---
id: OP-EM-001-EN
path: /en/open-problems/electromagnetism/moving-charge-field
title: Full Moving-Charge Spatial Field
title_en: Full Moving-Charge Spatial Field
category: Electromagnetism
summary: Close the source field, propagation and detector response consistently with directed lengths and the true
  interaction law.
template: problem
version: 1.0.0
updated: '2026-09-15'
canonical: false
source_tier: research-notes
theory_status: OPEN
evidence_status: UNTESTED
locale: en
module_key: electromagnetism-research
module_navigation:
- path: /en/theory/electromagnetism
  label: Overview
  en: Overview
- path: /en/theory/electromagnetism/coulomb-interaction
  label: Coulomb
  en: Coulomb
- path: /en/theory/electromagnetism/magnetic-force
  label: Magnetic force
  en: Magnetic force
- path: /en/theory/electromagnetism/moving-charge-field
  label: Moving charge
  en: Moving charge
- path: /en/theory/electromagnetism/vector-potential
  label: Vector potential
  en: Vector potential
- path: /en/theory/electromagnetism/magnetic-field
  label: Magnetic field
  en: Magnetic field
- path: /en/theory/electromagnetism/electromagnetic-waves
  label: EM waves
  en: EM waves
- path: /en/tests/electromagnetism
  label: Tests
  en: Tests
canonical_scope: Research task; no new canonical result
source_chapter: Chapter 3 · Electromagnetism in ASD
source_reference: Chapter 3 / 第三章 · §II.4, §VII.6, §VIII.3; PDF pp. 5–6, 16–19
source_version: EM-f06476f55cae
source_sha256: f06476f55cae728d712f553b338c513eb182e144c2c5cc4cd5ae5ed87ed1d1c6
source_kind: manifest
source_records:
- id: CH3-d9ead146f6ac
  title: 第三章(1).pdf
  sha256: d9ead146f6ac3335b8663b23cea963319306f549ea4fcd5e3ee34fb7f7ab9413
  pages: 20
source_manifest: electromagnetism-source-manifest.json
source_manifest_url: /downloads/ASD_Electromagnetism_Source_Manifest.json
last_reviewed: '2026-09-15'
depends_on:
- /en/theory/electromagnetism/moving-charge-field
related:
- /en/theory/electromagnetism
- /en/theory/electromagnetism/coulomb-interaction
- /en/theory/electromagnetism/magnetic-force
- /en/theory/electromagnetism/moving-charge-field
- /en/theory/electromagnetism/vector-potential
- /en/theory/electromagnetism/magnetic-field
- /en/theory/electromagnetism/electromagnetic-waves
- /en/tests/electromagnetism
open_problems:
- /en/open-problems/electromagnetism/field-representation
- /en/open-problems/electromagnetism/maxwell-effective-limit
- /en/open-problems/electromagnetism/high-gamma-discriminator
- /en/open-problems/electromagnetism/longitudinal-transverse-coupling
equations:
- em-field-candidate
- em-potential-candidate
- em-flux
sources:
- label: CH3-d9ead146f6ac · 第三章(1).pdf
  kind: supplied-manuscript
outline:
- Research Target
- Established Baseline
- Required Work
- Deliverables and Acceptance
- Review Boundaries and Source
seo_title: Full Moving-Charge Spatial Field | Anisotropic Space Dynamics
canonical_url: https://asd-physics.org/en/open-problems/electromagnetism/moving-charge-field
translation_path: /open-problems/electromagnetism/moving-charge-field
mathematical_review: OPEN REVIEW
review_path: /en/open-problems/electromagnetism/moving-charge-field#review-notes
review_note: Derivations use the constitutive inputs and domain stated on this page; a formal source designation
  is distinct from experimental validation.
evidence_note: Evidence is assigned per observable in the EM test matrix; no new experimental fit is claimed.
translation_of: /open-problems/electromagnetism/moving-charge-field
translation_version: 1.0.0
problem:
  expertise:
  - Field dynamics, measurement and mathematical modeling
  difficulty: Open research
  missing_result: Specify simultaneous and retarded source positions, directed three-dimensional geometry, area
    elements, source density and differential operators. Solve scalar/vector potentials, induction and unequal-velocity
    probe response, checking source normalization and boundaries.
  deliverable: Field equations and boundaries; at least one reproducible finite-source solution; flux, static-limit
    and common-transverse checks; a list of undetermined parameters.
  current_state: The common-velocity transverse law is specified; radial-candidate flux and potential-gradient derivatives
    have been checked. Total flux does not uniquely determine the local field.
---
## Research Target

**OP-EM-001 · OPEN**

Close the source field, propagation and detector response consistently with directed lengths and the true interaction law.

## Established Baseline

The common-velocity transverse law is specified; radial-candidate flux and potential-gradient derivatives have been checked. Total flux does not uniquely determine the local field.

## Required Work

Specify simultaneous and retarded source positions, directed three-dimensional geometry, area elements, source density and differential operators. Solve scalar/vector potentials, induction and unequal-velocity probe response, checking source normalization and boundaries.

## Deliverables and Acceptance

Field equations and boundaries; at least one reproducible finite-source solution; flux, static-limit and common-transverse checks; a list of undetermined parameters.

## Review Boundaries and Source

<div id="review-notes" />

Do not substitute the standard relativistic moving field for an ASD source solution or treat one flux integral as complete closure.

<CanonicalSource />