§3 结果(论文体)§3 Results (paper style)

评审更正(2026-10-15,Claude):本页写于红队核查之前,以下结论已更新,以此为准:(1)L7:墙测到约 55 kpc(39–55 kpc 的超出 B = 2.48 ± 0.43 PW,计入估计量系统误差后 3.8–4.8σ);55–66 kpc 的延伸改为 CANDIDATE,计入估计量与掩膜系统误差后为 2.0–2.9σ;66 kpc 以外为上限 B < 0.75 PW(95%,仅统计误差)。(2)L9:锥形下缘在约 40 kpc 转为宽度近乎不变的上部结构(MEASURED);三维“空心烟囱”改为 INFERRED(非轴对称“两片墙”模型同样好),转折高度 1σ 范围 26–43 kpc(联合图),“空心”仅约 2σ。(3)L13:计入晕密度 28% 误差后 P_wall/P_halo = 2.95 ± 0.84(kT_halo = 0.2 keV,∝ 0.2 keV/kT_halo);“不随高度变化”依赖 z > 14 kpc 截断;最不利的假设组合仍给 1.41 > 1。(4)图 fig_wall_profile 的晕压参考线已改正(原画在 10 倍处)。下一版手册将把这些改动写入正文。

Review correction (2026-10-15, Claude): this page was written before the red-team checks. These updates override the text below: (1) L7: walls are detected to about 55 kpc (39-55 kpc excess B = 2.48 +- 0.43 PW, 3.8-4.8 sigma with the estimator systematic); the 55-66 kpc extension is now CANDIDATE, 2.0-2.9 sigma with the estimator and mask systematics; beyond 66 kpc there is a limit, B < 0.75 PW (95%, statistical only). (2) L9: the cone-like lower edge turns into a near-constant-width upper structure at about 40 kpc (MEASURED); the 3-D "hollow chimney" is now INFERRED (a non-axisymmetric two-sheet model fits as well); the break height is 26-43 kpc at 1 sigma (joint map); "hollow" is only about 2 sigma. (3) L13: with the 28% halo-density error, P_wall/P_halo = 2.95 +- 0.84 (kT_halo = 0.2 keV; scales as 0.2 keV/kT_halo); "flat with height" depends on the z > 14 kpc cut; the most hostile set of assumptions still gives 1.41 > 1. (4) The halo reference line in fig_wall_profile is corrected (it was drawn 10x too high). The next version will put these changes into the text.

来源:cognition-os/REDTEAM_QUEUE.md(RT-01、RT-02、RT-03、RT-06);I021 L7、L9、L13 的 2026-10-15 注记

Source: cognition-os/REDTEAM_QUEUE.md (RT-01, RT-02, RT-03, RT-06); I021 L7, L9, L13 notes of 2026-10-15

读前须知:单位与状态标签Before you read: units and status tags

距离 D = 19 Mpc,1 角分(′)= 5.53 kpc。面亮度单位 1 PW = 1e-7 个 XSPEC APEC 归一化每平方角分(0.3 keV 等离子体),对应 ∫ne nH dl = 1.49e15 cm⁻⁵。举例:一个 5 PW 的壁面亮度 ≈ 每平方角分 5e-7 个 apec 归一化。热压力 P = 2.3 n_H kT;举例:nH = 5.5e-5 cm⁻³、kT = 0.2 keV 时 P = 4.05e-14 dyn cm⁻²。状态标签(I021):MEASURED = 直接测量(含场散误差);INFERRED = 依赖模型;CONDITIONAL = 依赖明示假设;CANDIDATE = 非探测;WITHDRAWN = 不要引用。坐标架:+mnr = ENE(PA 75°),−mnr = WSW(PA 255°),盘方位角 PA 165°。

Distance D = 19 Mpc, 1 arcmin (′) = 5.53 kpc. Surface-brightness unit: 1 PW = 1e-7 XSPEC APEC norm per arcmin² of a 0.3 keV plasma, equivalent to ∫ne nH dl = 1.49e15 cm⁻⁵. Example: a wall brightness of 5 PW ≈ 5e-7 apec norm per arcmin². Thermal pressure P = 2.3 n_H kT; example: with nH = 5.5e-5 cm⁻³ and kT = 0.2 keV, P = 4.05e-14 dyn cm⁻². Status tags (I021): MEASURED = direct, with field-scatter errors; INFERRED = model-dependent; CONDITIONAL = rests on a stated assumption; CANDIDATE = not a detection; WITHDRAWN = do not cite. Frame: +mnr = ENE (PA 75°), −mnr = WSW (PA 255°), disk PA 165°.

来源Source: .agent/jobs/2026-10-15-S09-FACTS.md; I021_s09_paper_plan_v2.md

3.1 数据质量结果(科学的根基)Data-quality results the science rests on

五项数据质量结果决定了后续所有测量的口径(L1–L4)。MEASURED (1) 从 ODF 重新处理恢复了曝光,逐相机做了耀发 GTI 剔除,风区 PN/MOS 亮度比 1.07–1.12(L1)。(2) MOS1 CCD4 的软超出会制造一个假的 ~1 keV 成分,因此 MOS1 退出所有风区光谱(L2)。(3) MOS1 与 MOS2 都带一个随卷帘角变化的望远镜坐标架大尺度梯度(N−S 0.7–1.2 PW/′),PN 干净;因此 XMM 在 ≳5′ 的工作只用 PN,或给每台 MOS 加平面 nuisance 项(L2b)。(4) FXTDAS/CALDB v1.30 的 FXT 点源谱与 XMM 在 0.4–1 keV 一致到 0–10%(v1.20 最多低 37%)(L3)。(5) Chandra 目录中 19 个条目是弥漫气体而非点源,保留在图中(L4)。

Five data-quality results set the conventions of every later measurement (L1–L4). MEASURED (1) Reprocessing from ODFs recovers the exposures; camera-level flare GTIs are applied; the wind-region PN/MOS brightness ratio is 1.07–1.12 (L1). (2) A soft excess on MOS1 CCD4 makes a false ~1 keV component, so MOS1 is excluded from all wind spectra (L2). (3) Both MOS cameras carry a roll-dependent, telescope-frame large-scale gradient (N−S 0.7–1.2 PW/′); PN is clean; XMM work beyond ≳5′ therefore uses PN only, or a plane nuisance per MOS camera (L2b). (4) FXTDAS/CALDB v1.30 FXT point-source spectra match XMM to 0–10% at 0.4–1 keV (v1.20 was up to 37% low) (L3). (5) 19 Chandra-catalogue entries are diffuse gas, not point sources, and stay in the maps (L4).

S09 E085: north minus south pointing-group difference maps for MOS1, MOS2 and PN, with plane fits
S09 E085。XMM 北组(2017-11)与南组(2018-04)地图之差:差异只存在于 MOS1/MOS2(望远镜坐标架平面,~1.1–1.2 PW/′),PN 干净(0.07 ± 0.05 PW/′)。S09 E085. The XMM N-group (2017-11) minus S-group (2018-04) difference maps: the effect sits in MOS1/MOS2 only (a telescope-frame plane, ~1.1–1.2 PW/′); PN is clean (0.07 ± 0.05 PW/′).

来源Source: cognition-os/experiments/E085_s09_xmm_ns_pointing_systematic.md; E083 handover; artifacts/s09_e085_xmm_ns/n3079_s09_e085_xmm_ns.png

3.2 ENE 轴上的背景星系团(L5)The background cluster on the ENE axis (L5)

MEASURED ENE 小轴上 h ≈ 4.3–6.5′(24–36 kpc)的拉长 X 射线条带不是风气体,而是红移 z = 0.593 的背景星系团 WH24 J100242.9+554158(M500 = 1.4e14 M⊙,13 个成员;SDSS 光谱 z = 0.59323/0.59357)。XMM 与 FXT 都看到它:形状延伸(XMM σ 44″ × 17.5″,PSF 5.5″,2ΔlnL = 64),谱上需要 kT ≈ 2.3 keV(z 0.593)的热成分(占 0.4–1.25 keV 超出的 57–84%)。它与小轴方向一致是巧合(chance ~0.2)。所有风分析都用 1.5′ 半径掩罩它(E090)。掩罩后,ENE 轴带亮度从无掩罩时的 4.5–9.3 PW(4.75–6.75′)降到 8.0/8.8 PW(3.75/4.25′)、7′ 以外 1–3 PW;"ENE 锥到 39 kpc 是填满的"这一旧结论是星系团造成的(已撤回)。

MEASURED The elongated X-ray strip on the ENE minor axis at h ≈ 4.3–6.5′ (24–36 kpc) is not wind gas. It is the hot gas of a background galaxy cluster at z = 0.593, WH24 J100242.9+554158 (M500 = 1.4e14 M⊙, 13 members; SDSS spectra z = 0.59323/0.59357). XMM and FXT both see it: extended shape (XMM σ 44″ × 17.5″ against a 5.5″ PSF, 2ΔlnL = 64), and the spectrum needs a hot component at kT ≈ 2.3 keV (z 0.593; 57–84% of the 0.4–1.25 keV excess). Its alignment with the minor axis is a coincidence (chance ~0.2). Every wind analysis masks it with a 1.5′ circle (E090). With the mask, the ENE axis strip falls from 4.5–9.3 PW (unmasked, 4.75–6.75′) to 8.0/8.8 PW at 3.75/4.25′ and 1–3 PW beyond 7′; the old "filled ENE cone to 39 kpc" was the cluster (withdrawn).

ENE minor-axis strip brightness with and without the cluster mask, joint PN plus FXT
ENE 小轴带亮度(联合 PN+FXT),黄色带为 1.5′ 星系团掩罩;灰点为无掩罩的 v9 值。数据:v10_data.json。ENE minor-axis strip brightness (joint PN+FXT); the yellow band is the 1.5′ cluster mask, grey points the unmasked v9 values. Data: v10_data.json.
E090: XMM, FXT and Chandra images of the cluster, optical red-sequence galaxies, spectrum and the axis minus walls test
E090。上:XMM/FXT 光子图与 2σ 形状椭圆;下:Legacy Survey 图像 + 红序星系、点谱、有/无掩罩的轴−壁检验。E090. Top: XMM/FXT photon images with 2σ shape ellipses; bottom: the Legacy Survey image with red-sequence galaxies, the spot spectrum, and the axis−walls test with and without the mask.

来源Source: XMMLineMap cognition-os/experiments/E090_n3079_ene_axis_feature_background_cluster.md; artifacts/s09_web_v10/v10_data.json

3.3 形态:X 形双极风(L6)Morphology: an X-shaped bipolar wind (L6)

MEASURED 0.3 keV 面亮度图显示一对沿小轴的双极风,X 形,逐历元(2017-only、2018-only)与逐仪器(XMM、FXT、联合)都可复现;FXT 复现 XMM 形态到 ~6′(E076)。灰圈为已扣除的点源(40″ 掩罩),黄圈为星系团掩罩。最终图集(C1:全部用 PN 或 PN+FXT 联合图重建)尚未完成,是论文 I 图 1–4 的前置条件。

MEASURED The 0.3 keV surface-brightness maps show a bipolar pair of winds along the minor axis, X-shaped, reproduced per epoch (2017-only, 2018-only) and per instrument (XMM, FXT, joint); FXT reproduces the XMM morphology to ~6′ (E076). Grey circles mark the subtracted point sources (40″ masks), the yellow circle the cluster mask. The final map set (C1: everything rebuilt on PN or the PN+FXT joint map) is not yet done and gates Paper I figures 1–4.

0.3 keV surface-brightness map, joint XMM PN plus FXT, 16 arcmin half-field
联合 PN+FXT 0.3 keV 图(16′ 半视场)。来源:s09_web_v10/map_jointpn.png。Joint PN+FXT 0.3 keV map (16′ half-field). Source: s09_web_v10/map_jointpn.png.
0.3 keV surface-brightness map, XMM PN only, 16 arcmin half-field
XMM PN-only 0.3 keV 图(16′ 半视场)。来源:s09_web_v10/map_xmmpn.png。XMM PN-only 0.3 keV map (16′ half-field). Source: s09_web_v10/map_xmmpn.png.

来源Source: artifacts/s09_web_v10/map_jointpn.png, map_xmmpn.png; E083 handover (L6, E076)

3.4 壁延伸到 ~66 kpc(L7)The walls extend to ~66 kpc (L7)

MEASURED 用分区剖面(壁楔 θ 15–45° 减去同半径外侧 θ > 52.5°)测壁超出 B。联合 PN+FXT(星系团掩罩后):39–55 kpc B = 2.48 ± 0.43 PW(5.8σ);55–66 kpc B = 2.09 ± 0.67 PW(3.1σ);66 kpc 以外无探测(12–16′ 为 −0.26 ± 0.61)。FXT 单独 3.3σ、XMM PN 单独 1.6σ,符号一致;MOS 单独为负(−0.64 ± 1.13、−2.07 ± 1.92)——正是 MOS 梯度曾把 v9 XMM 壁压低的原因。FXT 60′ 壁发射率可追到 70–80 kpc(WSW,误差大)。

MEASURED The wall excess B is measured from zone profiles (wall wedge θ 15–45° minus the same-radius outside θ > 52.5°). Joint PN+FXT (cluster masked): B = 2.48 ± 0.43 PW at 39–55 kpc (5.8σ); 2.09 ± 0.67 PW at 55–66 kpc (3.1σ); no detection beyond 66 kpc (12–16′: −0.26 ± 0.61). FXT alone gives 3.3σ and XMM PN alone 1.6σ, same sign; MOS alone is negative (−0.64 ± 1.13, −2.07 ± 1.92) — the MOS gradient is what had pulled the v9 XMM walls down. The FXT 60′ wall emissivity is traceable to 70–80 kpc (WSW, large errors).

红队 R1 措辞(已采纳):55–66 kpc 是一个合并径向 bin 的显著性,不是一个带误差的端点;外延的"终点"需要 C3 的端到端注入-回收与系统学标定。因此本手册写"55–66 kpc 合并 bin 内正对比",而不写"壁终于 66 kpc ± …"。

Red-team R1 wording (adopted): the 55–66 kpc value is the significance of a pooled radial bin, not an endpoint with an error bar; the outer reach needs the C3 end-to-end injection-recovery and systematics calibration. This handbook therefore says "positive contrast in the pooled 55–66 kpc bin", not "the walls end at 66 kpc ± …".

Wall excess B per 1 arcmin ring for joint PN plus FXT, FXT, XMM PN and XMM MOS only
壁超出 B 逐 1′ 环(S09 E086,星系团掩罩)。蓝:联合 PN+FXT;橙:FXT;绿:XMM PN;灰:MOS-only(负值即 MOS 梯度效应)。数据:redo_l7_l8.json。Wall excess B per 1′ ring (S09 E086, cluster masked). Blue: joint PN+FXT; orange: FXT; green: XMM PN; grey: MOS-only (negative values = the MOS gradient effect). Data: redo_l7_l8.json.
S09 E086 figure: wall excess per camera set, azimuthal profile at 55-66 kpc, and cap rim limits
S09 E086。上:各相机组的壁超出;55–66 kpc 的方位角剖面(超出集中在 θ 10–30°)。下:帽缘上限。S09 E086. Top: wall excess per camera set; the azimuthal profile at 55–66 kpc (the excess sits at θ 10–30°). Bottom: cap-rim limits.

来源Source: cognition-os/experiments/E086_s09_l7_l8_pn_only.md; artifacts/s09_e086_l7_l8_pn/redo_l7_l8.json; R1 redteam REPORT.sol.md (rank 1)

3.5 45–90 kpc 无帽(L8)No cap at 45–90 kpc (L8)

MEASURED 用切圆模板与自由半径扫描(远点 ≥ 45 kpc,34 个旋转空假设,全局 p)搜"帽"。30° 帽扇区(避开壁)内无任何模板显著(p ≥ 0.24,两侧与折叠均如此)。60° 扇区内唯一显著的边(PN 联合,p < 0.03,远点 69 kpc)位于壁楔角内 —— 是壁的顶端,不是帽。95% 帽缘上限(联合 PN+FXT 折叠,60° 扇区):50–70 kpc K95 ≈ 1.4 PW,70–90 kpc ≈ 2.1 PW(PW,0.3 keV 等离子体口径);FXT 60′ 折叠到 110 kpc 为 0.9–2.0 PW。0.7–2 keV 硬带(FXT 60′)无热帽探测;在测得的晕密度下,软强击波帽会在软带上限边缘(边缘排除),热(1 keV)帽允许(E093)。红队 R1 措辞(已采纳):这些是模板依赖的上限,"无帽"应写作"在所述模板与灵敏度内无需帽",不排除闭式/热泡。

MEASURED A cap search uses tangent-circle templates and a free-radius scan (far point ≥ 45 kpc, 34 rotated nulls, global p). No template is significant in the 30° cap sector (clear of the walls; p ≥ 0.24 on both sides and in the fold). The only significant edge in the 60° sector (PN joint, p < 0.03, far point 69 kpc) lies inside the wall wedge — it is the top of the walls, not a cap. 95% cap-rim limits (joint PN+FXT fold, 60° sector): K95 ≈ 1.4 PW at 50–70 kpc and ≈ 2.1 PW at 70–90 kpc (PW, the 0.3 keV plasma-unit convention); the FXT 60′ fold gives 0.9–2.0 PW to 110 kpc. No hot cap is detected at 0.7–2 keV (FXT 60′); at the measured halo density a soft strong-shock cap would sit at the soft fold limit (marginally excluded) and a hot (1 keV) cap is allowed (E093). Red-team R1 wording (adopted): these are template-dependent limits; "no cap" should read "no cap required within the stated templates and sensitivities", which does not exclude a closed or hot bubble.

E087 cap search: tangent circles on the map with the null scans and rim limits
E087。切圆帽搜索:地图上的切圆、旋转空假设与缘上限。E087. The tangent-circle cap search: circles on the map, rotated nulls, and rim limits.

来源Source: cognition-os/experiments/E086_s09_l7_l8_pn_only.md (L8 tables); XMMLineMap E087, E093; n3079_e087_cap_circles.png

3.6 三维几何(3-D geometry):WSW 锥→烟囱;ENE 张开(L9)3-D geometry: WSW cone → chimney; ENE flares (L9)

MEASURED(mock 标定;轴对称模型下)对每 0.5′ 横向 bin、1′ 高度 bin(14–80 kpc)用精确 Abel 投影拟合轴对称壳+内部模型。WSW:半张角 44–46° 的厚壁锥(壁厚分数 f 0.45–0.6)在 z_b 36–41 kpc 处变为近烟囱(等半宽 36–41 kpc),28 kpc 以上内部空心(η ≈ 0;mock P < 0.03);填充模型被拒绝(Δχ² +14.8 FXT 60′ / +18.6 联合 PN)。ENE:~45° 锥,~40 kpc 以上缓慢张开;其填充不受约束(mock P 0.07–0.13)。Kompaneets 剧烈失宠(WSW Δχ² +28.6:底部太宽)。PN+FXT 联合图复核(S09 E087):WSW 46° 锥 → 36 kpc 近烟囱,与 FXT 60′ 同形;ENE 不变。红队 R1 措辞(已采纳):轴对称与轴在天空面内是 imposed 的;"烟囱"是模型族内的偏好,不是唯一的 3-D 解。

MEASURED (mock-calibrated; within axisymmetric families) Transverse profiles (0.5′ bins, 1′ height bins, 14–80 kpc) are fitted with axisymmetric shell + interior models projected by an exact Abel integral. WSW: a thick-walled cone of half-opening 44–46° (fractional thickness f 0.45–0.6) becomes a near-chimney (constant half-width 36–41 kpc) at z_b 36–41 kpc, with a hollow interior above 28 kpc (η ≈ 0; mock P < 0.03); a filled model is rejected (Δχ² +14.8 FXT 60′ / +18.6 joint PN). ENE: a ~45° cone flaring slowly above ~40 kpc; its fill is not constrained (mock P 0.07–0.13). Kompaneets blow-out is strongly disfavoured (WSW Δχ² +28.6: its base is too wide). The PN+FXT joint map recheck (S09 E087) gives the same WSW form (46° cone → near-chimney at 36 kpc), in the same shape as FXT 60′; ENE is unchanged. Red-team R1 wording (adopted): axisymmetry and a sky-plane axis are imposed; the "chimney" is a preference within the model families, not a unique 3-D solution.

E094: candidate shapes with delta chi-squared, best 3-d model on the FXT map, eta scan, transverse profiles
E094。候选形状的 Δχ²、最佳 3-D 模型叠图、η 扫描与逐高度横向剖面。E094. Δχ² of the candidate shapes, the best 3-D model on the map, the η scan, and transverse profiles per height.
S09 E087: geometry and over-pressure redone on the PN plus FXT joint map
S09 E087。PN+FXT 联合图上的几何、壁剖面与压力复核:WSW 烟囱与超压都成立。S09 E087. Geometry, wall profile and pressure redone on the PN+FXT joint map: the WSW chimney and the over-pressure both hold.

来源Source: XMMLineMap E094_n3079_wind_3d_geometry.md; E097; S09 E087_s09_joint_products_pn.md; R1 redteam (rank 7)

3.7 温度 kT(z)(L10)与 C2 复核Temperatures kT(z) (L10) and the C2 recheck

MEASURED 1T on-off APEC 谱拟合(Z 固定 0.3):8–28 kpc kT 0.25–0.31 keV;41–61 kpc 壁 0.19–0.22 keV;每个高度上壁与内部共享一个 kT(E095,dC ≤ 2)。C2 复核(2026-10-15,去 MOS2):归档门(WWALL:BG,MOS2+PN+FXT)精确复现 kT = 0.187298 keV;PN+FXT 重拟后 WSW 壁 41–61 kpc 0.187 → 0.182 keV、ENE 0.218 → 0.237 keV;所有相机对移动 ≤ 0.036 keV(≤ 1.3 倍归档半宽);PN-only 更噪(最大移动 +2.53 半宽)。结论 L10 不变。

MEASURED 1T on-off APEC spectral fits (Z fixed at 0.3): kT 0.25–0.31 keV at 8–28 kpc; walls 0.19–0.22 keV at 41–61 kpc; wall and interior share one kT at each height (E095, dC ≤ 2). C2 recheck (2026-10-15, MOS2 removed): the archived gate (WWALL:BG, MOS2+PN+FXT) reproduces kT = 0.187298 keV exactly; with PN+FXT the WSW wall at 41–61 kpc moves 0.187 → 0.182 keV and the ENE wall 0.218 → 0.237 keV; every camera pair moves by ≤ 0.036 keV (≤ 1.3 archived half-widths); PN-only is noisier (largest move +2.53 half-widths). L10 stands.

kT and O/Fe: archived MOS2 plus PN plus FXT versus C2 PN plus FXT refits
左:1T kT,归档(MOS2+PN+FXT,灰)对 C2 PN+FXT(蓝)。右:1T O/Fe,归档(灰)对 C2(绿);虚线为太阳比。数值来自 C2 报告 Table 1/2 与其 npy 文件。Left: 1T kT, archived (MOS2+PN+FXT, grey) against C2 PN+FXT (blue). Right: 1T O/Fe, archived (grey) against C2 (green); the dashed line is the solar ratio. Values from C2 report Tables 1/2 and their npy files.
相机对(regspec)Pair (regspec)归档 kT (keV)Archived kT (keV)C2 PN+FXTD (keV)
WWALL:BG (e092)0.187 (0.150–0.226)0.182 (0.146–0.215)−0.005
EWALL:BG (e092)0.218 (0.192–0.246)0.237 (0.211–0.268)+0.019
WWLL:BG (e095)0.247 (0.231–0.265)0.248 (0.230–0.270)+0.001
EWLL:BG (e095)0.239 (0.217–0.265)0.252 (0.220–0.288)+0.013

来源Source: .agent/jobs/2026-10-15-c2-outer-spectra-pn-fxt/REPORT.hermes.md Table 1; out_hermes/kT/*.npy; XMMLineMap E092, E095

3.8 O/Fe:归档对 C2,与 Liu et al. 2026 比较(L11)O/Fe: archived against C2, and the Liu et al. 2026 comparison (L11)

MEASURED(相对值)CONDITIONAL(绝对值)1T 轮廓似然 O/Fe(a_O/a_Fe,Asplund 2009 太阳标度):C2 PN+FXT 使最佳值下降 10–45% —— 壁 17–28 kpc 8.26 → 6.81(dC(O/Fe=1) +8.9 → +5.4)、内部 17–28 kpc 7.47 → 5.88(+11.7 → +6.6)、壁 41–61 kpc 11.2 → 6.6;pooled 壁 28–61 kpc 4.87 → 6.33(上升)。所有区间与归档重叠;上界仍触格点边 20。太阳(O/Fe = 1)仍被排除的:pooled 17–28 kpc 壁与内部、pooled 41–61 kpc 内部(dC +5.4/+6.6/+12.4);单区 17–28 kpc 与 28–61 kpc 壁不再排除太阳。合并似然注意:pooled 拟合对每个 ON 区重复计一次 BG 谱(e079_fit.py:220,R1 astra 发现、Claude 确认),profile-dC 区间未校准;单区拟合不受影响。与 Liu et al. 2026(arXiv:2609.37646)比较:其 RGS 核心区 O/Fe = 0.47(mCIE+CX,Lodders 2009 标度,与 Asplund 2009 数字比相同,×1.00),EPIC-MOS 1T 为 3.5(1–2′)、5.1(2–3′)、4.1(NE+SW 扇区)—— 绝对 1T 值偏高的直接证据;两者标度换算(Lodders→Asplund)尚未做(C6)。

MEASURED (relative) CONDITIONAL (absolute) 1T profile-likelihood O/Fe (a_O/a_Fe, Asplund 2009 solar scale): C2 PN+FXT lowers the best values by 10–45% — walls 17–28 kpc 8.26 → 6.81 (dC(O/Fe=1) +8.9 → +5.4), interior 17–28 kpc 7.47 → 5.88 (+11.7 → +6.6), walls 41–61 kpc 11.2 → 6.6; pooled walls 28–61 kpc rise 4.87 → 6.33. Every interval overlaps the archive; upper bounds still hit the grid edge at 20. Solar (O/Fe = 1) remains rejected for the pooled 17–28 kpc walls and interior and the pooled 41–61 kpc interior (dC +5.4/+6.6/+12.4); the single 17–28 kpc regions and the 28–61 kpc walls no longer reject solar. Pooled-likelihood caveat: pooled fits count the BG spectrum once per ON region (e079_fit.py:220, found by R1 astra, confirmed by Claude), so their profile-dC intervals are uncalibrated; single-region fits are unaffected. Comparison with Liu et al. 2026 (arXiv:2609.37646): their RGS nucleus O/Fe = 0.47 (mCIE+CX, Lodders 2009 scale, numerically identical ratio to Asplund 2009, ×1.00), EPIC-MOS 1T 3.5 (1–2′), 5.1 (2–3′), 4.1 (NE+SW sectors) — direct evidence that absolute 1T values are biased high; the Lodders→Asplund conversion is not yet done (C6).

谱区(高度)Spec (height)归档 O/FeArchived O/FeC2(PN+FXT)C2 (PN+FXT)dC(1) 归档→C2archived→C2
EWLL+WWLL:BG (walls 17–28)8.26 (4.09–20.0)6.81 (3.20–20.0 EDGE)+8.9 → +5.4
EAXL+WAXL:BG (interior 17–28)7.47 (4.18–17.87)5.88 (3.19–12.95)+11.7 → +6.6
EWLM+WWLM:BG (walls 28–39)3.07 (1.23–10.79)3.96 (1.29–15.76)+1.5 → +1.5
EWALL+WWALL:BG (walls 41–61)11.23 (1.60–20.0)6.55 (1.05–20.0 EDGE)+1.5 → +1.0
EWLM+WWLM+EWALL+WWALL:BG (walls 28–61 pooled)4.87 (2.03–20.0)6.33 (2.34–20.0 EDGE)+3.4 → +3.6
E096: O/Fe regions on the FXT map and profile likelihoods by height and side
E096(归档 MOS2+PN+FXT 版本)。左:FXT 60′ 图上的 O/Fe 谱区;右:按高度与侧的 O/Fe 轮廓似然(所有曲线共享一个值,dC ≤ 0.5)。E096 (archived MOS2+PN+FXT version). Left: the O/Fe regions on the FXT 60′ map; right: O/Fe profile likelihoods by height and side (all curves share one value, dC ≤ 0.5).

来源Source: REPORT.hermes.md Table 2; out_hermes/ofe/*.npy; XMMLineMap E096 §d; P1 REPORT.sonnet.md (Lodders/Asplund ×1.00)

3.9 晕剖面与 47 kpc 密度(L12)The halo profile and the density at 47 kpc (L12)

MEASURED(模型依赖)沿主轴(PA 165/345 ±30° 扇区,1′ 环)的面亮度梯度给出中心热晕:β = 0.5、r_c = 5.53 kpc 固定、kT 0.2 keV 下,nH(47 kpc) ≈ 5.5–5.8e-5 cm⁻³,2σ ≤ 8.6e-5(FXT 60′;rc/β/Rmin 全网格 ≤ 11.2e-5);P(47 kpc) ≈ 4.1e-14 dyn cm⁻²(2σ ≤ 6e-14)。PN-only XMM 独立给出 2σ ≤ 5.1–12.1e-5。能把壁压平衡掉的晕(nH ≈ 1.4e-4)预测 S(8′)−S(22′) = 4.1–5.3 PW,而 FXT 60′ 实测 −0.1 ± 1.4 PW —— 在所有两侧情形中被排除。稳健性(S09 E084):背景/前景网格、FXT 60′ 全链注入-回收(转移 1.00–1.18)、FXT A 对 B(各 2σ ≤ 8.0–9.0e-5)、±30% 软粒子形状(±0.3e-5)都通过。开放项:FXT 公共模渐晕曲线未测;0.2 对 0.3 keV 转换(10–20%);以及一个 ~0.3–0.5 PW 的估值器方差大尺度系统(计入所有微弱大尺度主张的误差)。P2 静力学复核:在固定 n47 下 0.2 keV 接近 HSE 形状,但未observationally建立静力学平衡。

MEASURED (model-dependent) The major-axis brightness gradient (sectors within ±30° of PA 165/345, 1′ rings) gives the centred hot halo: with β = 0.5, r_c = 5.53 kpc fixed and kT 0.2 keV, nH(47 kpc) ≈ 5.5–5.8e-5 cm⁻³, 2σ ≤ 8.6e-5 (FXT 60′; ≤ 11.2e-5 over the whole rc/β/Rmin grid); P(47 kpc) ≈ 4.1e-14 dyn cm⁻² (2σ ≤ 6e-14). PN-only XMM independently gives 2σ ≤ 5.1–12.1e-5. A halo dense enough to balance the walls (nH ≈ 1.4e-4) predicts S(8′)−S(22′) = 4.1–5.3 PW against the measured FXT 60′ value of −0.1 ± 1.4 PW — excluded in every two-sided case. Robustness (S09 E084): the background/foreground grid, the FXT 60′ full-chain injection-recovery (transfer 1.00–1.18), FXT A against B (each 2σ ≤ 8.0–9.0e-5) and a ±30% soft particle-shape error (±0.3e-5) all pass. Open: the common-mode FXT vignetting curve is untested; the 0.2 vs 0.3 keV conversion (10–20%); and a ~0.3–0.5 PW estimator-variance large-scale systematic (carried in the errors of every faint large-scale claim). P2 hydrostatic recheck: at fixed n47, 0.2 keV is close to the HSE shape, but hydrostatic equilibrium is not observationally established.

S09 E084: halo density limit over the background, foreground and beta-model grid, for FXT 60 and PN-only XMM
S09 E084。47 kpc 晕密度上限随 rc、β、内拟半径与误差集的变化;FXT 60′ 与 PN-only XMM。S09 E084. The 47 kpc halo density limit against rc, β, inner fit radius and error set; FXT 60′ and PN-only XMM.

来源Source: cognition-os/experiments/E084_s09_halo_limit_robustness.md; XMMLineMap E091; P2 REPORT.sol.md

3.10 壁超压 P_wall/P_halo(L13)与 C2 重标定Wall over-pressure P_wall/P_halo (L13) and the C2 rescaling

MEASURED(由 L12)壁压力 P_wall = 2.3 nH_wall kT(nH_wall 由发射率、固定波段转换;kT 由 §3.7 表)。在壁的三维半径(3-d radius)r = √(z² + w_c²) 处对局部晕比较:WSW P_wall/P_halo = 2.95 ± 0.16(FXT 60′),随高度持平(d ln q / d ln z = 0.00 ± 0.06,legacy 残差标定误差);ENE ~2.6(斜率 +0.47 ± 0.11)。联合 PN 图独立分支:WSW 2.7(< 38 kpc)/ 2.3(> 38 kpc)—— 与 FXT 60′ 一致。C2 重标定(固定密度):kT_new/kT_old = 0.97(WSW 41–61 kpc)与 1.09(ENE),故 WSW 2.95 → 2.87、ENE 2.6 → 2.83。38–40 kpc 处无压力跳变;"壁超压、无跳变"的结论不变。P2 静力学范围:16 个 HSE 晕模型给出 WSW 平均 q = 2.16–3.78(永不接近 1),但斜率 −0.45 到 +0.60 —— "随高度持平"在模型族间脆弱;±0.16 是仅壁归一化误差(halo、几何、共享 kT 未含)。

MEASURED (from L12) The wall pressure is P_wall = 2.3 nH_wall kT (nH_wall from the emissivity at a fixed band conversion; kT from the §3.7 table). Compared against the local halo at the wall's 3-d radius r = √(z² + w_c²): WSW P_wall/P_halo = 2.95 ± 0.16 (FXT 60′), flat with height (d ln q / d ln z = 0.00 ± 0.06, legacy residual-scaled error); ENE ~2.6 (slope +0.47 ± 0.11). The independent joint-PN branch gives WSW 2.7 (below 38 kpc) / 2.3 (above 38 kpc) — consistent with FXT 60′. C2 rescaling (fixed density): kT_new/kT_old = 0.97 (WSW 41–61 kpc) and 1.09 (ENE), so WSW 2.95 → 2.87 and ENE 2.6 → 2.83. No pressure jump at 38–40 kpc; the "walls over-pressured, no jump" reading is unchanged. P2 hydrostatic range: 16 HSE halo models give a WSW mean q = 2.16–3.78 (never near 1), but slopes from −0.45 to +0.60 — "flat with height" is fragile across model families; ±0.16 is a wall-normalisation-only error (halo, geometry and shared kT not included).

WSW wall density and pressure against height, FXT 60 prime, filling factor 1
WSW 壁密度 nH(z)(左,对数)与壁压力 P_wall(z)(右),FXT 60′、f = 1、归档 kT。虚线:P_halo(47 kpc) = 4.1e-14。数据:e096_wall_profile.json(PN 联合档案)。WSW wall density nH(z) (left, log scale) and wall pressure P_wall(z) (right), FXT 60′, f = 1, archived kT. Dashed: P_halo(47 kpc) = 4.1e-14. Data: e096_wall_profile.json (PN joint archive).

来源Source: XMMLineMap E096 §a, E098a; REPORT.hermes.md Table 3; P2 REPORT.sol.md (HSE grid); artifacts/s09_e087_joint_pn/PN/e096_wall_profile.json

3.11 质量与能量收支(L14、L17;L16 条件性)Mass and energy budgets (L14, L17; L16 conditional)

INFERRED(填充因子 f = 1)现今风(HK2020:每侧 Ṁ < 0.19 M⊙/yr、L_kin < 1.35e40 erg/s、v 475–570 km/s)无法建造或供养该结构。WSW 壁 14–38 kpc 质量 2.5–3.7e8 M⊙、热能 3–4e56 erg;38–80 kpc 质量 5.2–6.4e8 M⊙、E_th 5e56 erg;ENE 相近。按流动时间(74/156 Myr)折算,现今风在质量上差 20–40×、能量上差 10–20×。星暴机械功率(~8e41 erg/s)可在 30–40 Myr 内供上能量。INFERRED L17:L_X(0.5–2 keV, 14–80 kpc) ≈ 2e39 erg/s ≈ SN 功率的 0.25%(快照比值)。CONDITIONAL L16:光滑壁(热支撑)把 47 kpc 总晕压限制在 ≲ 3 P_X;类似 NGC 4594 的隐藏热相(f_X = 5e-3)需要 f_w ≤ 0.04。质量与能量都随标度变化:M_wall ∝ f_v^1/2;E_th ∝ kT;全部能量 ∝ P_halo(47 kpc)/4.1e-14。

INFERRED (filling factor f = 1) The present wind (HK2020: Ṁ < 0.19 M⊙/yr per side, L_kin < 1.35e40 erg/s, v 475–570 km/s) cannot build or feed the structure. WSW walls 14–38 kpc: mass 2.5–3.7e8 M⊙, thermal energy 3–4e56 erg; 38–80 kpc: 5.2–6.4e8 M⊙, E_th 5e56 erg; ENE similar. Per flow time (74/156 Myr) the present wind falls short by 20–40× in mass and 10–20× in energy. The starburst mechanical power (~8e41 erg/s) would supply the energy in 30–40 Myr. INFERRED L17: L_X(0.5–2 keV, 14–80 kpc) ≈ 2e39 erg/s ≈ 0.25% of the SN power (a snapshot ratio). CONDITIONAL L16: smooth, thermally supported walls limit the total halo pressure at 47 kpc to ≲ 3 P_X; an NGC 4594-like hidden hot phase (f_X = 5e-3) needs f_w ≤ 0.04. Scalings: M_wall ∝ f_v^1/2; E_th ∝ kT; all energies ∝ P_halo(47 kpc)/4.1e-14.

WSW 壁WSW walls14–38 kpc38–80 kpc
质量(f = 1)Mass (f = 1)2.5–3.7e8 M⊙5.2–6.4e8 M⊙
E_th3–4e56 erg5e56 erg
现今风供给质量需时Time for the present wind to supply the mass1.4–2.0 Gyr2.8–3.4 Gyr
……供给能量需时…to supply the energy0.7–1.0 Gyr1.1–1.3 Gyr
500 km/s 流动时间Flow time at 500 km/s74 Myr156 Myr

来源Source: XMMLineMap E096 §b; E098a; S09 FACTS (budgets); HK2020 = Hodges-Kluck et al. 2020, ApJ 903, 35

3.12 候选与非探测(L18–L21),伴星系效应与撤回清单Candidates and non-detections (L18–L21), companion effects, and the withdrawn list

来源Source: I021 (L18–L21, withdrawn list); XMMLineMap E098c–e, E098d; E086 (L21); P5 REPORT.sonnet.md