Potential representation of the fields
Effective continuum definitions introduced after the LVE magnetic-force derivation.
Based on the final manuscript · Chapter 3
Effective continuum definitions introduced after the LVE magnetic-force derivation.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.12) · ASD-BOOK-ddbade997b45
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Return to premises and derivationAdopted source, conditions and previous versions
Final collected manuscript · Chapter 3, equations (3.12)
Effective continuum definitions introduced after the LVE magnetic-force derivation.
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: p0999 · p1002 · p1006 · p1013 · p1031 · p1033 · p1036 · p1038 · p1065 · p1128 · p1282 · 最终合订稿 · 第三章式 (3.12)
Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e
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Previous source, retained as history
EM-f06476f55cae · 第三章 / Chapter 3 · (3.12), PDF p. 5
Dependencies
No preceding equation is recorded in this index. Consult the source topic for definitions, geometry and model scope.
Uses of this equation
Subsequent equationGauge freedom of the potentialsASD-WEB-EM-017Subsequent equationQuasistatic transverse source responseASD-WEB-EM-019Subsequent equationMinimal coupling as an effective constitutive choiceASD-WEB-EM-021Subsequent equationVariational response of the chosen couplingASD-WEB-EM-022Subsequent equationCurl field of a continuous currentASD-WEB-EM-027Subsequent equationGeometrical identities of the potential representationASD-WEB-EM-029Subsequent equationSpatial-state normalization into electromagnetic variablesASD-WEB-EM-033Subsequent equationRetarded response of the effective sourcesASD-WEB-EM-040DocumentVector Potential: A Continuous Spatial RepresentationDocumentElectromagnetism: From Coulomb Interaction to Transverse Waves