--- id: ASD-EM-ELECTROMAGNETISM-EN path: /en/tests/electromagnetism title: Electromagnetism Experimental Matrix title_en: Electromagnetism Experimental Matrix category: Electromagnetism summary: Compare interaction laws, effective currents, high-speed fields and directional proposals using common measurands and explicit evidence boundaries. template: test version: 1.0.0 updated: '2026-09-15' canonical: true source_tier: canonical theory_status: EFFECTIVE MODEL evidence_status: UNTESTED locale: en module_key: electromagnetism 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: Chapter 3 · status assigned per claim source_chapter: Chapter 3 · Electromagnetism in ASD source_reference: Chapter 3 / 第三章 · §§I, IV, VIII.3; PDF pp. 2–4, 8–9, 18–19 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 - /en/theory/electromagnetism/magnetic-force - /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 open_problems: - /en/open-problems/electromagnetism/moving-charge-field - /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: [] sources: - label: CH3-d9ead146f6ac · 第三章(1).pdf kind: supplied-manuscript - label: Richard Fitzpatrick · Field Due to a Moving Charge url: https://farside.ph.utexas.edu/teaching/jk1/Electromagnetism/node151.html kind: external-comparison - label: Ota et al. (2022), Nature Physics 18, 1436–1440 url: https://www.nature.com/articles/s41567-022-01767-w kind: external-reference outline: - Evidence Scope - EM Experimental Matrix - Conditions of Each Record - From Calculation to Evidence - Review and Source seo_title: Electromagnetism Experimental Matrix | Anisotropic Space Dynamics canonical_url: https://asd-physics.org/en/tests/electromagnetism translation_path: /tests/electromagnetism mathematical_review: OPEN REVIEW review_path: /en/tests/electromagnetism#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: /tests/electromagnetism translation_version: 1.0.0 experiments: - id: em-test-parallel-moving-charges name: Parallel moving charges category: REINTERPRETED observed: No new two-charge data or apparatus-response fit is included. asd: LVE plus the true inverse-square law gives FT/F₀=1−β² and a magnetic correction −β²F₀. established: The standard co-moving transverse laboratory total force is F₀/γ; the leading low-speed magnetic coefficient agrees. numerical_difference: Differently defined total forces scale differently; Fr=F₀/γ matches numerically. Reading definitions must be aligned. interpretation_difference: True-space interaction precedes transverse field representation. distinguishes: Undetermined; matching leading magnetic terms settles neither total-force degeneracy nor discrimination. current_status: Derivation complete within the configuration; observational mapping open. evidence_status: UNTESTED required_precision: To be determined from apparatus, background velocity and readout mapping; no uncalculated threshold is assigned. source_reference: Chapter 3 / 第三章 · §I.1–4; (3.3)–(3.10) - id: em-test-current-current-force name: Current–current force category: REPRODUCED observed: Known long straight steady-wire behavior is the comparison target; no new experimental replication here. asd: The chosen effective sources and coupling give F/L=μ₀I₁I₂/(2πd). established: Parallel currents attract and antiparallel currents repel, with the same long-wire formula. numerical_difference: No numerical difference within the same effective model and conditions. interpretation_difference: True-space interaction precedes transverse field representation. distinguishes: Not distinguishing here; a microscopic multicomponent derivation is a separate closure task. current_status: Mathematical reproduction in the effective model; microscopic coarse graining remains open. evidence_status: CONSISTENT required_precision: No nonzero ASD difference is defined, so no discriminatory precision is assigned. source_reference: Chapter 3 / 第三章 · §IV.1–2; (3.26)–(3.31) - id: em-test-moving-charge-field name: High-speed moving-charge field category: POTENTIALLY DISCRIMINATING observed: Ota et al. published electro-optic spatiotemporal field measurements; raw observations have not been imported here. asd: Candidate reconstructions and flux checked; high-speed source and crystal-response mapping incomplete. established: The paper provides a standard retarded-potential comparison with bunch and detector conditions. numerical_difference: No closed quantitative ASD difference is available. interpretation_difference: True-space interaction precedes transverse field representation. distinguishes: Potential direction, not present validation. current_status: CASE STUDY — OPEN; complete comparison pending. evidence_status: UNTESTED required_precision: Determined by detector response, beam properties and calibration uncertainties. source_reference: Chapter 3 / 第三章 · §II.4, §VIII.3; Ota et al. (2022), DOI 10.1038/s41567-022-01767-w - id: em-test-synchrotron-orbit name: Synchrotron orbit category: POTENTIALLY DISCRIMINATING observed: Curvature, field calibration and beam momentum are target quantities; no new measured dataset is selected. asd: Chapter 2 supplies mechanical momentum; Chapter 3 requires a common source field, response and coordinate mapping. established: For a specified transverse magnetic field and circular orbit neglecting radiative loss, p=|q|BR. numerical_difference: No nondegenerate difference derived; an additional γ factor is not imposed as an established correction. interpretation_difference: True-space interaction precedes transverse field representation. distinguishes: Pending calculation; kinematic scaling alone does not decide. current_status: EVALUATE; an apparatus-specific orbit model remains incomplete. evidence_status: UNTESTED required_precision: To be calculated after field, trajectory, momentum and radiation treatment are aligned. source_reference: Chapter 3 / 第三章 · §I.3, §III, §VIII.3; Chapter 2 momentum - id: em-test-directional-electrostatics name: Directional electrostatic test category: POTENTIALLY DISCRIMINATING observed: Research proposal; no measurements in this module. asd: Investigate whether directional interactions leave a readout residual; not a calibrated prediction. established: Compute the standard expectation for the same shielding, grounding, mechanics and sources; do not assume every real apparatus has zero signal. numerical_difference: Amplitude, direction and background-velocity mapping undetermined. interpretation_difference: True-space interaction precedes transverse field representation. distinguishes: Only a nonzero measurable difference for the same apparatus can decide. current_status: PROPOSED; not an established canonical prediction. evidence_status: UNTESTED required_precision: Requires a signal model and noise budget. source_reference: Chapter 3 / 第三章 · §VIII.3; linked research proposal --- ## Evidence Scope This matrix separates mathematical reproduction in a specified model, physical interpretation of known phenomena and discriminating proposals requiring source and apparatus calculations. **Website construction is not counted as new experimental validation.** The REPRODUCED category identifies a formula reproduced within an effective model; observational evidence has a separate label. ## EM Experimental Matrix | Test | ASD role / calculation | Standard result | Current status | Distinguishing? | | --- | --- | --- | --- | --- | | Parallel moving charges | LVE plus the true inverse-square law gives FT/F₀=1−β² and a magnetic correction −β²F₀. | The standard co-moving transverse laboratory total force is F₀/γ; the leading low-speed magnetic coefficient agrees. | Derivation complete within the configuration; observational mapping open. | Undetermined; matching leading magnetic terms settles neither total-force degeneracy nor discrimination. | | Current–current force | The chosen effective sources and coupling give F/L=μ₀I₁I₂/(2πd). | Parallel currents attract and antiparallel currents repel, with the same long-wire formula. | Mathematical reproduction in the effective model; microscopic coarse graining remains open. | Not distinguishing here; a microscopic multicomponent derivation is a separate closure task. | | High-speed moving-charge field | Candidate reconstructions and flux checked; high-speed source and crystal-response mapping incomplete. | The paper provides a standard retarded-potential comparison with bunch and detector conditions. | CASE STUDY — OPEN; complete comparison pending. | Potential direction, not present validation. | | Synchrotron orbit | Chapter 2 supplies mechanical momentum; Chapter 3 requires a common source field, response and coordinate mapping. | For a specified transverse magnetic field and circular orbit neglecting radiative loss, p=|q|BR. | EVALUATE; an apparatus-specific orbit model remains incomplete. | Pending calculation; kinematic scaling alone does not decide. | | Directional electrostatic test | Investigate whether directional interactions leave a readout residual; not a calibrated prediction. | Compute the standard expectation for the same shielding, grounding, mechanics and sources; do not assume every real apparatus has zero signal. | PROPOSED; not an established canonical prediction. | Only a nonzero measurable difference for the same apparatus can decide. | ## Conditions of Each Record ## From Calculation to Evidence First fix a common measurand, source parameters, boundaries and background velocity. Calculate ASD and standard-model responses separately and use the same detector calibration and uncertainty budget. Name physical force, coordinate generalized force and instrument signal separately. Compare magnetic terms and total forces at the same approximation order. The [Ota high-γ case](/en/tests/case-studies/high-gamma-charge-field) remains open research. Directional electrostatics and synchrotron orbits are task entries, not established predictions with calculated amplitudes and sensitivity budgets. See [Ota et al. (2022)](https://www.nature.com/articles/s41567-022-01767-w) for the experiment and [Fitzpatrick](https://farside.ph.utexas.edu/teaching/jk1/Electromagnetism/node151.html) for the standard moving-charge comparison. Neither supplies hidden premises to the ASD derivation. ## Review and Source
This matrix follows the current Chapter 3. Special high-speed corrections, a unique synchrotron cone, the Schwinger limit, anomalous magnetic moments and strong-field QED topics are not established predictions here. Continue through [OP-EM-004](/en/open-problems/electromagnetism/high-gamma-discriminator).