--- { "id": "ASD-EM-HIGH-GAMMA-CHARGE-FIELD-EN", "path": "/en/tests/case-studies/high-gamma-charge-field", "title": "High-γ Charge Field and EO Workbench", "title_en": "High-γ Charge Field and EO Workbench", "category": "Experimental Program", "summary": "P3 · ASD-PRED-003. Compare recorded detector signals rather than ideal source fields. The Ota case remains open.", "template": "test", "version": "1.0.0", "updated": "2026-09-22", "date_published": "2026-09-15", "canonical": false, "source_tier": "published", "theory_status": "OPEN", "evidence_status": "UNTESTED", "locale": "en", "module_key": "experimental-program", "module_navigation": [ { "path": "/en/tests", "label": "Program", "en": "Program" }, { "path": "/en/tests/predictions", "label": "Registry", "en": "Registry" }, { "path": "/en/tests/falsification", "label": "Falsification", "en": "Falsification" }, { "path": "/en/tests/priority-experiments", "label": "Priorities", "en": "Priorities" }, { "path": "/en/tests/reproducibility", "label": "Reproducibility", "en": "Reproducibility" } ], "canonical_scope": "Experimental program; not a new canonical physical result", "source_chapter": "Existing canonical module snapshots / 现有正式模块快照", "source_reference": "Predictions & Falsification v1.0 · review 2026-09-22", "source_version": "EXP-7ca61744dcd2", "source_sha256": "7ca61744dcd2129e7fcd6902223c71166f3ededeb84b599d544cb20dba88130a", "source_kind": "manifest", "source_manifest": "predictions-source-manifest.json", "source_manifest_url": "/downloads/ASD_Predictions_Source_Manifest.json", "last_reviewed": "2026-09-22", "depends_on": [ "/en/theory/electromagnetism/moving-charge-field" ], "related": [ "/en/tests", "/en/tests/predictions", "/en/tests/falsification", "/en/tests/priority-experiments", "/en/tests/reproducibility" ], "open_problems": [], "equations": [ "em-field-candidate", "em-potential-candidate", "em-response" ], "sources": [ { "label": "Predictions source and scope manifest", "kind": "research-program", "url": "/downloads/ASD_Predictions_Source_Manifest.json" }, { "label": "Ota et al. (2022), Nature Physics 18, 1436–1440", "url": "https://www.nature.com/articles/s41567-022-01767-w", "kind": "external-reference" }, { "label": "PDG (2024), Cosmic Rays review", "url": "https://pdg.lbl.gov/2024/reviews/rpp2024-rev-cosmic-rays.pdf", "kind": "external-reference" }, { "label": "Wolf et al. (2006), Cold Atom Clock Test of Lorentz Invariance in the Matter Sector", "url": "https://arxiv.org/abs/hep-ph/0601024", "kind": "external-reference" }, { "label": "BACON Collaboration (2021), optical frequency ratio network", "url": "https://www.nist.gov/publications/frequency-ratio-measurements-18-digit-accuracy-using-network-optical-clocks", "kind": "external-reference" }, { "label": "PDG 2024 electron listing", "url": "https://pdg.lbl.gov/2024/listings/rpp2024-list-electron.pdf", "kind": "external-reference" } ], "outline": [ "What the experiment records", "From source field to signal", "Strict limits of the current baseline", "Required joint calculation" ], "seo_title": "High-γ Charge Field and EO Workbench | ASD Predictions & Falsification v1.0", "canonical_url": "https://asd-physics.org/en/tests/case-studies/high-gamma-charge-field", "translation_path": "/tests/case-studies/high-gamma-charge-field", "mathematical_review": "INCOMPLETE", "evidence_note": "No closed quantitative discriminator; planning/comparison only.", "translation_of": "/tests/case-studies/high-gamma-charge-field", "translation_version": "1.0.0" } --- ## What the experiment records [Ota et al. (2022)](https://www.nature.com/articles/s41567-022-01767-w) studied spatiotemporal fields around a relativistic electron beam through optical modulation in electro-optic sampling. The paper specifies a 35 MeV beam and discusses possible instrumental causes of a measured peak below the calculation. That discrepancy is not ASD evidence. The paper states that data and code are available from the corresponding author on reasonable request. No raw time series, calibration files or complete reproduction code have been acquired here; no author contact or fit is claimed. ## From source field to signal An operational linear small-signal interface is $$S(t)=G\int d\tau\int d^3x\;R(t-\tau,\mathbf x;\eta)E_{\rm lab}(\mathbf x,\tau)+B(t).$$ This defines a response integral, not a new ASD field equation. $R$ contains crystal, laser and sampling response; $G$ is independently calibrated gain and $\eta$ instrument parameters. Nonlinear, dispersive or nonstationary responses require appropriate extensions. Each theory supplies $E_{\rm lab}$ through the same apparatus chain before comparing $S(t)$. Theory-dependent calibration must also be propagated. ## Strict limits of the current baseline The workbench computes only the standard normalized transverse field of a uniformly moving point charge, $[1+(\gamma\beta ct/b)^2]^{-3/2}$, followed by an assumed Gaussian temporal kernel. It omits the real 3D bunch, ZnTe dispersion, phase matching, reflections, conductor boundaries, irradiation and optical transfer. It checks how response changes a waveform; it is not an Ota reproduction. ## Required joint calculation First reproduce the paper's standard source and recorded signal; then independently calculate the general ASD moving source and laboratory mapping. Freeze bunch inputs, time zero, gain and noise covariance, and compare full waveform, width, sign and spatial scans. Do not multiply an EO readout by a co-moving parallel-charge force ratio. Advance [OP-EM-001](/en/open-problems/electromagnetism/moving-charge-field) and [OP-EM-004](/en/open-problems/electromagnetism/high-gamma-discriminator) separately. Reference constants: [PDG 2024 electron](https://pdg.lbl.gov/2024/listings/rpp2024-list-electron.pdf).