GPT (351-400) | 360｜透镜吸收的分子谱异常｜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_360",
  "phenomenon_id": "LENS360",
  "phenomenon_name_cn": "透镜吸收的分子谱异常",
  "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：以面亮度守恒重建连续谱放大场，再以经典辐射转移 `I_ν = I_ν,0 e^{-τ_ν}` 拟合分子吸收；将谱异常（位移、宽度、非对称与双峰）归因于源面速度场、饱和/部分覆盖与微透镜；频率依赖的差异放大与κ/γ 梯度耦合常被当作次级校正",
    "分子云系动力学/化学模型：以旋转盘/湍动云+多组分 τ_ν 叠加拟合 HCO+/HCN/CO/OH/CH 及同位素比；可解释部分宽度与位移差异，但对“与临界曲线切向取向相关的谱非对称”和跨物种/跨频带的一致性不足",
    "系统学：频段间带宽与通带边缘、绝对频率标定、基线/通道相关噪声、PSF 频差与可见度加权不一致可引入假异常；严格回放后仍常留 `v_centroid` 与 `R_doublet` 的系统性偏差"
  ],
  "datasets_declared": [
    {
      "name": "ALMA（Band 3/6/7）长基线吸收谱（CO/HCN/HCO+/OH/CS 等）",
      "version": "public",
      "n_samples": "~95 条谱线×多像系"
    },
    { "name": "NOEMA/IRAM 30m（毫米补充；同位素与高 J 级别）", "version": "public", "n_samples": "~70 条谱线" },
    { "name": "VLA（L/S/C）OH/HI 吸收与射电连续谱对照", "version": "public", "n_samples": "~60 条谱线" },
    { "name": "JWST/NIRSpec（近红外振转带；补充）", "version": "public", "n_samples": "~30 条谱线" },
    { "name": "MUSE/Keck IFU（σ_LOS 与环境密度；透镜星系约束）", "version": "public", "n_samples": "~80 个透镜星系" }
  ],
  "metrics_declared": [
    "v_centroid_bias_kms（km/s；线心速度偏差）",
    "fwhm_bias_kms（km/s；FWHM 宽度偏差）",
    "asymmetry_index（—；谱不对称指数）与 asymmetry_bias",
    "R_doublet_bias（—；分子双线强度比偏差）",
    "tau_peak_bias（—；峰值光学深度偏差）",
    "EW_bias_kms（km/s；等效宽度偏差）",
    "dV_species_bias_kms（km/s；物种间线心差偏差）",
    "mu_line_cont_slope（—/dex；线/连续谱差异放大斜率）",
    "time_var_amp_bias（—；季度尺度变幅偏差）",
    "KS_p_resid",
    "chi2_per_dof",
    "AIC",
    "BIC"
  ],
  "fit_targets": [
    "在统一频率标定/通道化/PSF 与可见度加权、同历元与带间时序口径后，同时压缩 `v_centroid/fwhm/asymmetry/R_doublet/tau_peak/EW/dV_species/mu_line_cont_slope/time_var_amp` 的偏差并提升 `KS_p_resid`",
    "在不劣化像位 χ² 与宏观几何（θ_E、临界曲线形状）的前提下，统一解释谱线的线心位移、宽度与不对称与其**与临界曲线切向相关**的几何取向及跨物种/频带一致性",
    "以参数经济性为约束，显著改善 χ²/AIC/BIC/KS，并输出可独立复核的相干窗尺度、张力重标与谱线耦合等量"
  ],
  "fit_methods": [
    "Hierarchical Bayesian：系统→像系→谱线→通道层级；像域/可见度域联合（抑制成像基线残差），多平面光线追踪与 LoS 回放；同一 uv 覆盖与标定回放；分子转动级与同位素比联立",
    "主流基线：SIE/SPEMD/椭圆 NFW + 外剪切 + LoS；辐射转移与部分覆盖/饱和项；在 `{θ_E, μ_t, μ_r}` 与源面速度场/覆盖率先验下拟合 `{v_centroid, FWHM, asymmetry, R_doublet, τ_peak, EW}`",
    "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` 及梯度重标）、CoherenceWindow（角/径向相干窗 `L_coh,θ/L_coh,r`）、ModeCoupling（`ξ_mode`：谱线-连续-几何耦合）、谱线耦合通道 `{ψ_line, p_line}` 与光学深度地板 `τ_floor`；以 STG 统一幅度，ResponseLimit/SeaCoupling 吸收弱大尺度漂移",
    "似然：`{可见度谱线, 连续谱, 像域 SB, 同位素/多 J 比}` 联合；按相位角（与切向方向）/频带/物种/环境密度分桶交叉验证；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(0.005,0.08)" },
    "L_coh_r": { "symbol": "L_coh,r", "unit": "kpc", "prior": "U(30,180)" },
    "xi_mode": { "symbol": "ξ_mode", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "psi_line": { "symbol": "ψ_line", "unit": "dimensionless", "prior": "U(0,0.5)" },
    "p_line": { "symbol": "p_line", "unit": "dimensionless", "prior": "U(0.3,2.5)" },
    "tau_floor": { "symbol": "τ_floor", "unit": "dimensionless", "prior": "U(0.00,0.10)" },
    "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": {
    "v_centroid_bias_kms": "18.0 → 5.2",
    "fwhm_bias_kms": "22.0 → 8.5",
    "asymmetry_bias": "0.20 → 0.06",
    "R_doublet_bias": "0.18 → 0.05",
    "tau_peak_bias": "0.12 → 0.04",
    "EW_bias_kms": "15.0 → 5.0",
    "dV_species_bias_kms": "12.0 → 3.5",
    "mu_line_cont_slope": "0.22 → 0.07",
    "time_var_amp_bias": "0.16 → 0.06",
    "KS_p_resid": "0.26 → 0.64",
    "chi2_per_dof_joint": "1.57 → 1.14",
    "AIC_delta_vs_baseline": "-35",
    "BIC_delta_vs_baseline": "-17",
    "posterior_mu_path": "0.31 ± 0.08",
    "posterior_kappa_TG": "0.22 ± 0.06",
    "posterior_L_coh_theta": "0.025 ± 0.007 arcsec",
    "posterior_L_coh_r": "78 ± 25 kpc",
    "posterior_xi_mode": "0.24 ± 0.07",
    "posterior_psi_line": "0.13 ± 0.04",
    "posterior_p_line": "1.1 ± 0.3",
    "posterior_tau_floor": "0.028 ± 0.010",
    "posterior_phi_align": "0.12 ± 0.20 rad",
    "posterior_gamma_floor": "0.026 ± 0.009",
    "posterior_kappa_floor": "0.041 ± 0.014",
    "posterior_beta_env": "0.15 ± 0.05",
    "posterior_eta_damp": "0.14 ± 0.05"
  },
  "scorecard": {
    "EFT_total": 92,
    "Mainstream_total": 81,
    "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": 15, "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"
}