ASDANISOTROPIC
SPACE DYNAMICS
中文AI Researcher
ASDSpatial-state normalization into electromagnetic variables
EQUATION REGISTRY

Spatial-state normalization into electromagnetic variables

Source-free transverse sector with specified gauge and boundaries; ΩT is dimensionless, not temporal angular velocity or a topological number.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 3

ASD-WEB-EM-033
AT=NTuT,ΩT=∇×uT,B=NTΩT,ET=−NT∂tuT\mathbf A_T=N_T\mathbf u_T,\quad\boldsymbol\Omega_T=\nabla\times\mathbf u_T,\quad\mathbf B=N_T\boldsymbol\Omega_T,\quad\mathbf E_T=-N_T\partial_t\mathbf u_T

Source-free transverse sector with specified gauge and boundaries; ΩT is dimensionless, not temporal angular velocity or a topological number.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.46) · ASD-BOOK-ddbade997b45

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation

Source and ID

ASD-WEB-EM-033 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

Return to premises and derivation
Adopted source, conditions and previous versions

Final collected manuscript · Chapter 3, equations (3.46)

Source-free transverse sector with specified gauge and boundaries; ΩT is dimensionless, not temporal angular velocity or a topological number.

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: p1002 · p1015 · p1044 · p1046 · p1048 · p1053 · p1058 · p1063 · p1067 · p1073 · p1075 · p1080 · p1085 · p1090 · p1096 · p1128 · p1153 · p1154 · p1155 · 最终合订稿 · 第三章式 (3.46)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

Download source identity manifest

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 · (3.46), PDF p. 12

DEPENDS ON

Dependencies

contextPotential representation of the fieldsASD-WEB-EM-016
USED BY

Uses of this equation

Subsequent equationCoefficient matching and wave speedASD-WEB-EM-034Subsequent equationFree Maxwell representation of transverse dynamicsASD-WEB-EM-035DocumentElectromagnetic Waves: Transverse Dynamics and Free Maxwell RepresentationDocumentMagnetic Field: Spatial Curl and Material Response
Discuss this page Browse all equations