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          "name": "Static atomic-clock height shift",
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          "established": "The same static weak-field clock ratio.",
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          "current_status": "Macroscopic consistency; no raw-data refit or microscopic atomic closure.",
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          "asd": "Integration of the full optical gradient gives 4G₀M/(c²b).",
          "established": "The same result for matching distant endpoints and weak-field order.",
          "numerical_difference": "NO — same order.",
          "interpretation_difference": "YES — spatial stretching and phase-path selection.",
          "distinguishes": "NO — weak field.",
          "current_status": "Analytic and chapter-number reproduction; no new optical/radio data fit.",
          "required_precision": "No nonzero model difference is defined, hence no precision threshold.",
          "source_reference": "Chapter 2 §IV.5, (2.43)–(2.50); JPL / IAU; Will (2014)",
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        {
          "id": "GRV-EXP-003",
          "name": "Shapiro / Cassini link",
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          "observed": "Near-Sun Cassini radio links recorded frequency and round-trip light-time changes.",
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          "established": "The same first-order delay after matching endpoints and order.",
          "numerical_difference": "NO — same in this static approximation.",
          "interpretation_difference": "YES — spatial accumulation of full reference optical length.",
          "distinguishes": "NO — at this order.",
          "current_status": "Analytic term reproduced; the illustration does not replace Cassini orbit, plasma and clock modeling.",
          "required_precision": "A real link needs an error budget; no unique-difference precision is defined.",
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          "established": "The same value for matching central field, parameters and first order.",
          "numerical_difference": "NO — same model and order.",
          "interpretation_difference": "YES — spatial-length and inertia-action construction.",
          "distinguishes": "NO — the current static spherical action is mathematically equivalent.",
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          "asd": "The adopted exterior gives r_ph = 3ℓ_g and b_c = 3√3ℓ_g; capture additionally requires absorption.",
          "established": "Schwarzschild static optics gives identical critical scales.",
          "numerical_difference": "NO — for the adopted static exterior optical path.",
          "interpretation_difference": "YES — continuum termination is a separately stated ontological hypothesis.",
          "distinguishes": "NO — for these scales themselves; other boundary responses remain undetermined.",
          "current_status": "Conditional mathematics; emission, transfer and instrument modeling remain unfinished.",
          "required_precision": "No image difference or error budget is established.",
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          "asd": "Determine new responses from master equations or boundary/rotation dynamics, then calculate shared apparatus readouts.",
          "established": "Compute a baseline using identical mass, distance, source structure, endpoints and order.",
          "numerical_difference": "TBD — neither second order nor strong field guarantees a difference.",
          "interpretation_difference": "Possible; identify the additional constitution and process response.",
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          "current_status": "Open research; higher-order expansion of the present static action and optics can remain identical.",
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        },
        {
          "label": "Jinnouchi, Asai & Kobayashi · Positronium decay (2003)",
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          "independent_derivation": "No; fixing a scale with me makes it an input.",
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          "evidence_status": "UNTESTED",
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          "established": "External experimental/theoretical benchmark, not an ASD premise.",
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          "current_status": "SU(2)/FR candidate route; no closed joint derivation of spin and statistics.",
          "independent_derivation": "No; a double cover alone is insufficient.",
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          "established": "External experimental/theoretical benchmark, not an ASD premise.",
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          "interpretation_difference": "Candidate ontology; quantitative response required.",
          "distinguishes": "No current independent distinguishing prediction; specify observable and uncertainty before testing.",
          "current_status": "No closed current, angular-momentum and correction calculation.",
          "independent_derivation": "No; Dirac or QED outputs are not ASD derivations.",
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          "source_reference": "Fan et al. · Electron magnetic moment (2023)"
        },
        {
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          "name": "Electron scattering scale",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
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          "asd": "Probe coupling and momentum-dependent amplitudes or form factors, with model and confidence interval.",
          "established": "External experimental/theoretical benchmark, not an ASD premise.",
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          "interpretation_difference": "Candidate ontology; quantitative response required.",
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          "current_status": "6π is an internal-winding candidate, not a computed spectrum.",
          "independent_derivation": "No; fitting both masses independently does not predict their ratio.",
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          "current_status": "No joint stable-core/probe solution; a trefoil drawing does not define charge radius.",
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        {
          "id": "mat-antiparticles",
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          "source_reference": "Jinnouchi, Asai & Kobayashi · Positronium decay (2003)"
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          "source_reference": "Davisson & Germer (1927) · Electron diffraction",
          "observed": "λ=h/P is the matter-wave target.",
          "asd": "Mechanical momentum and phase wavevector of the same structure.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "CONDITIONAL · Independent action and momentum matching remains open.",
          "independent_derivation": "Not closed; recovered after ℏ matching.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-diffraction",
          "name": "Electron diffraction",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Davisson & Germer (1927) · Electron diffraction",
          "observed": "Angular diffraction and its wavevector relation.",
          "asd": "Pattern geometry using actual boundaries, potential and incident spectrum.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "EFFECTIVE · Aperture solutions available; no new crystal-data fit here.",
          "independent_derivation": "Derived for a specified equation and boundaries; source and matching remain open.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-single-events",
          "name": "Single-particle two-path events",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Tonomura et al. (1989) · Single-electron interference",
          "observed": "Individual events build an interference pattern; the reference uses an electron biprism.",
          "asd": "Individual records, visibility and accumulated distribution in the actual apparatus.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "OPEN · Field fringes do not establish one record per excitation.",
          "independent_derivation": "No closed core–field–detector event derivation.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-uncertainty",
          "name": "Fourier uncertainty bound",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.3.23)–(5.3.26) · mathematical target, not an independent experiment",
          "observed": "Standard-deviation bound ΔxΔk≥1/2; the momentum bound requires p=ℏk.",
          "asd": "Width conventions, preparation and mapping to measured core momentum.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "DERIVED MATHEMATICS / CONDITIONAL PHYSICS.",
          "independent_derivation": "Fourier proof established; physical identification remains conditional.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-tunneling",
          "name": "Barrier transmission",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Binnig et al. (1982) · Scanning tunneling microscopy",
          "observed": "Effective T(E,V₀,a) is a recovery target; STM is an application reference.",
          "asd": "Flux ratio for a specified barrier and transmission/reflection of core events.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "EFFECTIVE / OPEN · Envelope calculable; core transport unresolved.",
          "independent_derivation": "Linear effective boundary solution derived; no independent core transport.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-born",
          "name": "Born statistics",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Tonomura et al. (1989) · Single-electron interference",
          "observed": "Normalized squared-modulus position statistics with a specified detection protocol.",
          "asd": "Calibrated rates, one record per excitation and statistical universality.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "OPEN · Conditional linear-absorption origin available.",
          "independent_derivation": "No universal proof; sampling an assumed target is not a derivation.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
        },
        {
          "id": "qm-mass-scaling",
          "name": "Mass and neutral-composite scaling",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Arndt et al. (1999) · C₆₀ interference",
          "observed": "Neutral composites also show matter-wave interference.",
          "asd": "Correct center-of-mass wavevector–momentum–mass scaling at fixed shared parameters.",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "TO EVALUATE · Conditional center-of-mass separation; no joint cross-species ASD calculation.",
          "independent_derivation": "Separation follows from a given effective many-body envelope; its general local-field origin is not closed.",
          "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
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      "date_published": "2026-09-16",
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          "path": "/en/tests/reproducibility",
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          "en": "Reproducibility"
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          "label": "Wolf et al. (2006), Cold Atom Clock Test of Lorentz Invariance in the Matter Sector",
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          "label": "BACON Collaboration (2021), optical frequency ratio network",
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          "path": "/en/theory/space-dynamics/longitudinal-field",
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          "en": "Longitudinal field"
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          "path": "/en/theory/space-dynamics/transverse-field",
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          "en": "Wave propagation"
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          "en": "Longitudinal waves"
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          "url": "https://www.bipm.org/en/si-base-units/metre"
        },
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          "label": "LIGO / Virgo / Fermi / INTEGRAL · arXiv:1710.05834",
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          "url": "https://arxiv.org/abs/1710.05834"
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      ],
      "outline": [
        "Classification and evidence status",
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        "Gravitational-wave and light arrival constraint",
        "Free longitudinal spatial-wave search",
        "Longitudinal–transverse conversion",
        "High-field nonlinearity constraints",
        "Directional metrological response",
        "Next data work"
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          "name": "Transverse propagation speed",
          "category": "CONSISTENCY",
          "evidence_status": "CONSISTENT",
          "source_reference": "BIPM · SI base unit: metre",
          "observed": "The SI metre fixes the vacuum speed of light; the definition is not a measurement of ASD microscopic dynamics.",
          "asd": "Match $K_T/\\rho_s=c^2$ in the effective vacuum.",
          "established": "Vacuum Maxwell theory has transverse radiation at light speed.",
          "numerical_difference": "No new numerical difference in the matched limit; coefficients are not independently derived.",
          "interpretation_difference": "Represents transverse radiation through spatial state variables.",
          "distinguishes": "NOT YET DISCRIMINATING · Matching does not select a microscopic model.",
          "current_status": "Consistency condition, not independent verification.",
          "required_precision": "Derive a deviation and observable before specifying sensitivity."
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          "category": "CONSTRAINT",
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          "source_reference": "LIGO / Virgo / Fermi / INTEGRAL · arXiv:1710.05834",
          "observed": "GW170817 and GRB 170817A arrived 1.74±0.05 seconds apart; source-emission assumptions give a relative speed-difference bound of about −3×10⁻¹⁵ to 7×10⁻¹⁶.",
          "asd": "An ASD mode representing observed gravitational waves must satisfy propagation and source constraints; that mapping is incomplete here.",
          "established": "General relativity has tensor gravitational radiation; multimessenger observations constrain propagation.",
          "numerical_difference": "No independent ASD arrival-time calculation is supplied.",
          "interpretation_difference": "Longitudinal displacement and tensor polarization are different degrees of freedom.",
          "distinguishes": "NOT YET DISCRIMINATING · This is not detection of a free scalar longitudinal wave.",
          "current_status": "External propagation constraint; ASD mapping incomplete.",
          "required_precision": "Requires a joint source-delay, distance, propagation and detector analysis."
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        {
          "id": "SD-TEST-free-longitudinal",
          "name": "Free longitudinal spatial-wave search",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 §4.4 · OP-SD-005",
          "observed": "No confirmed detection is included in this module.",
          "asd": "Derive a distinctive readout from source, propagation and receiver coupling.",
          "established": "Compare ordinary electromagnetic, mechanical, acoustic and thermal responses in the same configuration.",
          "numerical_difference": "Source strength and receiver coefficients are unspecified; no numerical prediction yet.",
          "interpretation_difference": "Proposed longitudinal channel, distinct from static fields and an unproved neutrino identification.",
          "distinguishes": "PROPOSED · Distinction awaits a unique response and independent parameters.",
          "current_status": "OP-SD-005 · Full proposal required.",
          "required_precision": "Pending transfer function and noise budget; no invented threshold."
        },
        {
          "id": "SD-TEST-mode-conversion",
          "name": "Longitudinal–transverse conversion",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.4.19)–(5.4.21)",
          "observed": "No specific ASD mode-conversion measurement is included.",
          "asd": "Use reciprocal $g_{LT}$ coupling to calculate phase matching, background dependence and readout.",
          "established": "Ordinary nonlinear optics and material effects can produce conversion backgrounds.",
          "numerical_difference": "No conversion rate from independent parameters.",
          "interpretation_difference": "Candidate exchange between spatial sectors; not automatically ordinary material mode conversion.",
          "distinguishes": "PROPOSED · Requires a feature separating conventional backgrounds.",
          "current_status": "OP-SD-001 / 006 · Coupling and sources remain open.",
          "required_precision": "Pending coefficients, coherence length, frequency and noise model."
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        {
          "id": "SD-TEST-nonlinear-fields",
          "name": "High-field nonlinearity constraints",
          "category": "CONSTRAINT",
          "evidence_status": "UNTESTED",
          "source_reference": "ATLAS · Observation of light-by-light scattering (2019)",
          "observed": "ATLAS observed light-by-light scattering in ultraperipheral heavy-ion collisions.",
          "asd": "A specific ASD interaction needs an independent calculation for the same cross section, energy range and polarization definitions.",
          "established": "QED already includes this electromagnetic nonlinearity.",
          "numerical_difference": "No ASD cross-section difference or data fit is calculated here.",
          "interpretation_difference": "Additional L–T coupling must be separated from established QED effects.",
          "distinguishes": "NOT YET DISCRIMINATING · Not evidence of a free longitudinal wave.",
          "current_status": "External consistency constraint, not an ASD verification.",
          "required_precision": "First derive a quantitative deviation and systematic-error model for the same observable."
        },
        {
          "id": "SD-TEST-directional-metrology",
          "name": "Directional metrological response",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.1.3)–(5.1.11) · OP-SD-004",
          "observed": "No directional anomaly dataset or new fit is supplied.",
          "asd": "Compute directional frequency ratios or phases from the full microscopic model, including reference rulers and clocks.",
          "established": "Include stress, temperature, motion, instrumental anisotropy and established-theory response.",
          "numerical_difference": "The FCC scalar second moment can be isotropic; higher-order dispersion is not directly an instrument signal.",
          "interpretation_difference": "Candidate microscopic directionality requires continuum and detector mappings.",
          "distinguishes": "PROPOSED · No distinguishing quantitative prediction yet.",
          "current_status": "OP-SD-004 / 005 · Microscopic-to-readout connection pending.",
          "required_precision": "Pending scale, directional terms, reference cancellation and noise budget."
        }
      ],
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          "numerical_difference": "The shared transverse redshift or second-order relation can agree. Arbitrary-angle equivalence still requires source–receiver and angle mapping and has not been asserted.",
          "interpretation_difference": "YES · ASD interprets the shift through a change in wavelength as a length quantity.",
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          "numerical_difference": "The refractive-index dependence of the direct substitution has not been aligned with the standard medium model. Numerical agreement cannot be claimed.",
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          "source_reference": "Chapter 1, Sections 3.4–3.5, medium application of Eq. (1.38); reference [15]"
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          "established": "Standard relativity calculates laboratory survival using proper lifetime, speed and momentum distributions. An ideal constant-speed mean path includes γ.",
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      "id": "ASD-DOC-RESEARCH-RESEARCH-LEDGER-2026-09-12-CONTENT-SYSTEM",
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        "kind": "内容系统更新",
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      "canonical": false,
      "source_tier": "research-ledger",
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      "source_tier": "research-ledger",
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          "en": "Magnetic field"
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      "review_note": "推导以前文列明的构成输入与适用域为条件；正式来源状态与实验证实分别记录。",
      "evidence_note": "证据按电磁实验矩阵逐项记录；本轮未新增实验拟合。",
      "experiments": [
        {
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          "name": "平行运动电荷",
          "category": "REINTERPRETED",
          "observed": "本轮没有新的两电荷实验数据或装置响应拟合。",
          "asd": "LVE 与真值逆平方律给出 FT/F₀=1−β²，磁差额为 −β²F₀。",
          "established": "同速横向标准实验室总力为 F₀/γ；低速磁项主系数相同。",
          "numerical_difference": "不同定义的总力存在标度差；Fr=F₀/γ 数值相同，尚须统一读数。",
          "interpretation_difference": "从真值空间作用进入横向场表示。",
          "distinguishes": "未定；低速磁项相同不自动说明总力退化或区分。",
          "current_status": "构型内数学推导完成；观测映射开放。",
          "evidence_status": "UNTESTED",
          "required_precision": "待装置、背景速度和读数映射确定；不指定未计算的阈值。",
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        },
        {
          "id": "em-test-current-current-force",
          "name": "电流—电流作用",
          "category": "REPRODUCED",
          "observed": "采用已知长直稳恒导线规律作为比较目标；本站未做新的实验复现。",
          "asd": "所选有效源与耦合得到 F/L=μ₀I₁I₂/(2πd)。",
          "established": "同向电流吸引、反向排斥，长导线极限有同一公式。",
          "numerical_difference": "该有效模型及条件内无数值差值。",
          "interpretation_difference": "从真值空间作用进入横向场表示。",
          "distinguishes": "此处不能区分；微观两组分推导是另一个闭合任务。",
          "current_status": "有效模型内数学再现；微观粗粒化仍需推进。",
          "evidence_status": "CONSISTENT",
          "required_precision": "当前无非零 ASD 差值目标；不得为零差值指定区分精度。",
          "source_reference": "Chapter 3 / 第三章 · §IV.1–2; (3.26)–(3.31)"
        },
        {
          "id": "em-test-moving-charge-field",
          "name": "高速运动电荷场",
          "category": "POTENTIALLY DISCRIMINATING",
          "observed": "Ota 等已发表时空电场的电光采样；本站尚未导入原始观测序列。",
          "asd": "已核对两种候选重建与通量；高速源和晶体响应映射未完成。",
          "established": "论文提供标准推迟势与束团/探测条件下的比较。",
          "numerical_difference": "没有已闭合的 ASD 定量差值。",
          "interpretation_difference": "从真值空间作用进入横向场表示。",
          "distinguishes": "潜在方向；不是当前验证。",
          "current_status": "CASE STUDY — OPEN；完整比较待计算。",
          "evidence_status": "UNTESTED",
          "required_precision": "由实际响应函数、束流与标定不确定度决定。",
          "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": "同步加速器轨道",
          "category": "POTENTIALLY DISCRIMINATING",
          "observed": "轨迹曲率、磁场标定与束流动量是拟比较量；未选择新的实测数据集。",
          "asd": "第二章提供机械动量；第三章要求接入同一源场、响应与坐标关系。",
          "established": "在指定横向磁场、忽略辐射损失的圆轨道近似中 p=|q|BR。",
          "numerical_difference": "未导出非退化差值；不引入额外 γ 因子作为既成修正。",
          "interpretation_difference": "从真值空间作用进入横向场表示。",
          "distinguishes": "待计算；不能由运动学尺度单独判定。",
          "current_status": "EVALUATE；轨道装置模型尚未闭合。",
          "evidence_status": "UNTESTED",
          "required_precision": "待源场、轨迹、动量和辐射处理相容后计算。",
          "source_reference": "Chapter 3 / 第三章 · §I.3, §III, §VIII.3; Chapter 2 momentum"
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        {
          "id": "em-test-directional-electrostatics",
          "name": "方向静电实验",
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          "asd": "检验一般方向的空间作用是否留下装置读数残差；不是已定标的预测。",
          "established": "需为同一屏蔽、接地、机械和源配置计算标准预期；不预设任意实际装置为零。",
          "numerical_difference": "幅度、方向和背景速度关系尚未确定。",
          "interpretation_difference": "从真值空间作用进入横向场表示。",
          "distinguishes": "只有得到非零且可测的同装置差值后才能判断。",
          "current_status": "PROPOSED；不列为已完成的 canonical prediction。",
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          "required_precision": "待信号模型和噪声预算确定。",
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      "canonical_scope": "第二章 · 宏观构成理论",
      "source_chapter": "第二章 空间静态各向异性",
      "source_reference": "Chapter 2 / 第二章 §§I, IV–V, pp. 1–5, 11–25",
      "source_version": "FND-3dde8d8e081d",
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          "id": "CH2-f9598318d123",
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      "source_manifest": "foundations-source-manifest.json",
      "source_manifest_url": "/downloads/ASD_Foundations_Source_Manifest.json",
      "last_reviewed": "2026-09-14",
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        "/theory/gravity/gravitational-redshift",
        "/theory/gravity/light-deflection",
        "/theory/gravity/shapiro-delay",
        "/theory/gravity/orbital-dynamics",
        "/theory/gravity/compact-objects"
      ],
      "related": [
        "/theory/gravity",
        "/theory/gravity/gravitational-redshift",
        "/theory/gravity/light-deflection",
        "/theory/gravity/shapiro-delay",
        "/theory/gravity/orbital-dynamics",
        "/theory/gravity/compact-objects"
      ],
      "open_problems": [
        "/open-problems/gravity/strong-field-closure",
        "/open-problems/gravity/orbital-discriminator",
        "/open-problems/gravity/rotating-background",
        "/open-problems/gravity/source-coupling"
      ],
      "equations": [
        "grv-frequency-ratio",
        "grv-deflection",
        "grv-delay-distance",
        "grv-precession",
        "grv-photon-sphere",
        "grv-shadow"
      ],
      "sources": [
        {
          "label": "CH2-f9598318d123 · 第二章-ASD理论-修订书稿 (2).pdf",
          "kind": "supplied-final-manuscript"
        },
        {
          "label": "Bothwell et al., Nature 602, 420–424 (2022)",
          "url": "https://www.nature.com/articles/s41586-021-04349-7",
          "kind": "external-reference"
        },
        {
          "label": "Will (2014), The Confrontation between General Relativity and Experiment",
          "url": "https://arxiv.org/abs/1403.7377",
          "kind": "external-reference"
        },
        {
          "label": "NASA/JPL · Astrodynamic Parameters",
          "url": "https://ssd.jpl.nasa.gov/astro_par.html",
          "kind": "external-reference"
        },
        {
          "label": "IAU 2015 Resolution B3",
          "url": "https://arxiv.org/abs/1510.07674",
          "kind": "external-reference"
        },
        {
          "label": "NASA/JPL · Cassini radio-science experiment (2003)",
          "url": "https://www.jpl.nasa.gov/news/saturn-bound-spacecraft-tests-einsteins-theory/",
          "kind": "external-reference"
        }
      ],
      "outline": [
        "如何阅读实验矩阵 · Reading the Matrix",
        "Gravity Tests Matrix",
        "REPRODUCED · 结果再现",
        "REINTERPRETED · 同一观测的物理构建",
        "POTENTIALLY DISCRIMINATING · 待建立的区分检验",
        "数据、范围与来源 · Data and Sources"
      ],
      "seo_title": "引力实验关系与检验矩阵 | 各向异性空间动力学",
      "canonical_url": "https://asd-physics.org/tests/gravity",
      "translation_path": "/en/tests/gravity",
      "mathematical_review": "CONDITIONAL",
      "review_path": "/theory/gravity#review-notes",
      "review_note": "结果以尺度、路径及耦合构成输入为条件；数学结果再现与微观闭合分别记录。",
      "evidence_note": "证据按实验矩阵逐项记录；Canonical 表示正式来源，不等同于实验已证明。",
      "experiments": [
        {
          "id": "GRV-EXP-001",
          "name": "静态原子钟高度频移",
          "category": "REINTERPRETED",
          "observed": "Bothwell 等报告毫米尺度锶样品中的引力频率梯度。",
          "asd": "由 Ω 与标准过程响应得到 Δf/f = ΔΨ/c²。",
          "established": "同一弱场静态钟比值。",
          "numerical_difference": "NO — 当前阶数相同。",
          "interpretation_difference": "YES — 空间／波长响应与固有时构建不同。",
          "distinguishes": "NO — 同一频率比不选择物理本体。",
          "current_status": "宏观关系一致；未重新拟合原始数据，微观原子耦合未闭合。",
          "required_precision": "本页无独立差值，不给区分精度。",
          "source_reference": "Chapter 2 §I, (2.2a); Bothwell et al. (2022)",
          "evidence_status": "CONSISTENT"
        },
        {
          "id": "GRV-EXP-002",
          "name": "弱场光线偏折",
          "category": "REPRODUCED",
          "observed": "光线偏折为标准引力观测量；本章以太阳掠射计算给出约 1.75 角秒。",
          "asd": "完整光程梯度积分给 4G₀M/(c²b)。",
          "established": "同一远端点和弱场精度下给相同值。",
          "numerical_difference": "NO — 同阶相同。",
          "interpretation_difference": "YES — 空间拉伸与相位寻径。",
          "distinguishes": "NO — weak field.",
          "current_status": "解析式与书稿数值复算；没有新的射电或光学数据拟合。",
          "required_precision": "未定义非零模型差值，不指定精度门槛。",
          "source_reference": "Chapter 2 §IV.5, (2.43)–(2.50); JPL / IAU; Will (2014)",
          "evidence_status": "CONSISTENT"
        },
        {
          "id": "GRV-EXP-003",
          "name": "Shapiro / Cassini 链路",
          "category": "REPRODUCED",
          "observed": "Cassini 近太阳无线电链路记录频率及往返光行时变化。",
          "asd": "一程对数项系数 2G₀M/c³，静态往返约为两倍。",
          "established": "对齐端点及阶数后给相同一阶延迟。",
          "numerical_difference": "NO — 本页静态近似下相同。",
          "interpretation_difference": "YES — 完整参考光程的空间积累。",
          "distinguishes": "NO — at this order.",
          "current_status": "解析对数项再现；未用静态示例替代 Cassini 的轨道、等离子体和钟模型。",
          "required_precision": "真实实验需链路误差预算；尚无独有差值精度。",
          "source_reference": "Chapter 2 §IV.6, (2.51)–(2.58); NASA/JPL Cassini (2003)",
          "evidence_status": "CONSISTENT"
        },
        {
          "id": "GRV-EXP-004",
          "name": "水星中心场近日点进动",
          "category": "REPRODUCED",
          "observed": "水星轨道检验含中心场相对论性进动贡献；完整观测还含其他摄动。",
          "asd": "式（2.42）按书稿参数得约 0.1035 角秒／周、43.0 角秒／儒略世纪。",
          "established": "相同中心场、参数与一阶精度给相同值。",
          "numerical_difference": "NO — 同一模型与阶数。",
          "interpretation_difference": "YES — 空间长度与惯性作用量构建。",
          "distinguishes": "NO — 当前静态球对称作用量同形。",
          "current_status": "中心场计算复算；未提供独立星历拟合。",
          "required_precision": "须先得到不能被质量、距离或轨道参数吸收的差值。",
          "source_reference": "Chapter 2 §IV.1–3, (2.25)–(2.42); JPL; Will (2014)",
          "evidence_status": "CONSISTENT"
        },
        {
          "id": "GRV-EXP-005",
          "name": "静态光子球与临界阴影尺度",
          "category": "REPRODUCED",
          "observed": "本模块没有发布实际阴影图像或亮环拟合数据。",
          "asd": "给定静态外部律得 r_ph = 3ℓ_g，b_c = 3√3ℓ_g；捕获另需吸收边界。",
          "established": "Schwarzschild 静态光学给相同临界尺度。",
          "numerical_difference": "NO — 给定静态外部光程下相同。",
          "interpretation_difference": "YES — 边界终止为另行声明的本体假说。",
          "distinguishes": "NO — 这两个尺度本身；其他边界响应未定。",
          "current_status": "条件性数学结果；发射、转移和仪器模型未完成。",
          "required_precision": "未建立实际图像差值及误差预算。",
          "source_reference": "Chapter 2 §V.1–3, (2.59)–(2.71)",
          "evidence_status": "UNTESTED"
        },
        {
          "id": "GRV-EXP-006",
          "name": "高阶、边界及旋转的非退化观测量",
          "category": "POTENTIALLY DISCRIMINATING",
          "observed": "尚无本模块发布的独立差值或对应验证数据。",
          "asd": "先由母方程或边界／旋转动力学确定新的响应，再计算共同装置读数。",
          "established": "以相同质量、距离、源结构、端点与阶数计算基线。",
          "numerical_difference": "TBD — 不能由“二阶”或“强场”标签推定。",
          "interpretation_difference": "可能；必须明确新增构成和过程响应。",
          "distinguishes": "POTENTIALLY / PROPOSED TEST — 尚未证明存在可区分量。",
          "current_status": "开放研究任务；当前静态作用量及光程的高阶展开仍可同形。",
          "required_precision": "TBD — 差值模型与参数退化分析完成后确定。",
          "source_reference": "Chapter 2 §IV conclusion, §V.4–8; OP-GRV-001–004",
          "evidence_status": "UNTESTED"
        }
      ],
      "en": "Gravity · Experimental Relations and Tests",
      "status": "EFFECTIVE MODEL",
      "evidence": "UNTESTED",
      "used_by": [],
      "source_file": "tests/gravity.mdx",
      "document_purpose": "experimental",
      "document_purpose_label": "实验登记与比较计划",
      "canonical_identity_label": "是 · 正式理论基线",
      "scientific_status_applicable": true
    },
    {
      "id": "ASD-MAT-TESTS-MATTER",
      "path": "/tests/matter",
      "title": "物质：现象学验收要求",
      "category": "物质与拓扑",
      "summary": "十一项观测要求逐条记录：ASD 必须复现什么、已做什么、是否独立推导、能否区分。",
      "template": "test",
      "version": "1.0.0",
      "updated": "2026-09-16",
      "canonical": true,
      "source_tier": "canonical",
      "locale": "zh",
      "module_key": "matter-research",
      "module_navigation": [
        {
          "path": "/theory/matter",
          "label": "总览",
          "en": "Overview"
        },
        {
          "path": "/theory/matter/localization",
          "label": "局域化",
          "en": "Localization"
        },
        {
          "path": "/theory/matter/topological-matter",
          "label": "拓扑物质",
          "en": "Topology"
        },
        {
          "path": "/theory/matter/stability",
          "label": "稳定性",
          "en": "Stability"
        },
        {
          "path": "/theory/matter/mass",
          "label": "质量",
          "en": "Mass"
        },
        {
          "path": "/theory/matter/charge",
          "label": "电荷",
          "en": "Charge"
        },
        {
          "path": "/theory/matter/spin",
          "label": "自旋",
          "en": "Spin"
        },
        {
          "path": "/theory/matter/electron",
          "label": "电子候选",
          "en": "Electron"
        },
        {
          "path": "/theory/matter/proton",
          "label": "质子候选",
          "en": "Proton"
        },
        {
          "path": "/theory/matter/antimatter",
          "label": "反物质",
          "en": "Antimatter"
        },
        {
          "path": "/theory/matter/creation",
          "label": "创生",
          "en": "Creation"
        },
        {
          "path": "/theory/matter/annihilation",
          "label": "湮灭",
          "en": "Annihilation"
        },
        {
          "path": "/tests/matter",
          "label": "现象学要求",
          "en": "Requirements"
        }
      ],
      "canonical_scope": "正式研究框架；粒子理论尚未闭合",
      "source_chapter": "Chapter 4 / 第四章 · Chapter 5 / 第五章",
      "source_reference": "Ch. 4 §§4.2, 4.4; external references separately identified",
      "source_version": "MAT-d1034a344d58",
      "source_sha256": "d1034a344d5830113b6599e6941ee0d1a6d22872f18c593eccf87cf21ccf2a7e",
      "source_kind": "manifest",
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      ],
      "source_manifest": "matter-source-manifest.json",
      "source_manifest_url": "/downloads/ASD_Matter_Source_Manifest.json",
      "last_reviewed": "2026-09-16",
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        "/theory/matter/proton",
        "/theory/matter/creation",
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      "open_problems": [
        "/open-problems/matter/electron-solution",
        "/open-problems/matter/mass-generation",
        "/open-problems/matter/spin-statistics",
        "/open-problems/matter/proton-structure",
        "/open-problems/matter/mass-spectrum",
        "/open-problems/matter/creation-annihilation"
      ],
      "equations": [],
      "sources": [
        {
          "label": "CH4-9587f3c44d39 · 第四章-ASD空间本体论-出版整理稿.docx",
          "kind": "supplied-manuscript"
        },
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          "label": "CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
          "kind": "supplied-manuscript"
        },
        {
          "label": "CODATA 2022 · NIST",
          "url": "https://physics.nist.gov/cuu/pdf/wallet_2022.pdf",
          "kind": "external-reference"
        },
        {
          "label": "PDG 2025 · Electron",
          "url": "https://pdg.lbl.gov/2025/listings/rpp2025-list-electron.pdf",
          "kind": "external-reference"
        },
        {
          "label": "Fan et al. · Electron magnetic moment (2023)",
          "url": "https://arxiv.org/abs/2209.13084",
          "kind": "external-reference"
        },
        {
          "label": "OPAL · Photon-pair measurements at LEP",
          "url": "https://www.weizmann.ac.il/particle/gross/publications",
          "kind": "external-reference"
        },
        {
          "label": "CODATA 2022 full adjustment · NIST",
          "url": "https://physics.nist.gov/cuu/pdf/JPCRD2022CODATA.pdf",
          "kind": "external-reference"
        },
        {
          "label": "Burke et al. · Multiphoton pair production (1997)",
          "url": "https://link.aps.org/doi/10.1103/PhysRevLett.79.1626",
          "kind": "external-reference"
        },
        {
          "label": "Jinnouchi, Asai & Kobayashi · Positronium decay (2003)",
          "url": "https://arxiv.org/abs/hep-ex/0308030",
          "kind": "external-reference"
        }
      ],
      "outline": [
        "这是验收要求，不是 ASD 确认清单",
        "电子性质",
        "质子性质",
        "反粒子与反应",
        "怎样把一项要求变成检验"
      ],
      "seo_title": "物质：现象学验收要求 | 各向异性空间动力学",
      "canonical_url": "https://asd-physics.org/tests/matter",
      "translation_path": "/en/tests/matter",
      "mathematical_review": "INCOMPLETE",
      "evidence_note": "NOT YET UNIQUELY TESTED · 已知粒子性质是验收要求，不是候选拓扑的验证。",
      "experiments": [
        {
          "id": "mat-electron-mass",
          "name": "电子静止质量",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "CODATA 2022：9.1093837139(28) × 10⁻³¹ kg。",
          "asd": "完整构型的静止能量、平移惯性及引力响应；列清校准参数。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "已有能量与集体惯性框架；没有独立数值质量。",
          "independent_derivation": "没有；用 me 固定尺度属于输入。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "CODATA 2022 · NIST"
        },
        {
          "id": "mat-electron-charge",
          "name": "电子电荷",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "电子电荷取 −e；SI 中 e = 1.602176634 × 10⁻¹⁹ C 为精确定义值。",
          "asd": "整数拓扑到可测电流与远场通量的映射，并说明耦合归一化。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "有候选识别和条件性守恒；单位定义不验证机制。",
          "independent_derivation": "部分条件结果；物理识别与耦合仍为输入。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "CODATA 2022 · NIST"
        },
        {
          "id": "mat-electron-spin",
          "name": "电子自旋与统计",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "PDG 2025 电子列表：J = 1/2。交换统计也是粒子理论必须满足的要求。",
          "asd": "完整构型空间的旋转／交换路径与量子化，选出实际基态。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "SU(2) 与 FR 候选路线；未闭合自旋和统计联合推导。",
          "independent_derivation": "没有；双覆盖本身不足。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "PDG 2025 · Electron"
        },
        {
          "id": "mat-electron-moment",
          "name": "电子异常磁矩",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "Fan 等（2023）：g/2 = 1.00115965218059(13)，此处 g 取正的大小约定。",
          "asd": "由同一旋转带电构型算 g 及 ae = (g−2)/2，给出高阶与误差控制。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "未得到电流、角动量和量子修正的闭合计算。",
          "independent_derivation": "没有；不得把 Dirac 或 QED 输出当作 ASD 结果。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "Fan et al. · Electron magnetic moment (2023)"
        },
        {
          "id": "mat-electron-scattering",
          "name": "电子散射尺度",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "OPAL 的 LEP 双光子测量与 QED 相符，并在指定修正模型中限制新尺度；不是几何半径的直接测量。",
          "asd": "探针耦合、散射振幅或形状因子随动量转移的变化；注明模型和置信区间。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "缺少可散射的稳定 ASD 电子解；不把康普顿波长当作实测大小。",
          "independent_derivation": "没有独立 ASD 形状因子。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "OPAL · Photon-pair measurements at LEP"
        },
        {
          "id": "mat-proton-mass",
          "name": "质子静止质量",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "CODATA 2022：1.67262192595(52) × 10⁻²⁷ kg；mp/me = 1836.152673426(32)。",
          "asd": "共享本构参数下的质子与电子完整能量及质量比。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "6π 是内部绕转候选；未输出质量谱。",
          "independent_derivation": "没有；分别拟合两个质量不预测质量比。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "CODATA 2022 · NIST"
        },
        {
          "id": "mat-proton-moment",
          "name": "质子磁矩",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "CODATA 2022：μp/μN = 2.79284734463(82)。",
          "asd": "同一质子解的内部电流、角动量和外磁场响应。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "三通道电荷投影尚不是磁矩计算。",
          "independent_derivation": "没有独立 ASD 数值。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "CODATA 2022 full adjustment · NIST"
        },
        {
          "id": "mat-proton-radius",
          "name": "质子电荷半径",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "CODATA 2022 调整值：rp = 0.84075(64) fm；不同数据子集存在差异，需保留提取方法。",
          "asd": "与实验相同定义的电荷响应和形状因子斜率；比较提取假设。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "没有稳定核与探针的联合解；三叶图外形不定义电荷半径。",
          "independent_derivation": "没有；以半径定参数属于拟合。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "CODATA 2022 full adjustment · NIST"
        },
        {
          "id": "mat-antiparticles",
          "name": "反粒子对应",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "PDG 2025 汇集电子／正电子性质及质量比较约束。",
          "asd": "完整共轭规则下的反电荷、相应质量和磁响应，不用单纯镜像替代。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "有相反相位与拓扑图景；完整场共轭和响应待求。",
          "independent_derivation": "没有完整独立共轭解。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "PDG 2025 · Electron"
        },
        {
          "id": "mat-pair-production",
          "name": "电子对产生",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "Burke 等（1997）观测强激光／电子束条件下的正电子信号，解释为多光子成对过程。",
          "asd": "阈值、反冲、截面、偏振和角分布；纳入全部参与对象。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "阈值可由给定色散与守恒条件计算；核心形成和速率未求得。",
          "independent_derivation": "仅运动学条件结果；非 ASD 独有。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "Burke et al. · Multiphoton pair production (1997)"
        },
        {
          "id": "mat-annihilation",
          "name": "电子对湮灭",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "observed": "电子偶素衰变测量区分通道与寿命；静止自由电子对的两光子极限约为每条 511 keV。",
          "asd": "通道、选择定则、速率、能谱及能量闭合；纵向额外支路须计算。",
          "established": "外部实验与既有理论作为比较基准，不作为 ASD 隐藏前提。",
          "numerical_difference": "尚无独立差值计算。",
          "interpretation_difference": "候选本体解释；仍需定量响应。",
          "distinguishes": "目前没有独立的可区分预测；需先给观测量、差值和不确定度。",
          "current_status": "两光子运动学已有条件结果；反应动力学和分支比未闭合。",
          "independent_derivation": "仅守恒条件计算；不能据此声称湮灭率已复现。",
          "evidence_status": "UNTESTED",
          "required_precision": "按引用的观测定义与误差比较；尚未得到 ASD 差值对应的所需精度。",
          "source_reference": "Jinnouchi, Asai & Kobayashi · Positronium decay (2003)"
        }
      ],
      "en": "Matter: Phenomenological Requirements",
      "status": "OPEN",
      "evidence": "UNTESTED",
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      "summary": "Quantum Phenomena Foundation v1.0 · Canonical / Effective / Open. 七项要求，分别列出有效结果、独立推导与装置级区分能力。",
      "template": "test",
      "version": "1.0.0",
      "updated": "2026-09-22",
      "canonical": true,
      "source_tier": "canonical",
      "locale": "zh",
      "module_key": "quantum-research",
      "module_navigation": [
        {
          "path": "/theory/quantum",
          "label": "总览",
          "en": "Overview"
        },
        {
          "path": "/theory/quantum/accompanying-field",
          "label": "伴随场",
          "en": "Accompanying Field"
        },
        {
          "path": "/theory/quantum/matter-wave",
          "label": "物质波",
          "en": "Matter Wave"
        },
        {
          "path": "/theory/quantum/effective-wave-equation",
          "label": "有效方程",
          "en": "Effective Equation"
        },
        {
          "path": "/theory/quantum/interference-diffraction",
          "label": "干涉与衍射",
          "en": "Interference"
        },
        {
          "path": "/theory/quantum/uncertainty-probability",
          "label": "测不准",
          "en": "Uncertainty"
        },
        {
          "path": "/theory/quantum/detection-statistics",
          "label": "探测与统计",
          "en": "Detection"
        },
        {
          "path": "/theory/quantum/tunneling",
          "label": "隧穿",
          "en": "Tunneling"
        },
        {
          "path": "/tests/quantum",
          "label": "现象学要求",
          "en": "Requirements"
        }
      ],
      "canonical_scope": "正式研究框架；有效结果依赖明确条件",
      "source_chapter": "Chapter 5 / 第五章 · 出版整理稿",
      "source_reference": "Ch. 5 §§2–3; experimental references separately identified",
      "source_version": "QM-0accdcbe7725",
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      "source_records": [
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          "format": "docx"
        }
      ],
      "source_manifest": "quantum-source-manifest.json",
      "source_manifest_url": "/downloads/ASD_Quantum_Source_Manifest.json",
      "last_reviewed": "2026-09-16",
      "depends_on": [
        "/theory/quantum"
      ],
      "related": [
        "/theory/quantum"
      ],
      "open_problems": [
        "/open-problems/quantum/phase-momentum-locking",
        "/open-problems/quantum/effective-limit",
        "/open-problems/quantum/born-statistics",
        "/open-problems/quantum/tunneling-core-coupling",
        "/open-problems/quantum/experimental-discriminator"
      ],
      "equations": [],
      "sources": [
        {
          "label": "CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
          "kind": "supplied-manuscript"
        },
        {
          "label": "Davisson & Germer (1927) · Electron diffraction",
          "url": "https://link.aps.org/doi/10.1103/PhysRev.30.705",
          "kind": "external-reference"
        },
        {
          "label": "Tonomura et al. (1989) · Single-electron interference",
          "url": "https://pubs.aip.org/aapt/ajp/article/57/2/117/1040594/Demonstration-of-single-electron-buildup-of-an",
          "kind": "external-reference"
        },
        {
          "label": "Binnig et al. (1982) · Scanning tunneling microscopy",
          "url": "https://link.aps.org/doi/10.1103/PhysRevLett.49.57",
          "kind": "external-reference"
        },
        {
          "label": "Arndt et al. (1999) · C₆₀ interference",
          "url": "https://www.nature.com/articles/44348",
          "kind": "external-reference"
        }
      ],
      "outline": [
        "这是验收矩阵，不是新增的 ASD 验证",
        "逐项验收记录",
        "进入下一轮的门槛"
      ],
      "seo_title": "量子现象：现象学验收矩阵 | Quantum Phenomena Foundation v1.0 · ASD",
      "canonical_url": "https://asd-physics.org/tests/quantum",
      "translation_path": "/en/tests/quantum",
      "mathematical_review": "INCOMPLETE",
      "evidence_note": "NOT YET UNIQUELY TESTED · 已知波动现象是验收要求；独立源动力学与普适事件统计尚未闭合。",
      "experiments": [
        {
          "id": "qm-wavelength",
          "name": "de Broglie 波长",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Davisson & Germer (1927) · Electron diffraction",
          "observed": "λ=h/P 是物质波比较目标。",
          "asd": "同一结构的机械动量与相位波数。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "CONDITIONAL · 作用量／动量识别尚待独立建立。",
          "independent_derivation": "未闭合；使用 ℏ 匹配后可恢复。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-diffraction",
          "name": "电子衍射",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Davisson & Germer (1927) · Electron diffraction",
          "observed": "晶体衍射的角分布与波数关系。",
          "asd": "实际边界、势与入射谱下的几何图样。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "EFFECTIVE · 有孔径解；本站未重做晶体数据拟合。",
          "independent_derivation": "给定有效方程和边界后可推导；源和匹配未闭合。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-single-events",
          "name": "单粒子两路干涉事件",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Tonomura et al. (1989) · Single-electron interference",
          "observed": "逐个事件积累为干涉图样；参考实验为电子双棱镜。",
          "asd": "实际装置中的单次记录、可见度及累计分布。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "OPEN · 场条纹不决定一次一记录。",
          "independent_derivation": "尚无闭合的核—场—探测器事件推导。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-uncertainty",
          "name": "Fourier 测不准界",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.3.23)–(5.3.26) · mathematical target, not an independent experiment",
          "observed": "使用标准差的 ΔxΔk≥1/2；动量界以 p=ℏk 为条件。",
          "asd": "宽度约定、制备及核心动量测量映射。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "DERIVED MATHEMATICS / CONDITIONAL PHYSICS。",
          "independent_derivation": "Fourier 证明成立；物理识别仍有条件。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-tunneling",
          "name": "势垒透射",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Binnig et al. (1982) · Scanning tunneling microscopy",
          "observed": "有效理论的 T(E,V₀,a) 是恢复目标；STM 是应用参考。",
          "asd": "给定势垒的流比，以及核心事件的透射／反射。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "EFFECTIVE / OPEN · 包络可算，核心跨越未解。",
          "independent_derivation": "有效线性边值问题已推导；未独立导出核心传输。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-born",
          "name": "Born 统计",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Tonomura et al. (1989) · Single-electron interference",
          "observed": "归一化平方模位置统计及明确的探测协议。",
          "asd": "校准后事件率、一次一记录与统计普适性。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "OPEN · 已有线性吸收的条件性来源。",
          "independent_derivation": "没有普适证明；不得把目标分布写进采样器再称为推导。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        },
        {
          "id": "qm-mass-scaling",
          "name": "质量及中性复合物标度",
          "category": "PHENOMENOLOGICAL REQUIREMENT",
          "evidence_status": "UNTESTED",
          "source_reference": "Arndt et al. (1999) · C₆₀ interference",
          "observed": "中性复合物也有物质波干涉。",
          "asd": "固定共享参数下正确的质心波数—动量—质量关系。",
          "established": "Established wave/quantum result used as a comparison target.",
          "numerical_difference": "NOT YET CALCULATED",
          "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
          "distinguishes": "NO / NOT YET",
          "current_status": "TO EVALUATE · 有条件性质心分离，尚无跨物种 ASD 联合计算。",
          "independent_derivation": "给定有效多体包络可分离；一般局域场到该包络的来源未闭合。",
          "required_precision": "待固定装置、数据集、ASD 差值及理论误差后确定；本轮不虚构数字。"
        }
      ],
      "date_published": "2026-09-16",
      "metadata_reviewed": "2026-09-22",
      "en": "Quantum Phenomena: Requirements Matrix",
      "status": "OPEN",
      "evidence": "UNTESTED",
      "used_by": [
        "/open-problems/quantum/experimental-discriminator",
        "/research/research-ledger/2026-09-16-quantum"
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      "source_file": "tests/quantum.mdx",
      "document_purpose": "experimental",
      "document_purpose_label": "实验登记与比较计划",
      "canonical_identity_label": "是 · 正式理论基线",
      "scientific_status_applicable": true
    },
    {
      "path": "/tests/reinterpreted-results",
      "title": "同一观测，不同物理解释",
      "category": "实验与检验",
      "summary": "当预测数值相同时，实验限定共同结果，却不能单独选择其中一种解释。",
      "related": [
        "/overview/asd-and-established-physics",
        "/tests/discriminating-tests"
      ],
      "id": "ASD-DOC-TESTS-REINTERPRETED-RESULTS",
      "template": "document",
      "version": "1.1",
      "updated": "2026-09-12",
      "canonical": false,
      "source_tier": "website-guide",
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      "sources": [
        {
          "label": "ASD 建站蓝图与页面模板（用户提供）",
          "kind": "supplied-blueprint"
        }
      ],
      "locale": "zh",
      "translation_path": "/en/tests/reinterpreted-results",
      "en": "Reinterpreted Results",
      "status": "EFFECTIVE MODEL",
      "evidence": "CONSISTENT",
      "used_by": [],
      "source_file": "tests/reinterpreted-results.mdx",
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      "document_purpose_label": "实验登记与比较计划",
      "canonical_identity_label": "否 · 网站导读",
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    },
    {
      "path": "/tests/reproduced-results",
      "title": "已有结果的复现路径",
      "category": "实验与检验",
      "summary": "ASD 书稿对若干已知弱场结果报告了再现；独立复算需要公开完整的输入与计算。",
      "related": [
        "/theory/gravity/light-deflection",
        "/theory/gravity/shapiro-delay",
        "/research/code"
      ],
      "id": "ASD-DOC-TESTS-REPRODUCED-RESULTS",
      "template": "document",
      "version": "1.1",
      "updated": "2026-09-12",
      "canonical": false,
      "source_tier": "website-guide",
      "depends_on": [],
      "open_problems": [],
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      "sources": [
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          "label": "ASD 建站蓝图与页面模板（用户提供）",
          "kind": "supplied-blueprint"
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      ],
      "locale": "zh",
      "translation_path": "/en/tests/reproduced-results",
      "en": "Reproduced Results",
      "status": "EFFECTIVE MODEL",
      "evidence": "REPRODUCED",
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      "scientific_status_applicable": true
    },
    {
      "id": "ASD-EXP-TESTS-REPRODUCIBILITY",
      "path": "/tests/reproducibility",
      "title": "实验预测的复现标准",
      "category": "实验研究计划",
      "summary": "把来源、方程、输入、代码、环境、期望输出和失败条件变成每一条预测的固定交付。",
      "template": "test",
      "version": "1.0.0",
      "updated": "2026-09-22",
      "date_published": "2026-09-22",
      "canonical": false,
      "source_tier": "published",
      "locale": "zh",
      "module_key": "experimental-program",
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        {
          "path": "/tests",
          "label": "实验计划",
          "en": "Program"
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        {
          "path": "/tests/predictions",
          "label": "预测登记",
          "en": "Registry"
        },
        {
          "path": "/tests/falsification",
          "label": "证伪范围",
          "en": "Falsification"
        },
        {
          "path": "/tests/priority-experiments",
          "label": "优先实验",
          "en": "Priorities"
        },
        {
          "path": "/tests/reproducibility",
          "label": "复现标准",
          "en": "Reproducibility"
        }
      ],
      "canonical_scope": "实验研究计划；不新增正式物理结论",
      "source_chapter": "Existing canonical module snapshots / 现有正式模块快照",
      "source_reference": "Predictions & Falsification v1.0 · review 2026-09-22",
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      "source_manifest": "predictions-source-manifest.json",
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        "/tests/predictions",
        "/tests/falsification",
        "/tests/priority-experiments"
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      "open_problems": [],
      "equations": [],
      "sources": [
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          "label": "Predictions source and scope manifest",
          "kind": "research-program",
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        {
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          "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"
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      ],
      "outline": [
        "复现不是再画一条曲线",
        "最小可复现记录",
        "参数冻结与比较纪律",
        "本轮可复现范围"
      ],
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      "mathematical_review": "INCOMPLETE",
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    },
    {
      "id": "ASD-SD--TESTS-SPACE-DYNAMICS",
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      "title": "空间动力学实验矩阵",
      "category": "空间动力学",
      "summary": "六类约束、一致性与实验提案；区分外部观测和 ASD 尚待计算的可测差异。",
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      "source_tier": "canonical",
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          "en": "Longitudinal field"
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          "label": "横向场",
          "en": "Transverse field"
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        {
          "path": "/theory/space-dynamics/wave-propagation",
          "label": "波传播",
          "en": "Wave propagation"
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        {
          "path": "/theory/space-dynamics/longitudinal-waves",
          "label": "自由纵波",
          "en": "Longitudinal waves"
        },
        {
          "path": "/theory/space-dynamics/longitudinal-transverse-coupling",
          "label": "纵横耦合",
          "en": "L–T coupling"
        },
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          "path": "/theory/space-dynamics/continuum-dynamics",
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          "en": "Continuum dynamics"
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        {
          "path": "/theory/space-dynamics/fcc-model",
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          "en": "FCC-like model"
        },
        {
          "path": "/theory/space-dynamics/master-equation",
          "label": "母方程前沿",
          "en": "Master equation"
        },
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          "path": "/tests/space-dynamics",
          "label": "实验矩阵",
          "en": "Tests"
        }
      ],
      "canonical_scope": "连续场基础；按具体结论标注状态",
      "source_chapter": "Chapter 4 / 第四章 · Chapter 5 / 第五章",
      "source_reference": "Ch. 4 §4.1; Ch. 5 §§4, 6",
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        "自由纵向空间波搜索",
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          "name": "横波传播速度",
          "category": "CONSISTENCY",
          "evidence_status": "CONSISTENT",
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          "observed": "SI 以固定真空光速定义米；该定义本身不是 ASD 微观动力学的测量。",
          "asd": "在有效真空中匹配 $K_T/\\rho_s=c^2$。",
          "established": "真空 Maxwell 理论具有光速横向辐射模。",
          "numerical_difference": "匹配极限没有新增数值差异；尚无独立系数推导。",
          "interpretation_difference": "把横波表示为空间状态自由度。",
          "distinguishes": "NOT YET DISCRIMINATING · 速度匹配不选择微观模型。",
          "current_status": "一致性条件；非独立验证。",
          "required_precision": "先导出偏差与观测量，不能由定义指定实验灵敏度。"
        },
        {
          "id": "SD-TEST-gw-speed",
          "name": "引力波与光的到达速度约束",
          "category": "CONSTRAINT",
          "evidence_status": "UNTESTED",
          "source_reference": "LIGO / Virgo / Fermi / INTEGRAL · arXiv:1710.05834",
          "observed": "GW170817 与 GRB 170817A 相隔 1.74±0.05 秒；源发射时延假设下，相对速度差约束约为 −3×10⁻¹⁵ 至 7×10⁻¹⁶。",
          "asd": "任何对应观测引力波的 ASD 模都须满足传播及源模型约束；本模块未完成该映射。",
          "established": "广义相对论具有张量引力辐射；多信使观测检验传播。",
          "numerical_difference": "未提供 ASD 到达时差的独立计算。",
          "interpretation_difference": "纵向位移模与张量偏振不是相同自由度。",
          "distinguishes": "NOT YET DISCRIMINATING · 不构成自由标量纵波探测。",
          "current_status": "外部传播约束；ASD 模型映射未完成。",
          "required_precision": "需要共同的源时延、距离、传播与探测响应分析。"
        },
        {
          "id": "SD-TEST-free-longitudinal",
          "name": "自由纵向空间波搜索",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 §4.4 · OP-SD-005",
          "observed": "本模块未收录确认探测。",
          "asd": "由源、波方程与接收耦合计算独特读出。",
          "established": "与普通电磁、机械、声学及热响应作同构型比较。",
          "numerical_difference": "源强和接收系数未定，暂无数值预测。",
          "interpretation_difference": "拟议额外纵向传播通道；不与静态场或中微子直接等同。",
          "distinguishes": "PROPOSED · 唯一响应与独立参数确定后才可判断。",
          "current_status": "OP-SD-005 · 待形成完整实验方案。",
          "required_precision": "待源—传播—接收传递函数及噪声预算；不虚构阈值。"
        },
        {
          "id": "SD-TEST-mode-conversion",
          "name": "纵横模转换",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.4.19)–(5.4.21)",
          "observed": "本模块没有特定 ASD 模转换测量。",
          "asd": "使用互易 $g_{LT}$ 耦合计算相位匹配、背景依赖和接收信号。",
          "established": "普通非线性光学与介质效应可产生转换背景。",
          "numerical_difference": "尚无从独立参数得到的转换率。",
          "interpretation_difference": "候选空间通道交换，不等同于普通介质模转换。",
          "distinguishes": "PROPOSED · 必须给出排除常规背景的特征。",
          "current_status": "OP-SD-001 / 006 · 耦合与源尚未闭合。",
          "required_precision": "待参数、相干长度、频率与噪声模型。"
        },
        {
          "id": "SD-TEST-nonlinear-fields",
          "name": "高场非线性约束",
          "category": "CONSTRAINT",
          "evidence_status": "UNTESTED",
          "source_reference": "ATLAS · Observation of light-by-light scattering (2019)",
          "observed": "ATLAS 在超周边重离子碰撞中观测到光光散射。",
          "asd": "特定 ASD 耦合须在相同截面、能区和偏振定义下给出独立计算。",
          "established": "QED 已包含此类光场非线性。",
          "numerical_difference": "本模块未计算 ASD 截面差异或拟合数据。",
          "interpretation_difference": "额外纵横耦合必须与已有量子电动力学效应区分。",
          "distinguishes": "NOT YET DISCRIMINATING · 不是自由纵波证据。",
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        },
        {
          "id": "SD-TEST-directional-metrology",
          "name": "方向性计量响应",
          "category": "PROPOSED TEST",
          "evidence_status": "UNTESTED",
          "source_reference": "Ch. 5 (5.1.3)–(5.1.11) · OP-SD-004",
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          "asd": "从完整微观模型计算频率比或相位随方向的响应，包含参考尺钟。",
          "established": "须包含材料应力、温度、运动、仪器各向异性与既有理论响应。",
          "numerical_difference": "FCC 标量二阶矩可各向同性；高阶色散不直接给出仪器信号。",
          "interpretation_difference": "候选微观方向性必须经过连续映射和探测器模型。",
          "distinguishes": "PROPOSED · 尚无可区分的定量预测。",
          "current_status": "OP-SD-004 / 005 · 待连接微观律与读出。",
          "required_precision": "待尺度、方向项、参考抵消和噪声预算。"
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          "aspect": "起点",
          "established": "相对性原理、真空光速不变与操作性的同步定义；标准惯性坐标下建立洛伦兹变换。",
          "asd": "从现代计量关系和光传播的定向长度实现出发，引入运动构型与正反向尺度配对。"
        },
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          "aspect": "横向尺度",
          "established": "沿 x 方向的标准洛伦兹变换保持 y、z 坐标不变；比较实际长度仍需说明测量程序。",
          "asd": "第一章给出 y′=γy、z′=γz，横向真值尺度 L′⊥=γL⊥；这一物理主张保留。"
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          "aspect": "γ 的来源",
          "established": "由标准变换的光传播条件与对称结构确定，进入时空量及其物理关系。",
          "asd": "由第一章式（1.7）—（1.9）的正反向构造与内积配对求得；具体归一化条件在推导页列明。"
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          "aspect": "时间解释",
          "established": "时钟沿自身路径积累固有时；运动时钟与指定坐标时间的关系具有可观测后果。",
          "asd": "把历时与频率差异归于有效路径、波长和物理过程长度的变化，不赋予独立时间实体以膨胀。"
        },
        {
          "aspect": "空间本体解释",
          "established": "用统一时空结构组织距离、同时性、传播与时钟关系；不要求空间存在绝对静止的实体背景。",
          "asd": "把运动关联的方向响应赋予真实空间长度关系；微观生成机制由后续空间动力学研究承担。"
        },
        {
          "aspect": "可能的实验区分",
          "established": "给出同一装置中的时间、频率、相位或计数预测作为比较基准。",
          "asd": "零差分或相同频移不单独区分；需完成介质光程、运钟或衰变的同装置预测再判断。"
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        "True Length",
        "Beyond Coordinates",
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        "Gamma and Process Time",
        "Established Framework vs ASD",
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        "Scope and Sources"
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      "title": "实验关系与检验",
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        "lve-muon",
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      "experiments": [
        {
          "id": "lve-test-mm",
          "name": "Michelson–Morley · 等臂干涉",
          "category": "REPRODUCED",
          "observed": "未观测到经典静止以太模型按地球公转速度预期的系统性条纹移动；“零结果”指相应差分信号的实验限度。",
          "asd": "第一章分别计算纵向与横向两程，均为 2γL/c，给出理想等臂零差分。",
          "established": "标准相对论同样给出理想装置的零方向差分。",
          "numerical_difference": "NO · 对这里比较的两臂零差分。",
          "interpretation_difference": "YES · ASD 使用方向长度与光程关系。",
          "distinguishes": "NO",
          "current_status": "书稿理想模型可复算；未重新拟合原始装置数据。",
          "evidence_status": "REPRODUCED",
          "required_precision": "本项没有提出非零差异预测；不能从共同因子单独设定区分精度。",
          "source_reference": "第一章 §3.2，式（1.26）—（1.30）；文献 [10]"
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        {
          "id": "lve-test-sagnac",
          "name": "Sagnac · 旋转闭合光路",
          "category": "REPRODUCED",
          "observed": "旋转闭合光路中的同向与反向传播产生相位／到达时刻差；原章引用 Sagnac 的干涉观测。",
          "asd": "由两向历时差和 R′=γR 得到 Δt=4ωS′/c²。",
          "established": "通常低速、指定面积的回路关系为 Δt≈4ωA/c²；精确结果必须区分所用的时间和面积。",
          "numerical_difference": "NO · 在面积、计时与低速近似对齐的常用形式下；全阶对应未完成。",
          "interpretation_difference": "YES · ASD 采用方向光程与运动关联面积。",
          "distinguishes": "NO · 仅就这里的共同面积形式。",
          "current_status": "复算面积形式；保留 R 与 R′ 及时间定义的对账条件。",
          "evidence_status": "CONSISTENT",
          "required_precision": "若研究高阶差异，先固定面积与计时方式并导出差值，再制定误差预算。",
          "source_reference": "第一章 §3.5，式（1.36）—（1.43）；文献 [16]"
        },
        {
          "id": "lve-test-doppler",
          "name": "Optical Doppler / Ives–Stilwell · 光学多普勒",
          "category": "REINTERPRETED",
          "observed": "Ives–Stilwell 测量运动原子辐射的前后向谱线组合，检验其中的二阶频移关系。",
          "asd": "由 λ′=λγ(1−βcosφ) 与 λ′f′=c 求频率；书稿横向情形 f′=f/γ。",
          "established": "SR 可给出相应二阶多普勒关系；发射系角度、接收系角度与光行差必须区分。",
          "numerical_difference": "共同的横向红移／二阶关系可相同；任意角度尚需源—接收角色和角度映射，未认定逐角相同。",
          "interpretation_difference": "YES · ASD 将频移解释为波长这一长度量的变化。",
          "distinguishes": "NO · 单凭共同的频移关系不能区分。",
          "current_status": "已保留书稿代数链；原实验的完整角度映射和谱线拟合尚待整理。",
          "evidence_status": "CONSISTENT",
          "required_precision": "没有从本章获得已对齐观测量的非零差异及目标精度。",
          "source_reference": "第一章 §3.1，式（1.21）—（1.25）；文献 [9]"
        },
        {
          "id": "lve-test-hoek",
          "name": "Hoek · 真空与介质光程",
          "category": "REINTERPRETED",
          "observed": "第一章转述 Hoek 实验未发现预期的一阶方向性条纹变化。",
          "asd": "以 nL 为有效光程，在 Lvac=nLmed 的简化配平条件下，两段模型给出相等往返历时。",
          "established": "标准介质传播与边界／相位处理同样解释相应零结果。",
          "numerical_difference": "NO · 对所述零结果；尚未完成原装置逐段的数值比较。",
          "interpretation_difference": "YES · ASD 以有效光程的长度矢量响应组织解释。",
          "distinguishes": "NO",
          "current_status": "简化模型已列出；与 Hoek 原装置拓扑及相位的对应需要人工复核。",
          "evidence_status": "CONSISTENT",
          "required_precision": "第一章未提出经完整装置模型确认的非零差异，未给目标精度。",
          "source_reference": "第一章 §3.3，式（1.31）—（1.35）；文献 [14]"
        },
        {
          "id": "lve-test-fizeau",
          "name": "Fizeau · 运动介质的相位差",
          "category": "POTENTIALLY DISCRIMINATING",
          "observed": "第一章引用流动水引起的干涉条纹变化，涉及介质速度与折射率依赖。",
          "asd": "书稿将介质光程纳入 LVE，并建议在式（1.38）中取 t=nL/c；未列出完整相位模型。",
          "established": "无色散的一阶速度合成给出 c/n+w(1−1/n²)；具体条纹还取决于装置各段与色散。",
          "numerical_difference": "直接代入的折射率依赖尚未与标准介质模型对齐；不能宣称数值相同。",
          "interpretation_difference": "YES · 解释的物理输入不同。",
          "distinguishes": "POTENTIALLY / PROPOSED TEST · 先完成同装置计算。",
          "current_status": "原章代入与介质传播系数的对应存在待解张力；未给出完整实验复现。",
          "evidence_status": "TENSION",
          "required_precision": "需先确定光路次数、L、w、n 与色散，得到预测差值后再填写。",
          "source_reference": "第一章 §3.4–§3.5，式（1.38）的介质应用；文献 [15]"
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        {
          "id": "lve-test-muon",
          "name": "Muon survival · 运动粒子的存活",
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          "asd": "按第一章式（1.45）—（1.46），L′=643m、β=0.998给出643√999m≈20323.276089m，保留一位小数20323.3m；示例输入不代表此实验精度。",
          "established": "标准相对论用固有寿命、速度与动量分布计算实验室存活率；恒速理想平均路径含 γ 因子。",
          "numerical_difference": "形式上 YES：反解因子为 γ(1+β)，并非 γ；两式是否指同一统计量必须先确认。",
          "interpretation_difference": "YES · ASD 归于过程路径变化，SR 采用固有时关系。",
          "distinguishes": "POTENTIALLY / PROPOSED TEST · 必须比较同一粒子群的存活分布。",
          "current_status": "书稿数值已复算；没有可宣称拟合成功的 ASD 通量或寿命分布。",
          "evidence_status": "TENSION",
          "required_precision": "需提供能谱、路径、损耗、效率及统计误差，第一章未给定目标精度。",
          "source_reference": "第一章 §3.6，式（1.44）—（1.46）；文献 [17]、[18]"
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          "id": "lve-test-clock",
          "name": "Transported clocks · 理想运钟与实际航行",
          "category": "POTENTIALLY DISCRIMINATING",
          "observed": "Hafele–Keating 报告不同航向的运钟与地面参考钟存在钟差；真实航行包含运动及重力条件。",
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          "established": "标准计算沿真实航迹累积运动与重力贡献；恒速无重力基准为 dτ/dt=√(1−β²)。",
          "numerical_difference": "形式上 YES：书稿表达式有速度的一阶项；同轨迹、同计时量的总钟差尚待对齐。",
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          "evidence_status": "UNTESTED",
          "required_precision": "先确定速度参考背景、完整航迹、总历时、同步及重力修正，再给出误差预算。",
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          "observed": "Bothwell 等（2022）在毫米尺度锶原子样品内测到与引力红移一致的频率梯度。",
          "asd": "第二章式（2.2）采用尺度—频率耦合，最终式（2.2a）给出精确静态频率比；一阶展开联系近地弱场频移。未重新拟合原始数据。",
          "established": "GR 在对应弱场和共同频率比较约定下给出 Δf/f ≈ ΔΨ/c²。",
          "numerical_difference": "NO · 本页采用的弱场关系在该阶相同。",
          "interpretation_difference": "YES · ASD 将变化归于空间尺度/波长与振荡过程。",
          "distinguishes": "NO",
          "current_status": "观测已发表；ASD 关系层面的解释与实验方向一致，装置级独立对账未完成。",
          "evidence_status": "CONSISTENT",
          "required_precision": "第二章没有给出该构型的 ASD–GR 预测差；不将实验分辨率当成区分 ASD 的所需精度。",
          "source_reference": "第二章式（2.2）—（2.2a），文献 [3]；Bothwell et al., Nature 602, 420–424 (2022). DOI: 10.1038/s41586-021-04349-7"
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          "name": "Transported clocks · 理想运钟与实际航行",
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          "observed": "Hafele–Keating 报告不同航向的运钟与地面参考钟存在钟差；真实航行包含运动及重力条件。",
          "asd": "第一章赤道匀速绕行的理想讨论给出 T′/T=√[(1−β)/(1+β)]。",
          "established": "标准计算沿真实航迹累积运动与重力贡献；恒速无重力基准为 dτ/dt=√(1−β²)。",
          "numerical_difference": "形式上 YES：书稿表达式有速度的一阶项；同轨迹、同计时量的总钟差尚待对齐。",
          "interpretation_difference": "YES · ASD 解释为过程长度变化。",
          "distinguishes": "POTENTIALLY / PROPOSED TEST",
          "current_status": "保留原式及低速形式检查；未将实际运钟观测写为式（1.47）的验证。",
          "evidence_status": "UNTESTED",
          "required_precision": "先确定速度参考背景、完整航迹、总历时、同步及重力修正，再给出误差预算。",
          "source_reference": "第一章 §3.6，式（1.47）；文献 [19]、[20]"
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        {
          "id": "time-test-cross-clock",
          "name": "不同钟种的共同背景响应",
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          "observed": "当前书稿没有提供同一协议下原子标准、光学腔与其他振荡器的联合数据表。",
          "asd": "先为各钟种建立尺度/跃迁/路径到频率和相位的响应，再求同背景的频率比。",
          "established": "用同一装置、环境和信号传递协议计算既有理论结果。",
          "numerical_difference": "尚不能判断；缺少完整 ASD 装置响应函数。",
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          "evidence_status": "UNTESTED",
          "required_precision": "在预测差值确定后，再给出钟噪声、比较链与系统误差预算。",
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