moving-field candidate

Assumes a reference-radial field and ordinary spherical area elements; not a closed moving-field solution. Web motion angle φ corresponds to the manuscript’s ϕ in this section, without changing its meaning.

Theory · CANDIDATE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 3

ASD-WEB-EM-012
Ecand(R,ϕ)=q4πε0R21−β2(1−βcos⁡ϕ)2R^\mathbf E_{\rm cand}(R,\phi)=\frac{q}{4\pi\varepsilon_0R^2}\frac{1-\beta^2}{(1-\beta\cos\phi)^2}\hat{\mathbf R}

Assumes a reference-radial field and ordinary spherical area elements; not a closed moving-field solution. Web motion angle φ corresponds to the manuscript’s ϕ in this section, without changing its meaning.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.17) · ASD-BOOK-ddbade997b45

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ASD-WEB-EM-012 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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Final collected manuscript · Chapter 3, equations (3.17)

Assumes a reference-radial field and ordinary spherical area elements; not a closed moving-field solution. Web motion angle φ corresponds to the manuscript’s ϕ in this section, without changing its meaning.

Conditions retained in this adoption

  • Special two-body result: uniform exterior background, equal parallel velocities, transverse separation and virtual displacement at fixed velocity.
  • Free Maxwell representation: long waves, weak perturbations, transverse constraint, constant coefficients and normalization.
  • Minimal-coupling sources: macroscopic coarse graining, low-speed point sources or a low-frequency near zone; high-speed closed sources require separate construction.

Specific unresolved source issues

  • Local results do not automatically close high-speed topological sources, full instrument mapping or global directed propagation.

Source locators: p1021 · p1023 · p1024 · p1026 · p1027 · p1173 · p1224 · p1230 · p1283 · 最终合订稿 · 第三章式 (3.17)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.

Previous source, retained as history

EM-f06476f55cae · 第三章 / Chapter 3 · (3.17), PDF p. 5

DEPENDS ON

Dependencies

inputLength Vector Effect in a general directionASD-WEB-LVE-008contextCoulomb law in true spaceASD-WEB-EM-005
USED BY

Uses of this equation

Subsequent equationTotal flux of the radial candidateASD-WEB-EM-014DocumentFull Moving-Charge Spatial FieldDocumentHigh-γ Charge Field and EO WorkbenchDocumentMoving-Charge Fields: Geometry, Flux and Detection
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