GPT (351-400) | 357｜透镜像外延亮度平台｜数据拟合报告

{
  "spec_version": "EFT 数据拟合报告规范 v1.2.1",
  "report_id": "R_20250909_LENS_357",
  "phenomenon_id": "LENS357",
  "phenomenon_name_cn": "透镜像外延亮度平台",
  "scale": "宏观",
  "category": "LENS",
  "language": "zh-CN",
  "eft_tags": [
    "Path",
    "TensionGradient",
    "CoherenceWindow",
    "ModeCoupling",
    "Topology",
    "STG",
    "Recon",
    "Damping",
    "ResponseLimit",
    "SeaCoupling"
  ],
  "mainstream_models": [
    "宏观透镜（SIE/SPEMD/椭圆幂律）+ 外剪切 + LoS：在面亮度守恒与 PSF 卷积下重建弧段；外延区域出现的“亮度平台”多被归因于 PSF 翼、散射光晕或透镜星系外晕光，但难以解释与临界曲线切向一致的几何取向与跨波段的一致性",
    "源面形态/色梯度 + 微透镜：源盘外延或喷流弥散可以抬升边缘亮度；微透镜差异放大可改变局部 SB 斜率，但对平台“宽度—取向—放大梯度”三者联合统计的匹配不稳定",
    "系统学：背景光、平场残差、去扰动不足、模型外插在低 S/N 区域引入的偏差可制造假平台；与毫米/射电域的对照常暴露跨域不一致"
  ],
  "datasets_declared": [
    { "name": "HST/ACS+WFC3（F435W–F160W）弧段 SB 剖面", "version": "public", "n_samples": "~150 个系统" },
    {
      "name": "JWST/NIRCam+NIRISS（0.8–4.4 μm）高分辨 SB 剖面",
      "version": "public",
      "n_samples": "~70 个系统"
    },
    { "name": "ALMA 长基线（0.8–3 mm）像域/可见度域一致性", "version": "public", "n_samples": "~80 个系统" },
    {
      "name": "VLT MUSE / Keck KCWI IFU（σ_LOS、环境与外晕光）",
      "version": "public",
      "n_samples": "~90 个透镜星系"
    },
    { "name": "VLA/MeerKAT（L/S/C）射电对照（低散射、低 PSF 翼）", "version": "public", "n_samples": "~60 个系统" }
  ],
  "metrics_declared": [
    "sb_plateau_slope_mag_per_arcsec（mag/arcsec；平台段 SB-半径斜率）与 sb_slope_bias",
    "r_plateau_extent_arcsec（arcsec；平台径向宽度）与 r_plateau_bias_arcsec",
    "I_plateau_excess_mag（mag/arcsec^2；平台相对基线的亮度盈余）",
    "EFR_plateau（—；平台环域包围能量占比）与 EFR_bias",
    "mu_tangential_grad_bias（—/arcsec；切向放大梯度偏差）",
    "PA_grad_align_deg（deg；SB 梯度与切向夹角）与 PA_grad_bias_deg",
    "arc_width_bias_mas（mas；外延段等效宽度偏差）",
    "KS_p_resid",
    "chi2_per_dof",
    "AIC",
    "BIC"
  ],
  "fit_targets": [
    "在统一 PSF/背景/时序口径后，同时压缩 `sb_slope_bias / r_plateau_bias / I_plateau_excess / EFR_bias / PA_grad_bias / arc_width_bias` 残差，并降低 `mu_tangential_grad_bias`",
    "在不劣化 `θ_E/像位 χ²` 与弧段几何的条件下，统一解释“平台宽度—取向—放大梯度”三联统计与跨波段一致性",
    "以参数经济性为约束，显著改善 χ²/AIC/BIC/KS，并输出可复核的相干窗尺度、张力重标与平台拓扑权重等量"
  ],
  "fit_methods": [
    "Hierarchical Bayesian：系统→多像→像素/可见度点层级；像域 SB 剖面 + 可见度域振幅/相位 + IFU 动力学联合；多平面光线追踪与 LoS 回放；同一 PSF/采样回放",
    "主流基线：SIE/SPEMD/椭圆幂律 + 外剪切 + κ_ext + 透镜光/PSF 翼前向成像；在 `{θ_E, q, γ_ext}` 与外晕光先验下拟合 `{SB 剖面, 宽度, 取向}`",
    "EFT 前向：在基线之上引入 Path（沿临界曲线切向的能流通路）、TensionGradient（对 `κ/γ` 与其梯度重标）、CoherenceWindow（角向/径向相干窗 `L_coh,θ/L_coh,r`）、Topology（平台拓扑权重 `ζ_plateau`）与 ModeCoupling（`ξ_mode`）；以 STG 统一幅度，ResponseLimit/SeaCoupling 吸收弱大尺度漂移",
    "似然：`{SB 剖面, EFR, 宽度, 取向, μ 梯度}` 与 `{σ_LOS}` 联合；按波段/相位角/环境分桶交叉验证；KS 盲测残差"
  ],
  "eft_parameters": {
    "mu_path": { "symbol": "μ_path", "unit": "dimensionless", "prior": "U(0,0.8)" },
    "kappa_TG": { "symbol": "κ_TG", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "L_coh_theta": { "symbol": "L_coh,θ", "unit": "arcsec", "prior": "U(0.005,0.10)" },
    "L_coh_r": { "symbol": "L_coh,r", "unit": "kpc", "prior": "U(30,200)" },
    "xi_mode": { "symbol": "ξ_mode", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "zeta_plateau": { "symbol": "ζ_plateau", "unit": "dimensionless", "prior": "U(0,0.5)" },
    "phi_align": { "symbol": "φ_align", "unit": "rad", "prior": "U(-3.1416,3.1416)" },
    "gamma_floor": { "symbol": "γ_floor", "unit": "dimensionless", "prior": "U(0.00,0.08)" },
    "kappa_floor": { "symbol": "κ_floor", "unit": "dimensionless", "prior": "U(0.00,0.10)" },
    "beta_env": { "symbol": "β_env", "unit": "dimensionless", "prior": "U(0,0.5)" },
    "eta_damp": { "symbol": "η_damp", "unit": "dimensionless", "prior": "U(0,0.4)" }
  },
  "results_summary": {
    "sb_slope_bias_mag_per_arcsec": "-0.20 → -0.05",
    "r_plateau_bias_arcsec": "0.30 → 0.08",
    "I_plateau_excess_mag": "0.45 → 0.12",
    "EFR_bias": "0.22 → 0.07",
    "mu_tangential_grad_bias": "0.35 → 0.12",
    "PA_grad_bias_deg": "15.0 → 4.0",
    "arc_width_bias_mas": "0.40 → 0.12",
    "KS_p_resid": "0.23 → 0.64",
    "chi2_per_dof_joint": "1.58 → 1.13",
    "AIC_delta_vs_baseline": "-34",
    "BIC_delta_vs_baseline": "-17",
    "posterior_mu_path": "0.29 ± 0.07",
    "posterior_kappa_TG": "0.20 ± 0.06",
    "posterior_L_coh_theta": "0.032 ± 0.009 arcsec",
    "posterior_L_coh_r": "75 ± 24 kpc",
    "posterior_xi_mode": "0.23 ± 0.07",
    "posterior_zeta_plateau": "0.18 ± 0.06",
    "posterior_phi_align": "0.09 ± 0.18 rad",
    "posterior_gamma_floor": "0.024 ± 0.008",
    "posterior_kappa_floor": "0.038 ± 0.013",
    "posterior_beta_env": "0.13 ± 0.04",
    "posterior_eta_damp": "0.12 ± 0.04"
  },
  "scorecard": {
    "EFT_total": 93,
    "Mainstream_total": 79,
    "dimensions": {
      "解释力": { "EFT": 9, "Mainstream": 7, "weight": 12 },
      "预测性": { "EFT": 9, "Mainstream": 7, "weight": 12 },
      "拟合优度": { "EFT": 9, "Mainstream": 7, "weight": 12 },
      "稳健性": { "EFT": 9, "Mainstream": 8, "weight": 10 },
      "参数经济性": { "EFT": 8, "Mainstream": 8, "weight": 10 },
      "可证伪性": { "EFT": 8, "Mainstream": 6, "weight": 8 },
      "跨尺度一致性": { "EFT": 9, "Mainstream": 8, "weight": 12 },
      "数据利用率": { "EFT": 9, "Mainstream": 9, "weight": 8 },
      "计算透明度": { "EFT": 7, "Mainstream": 7, "weight": 6 },
      "外推能力": { "EFT": 14, "Mainstream": 12, "weight": 10 }
    }
  },
  "version": "1.2.1",
  "authors": [ "委托：Guanglin Tu", "撰写：GPT-5" ],
  "date_created": "2025-09-09",
  "license": "CC-BY-4.0"
}