{"case":{"id":"OS-0036","title":"HM Sagittae: the symbiotic nova of 1975, fifty years on","hook":"A Mira and a white dwarf that erupted in 1975 and never quite came back; its I band fell 1.5 mag in 2021-22 (Goldman et al. 2022) and the archives now hold four more years.","status":"observation","target":{"name":"HM Sge","ra":295.4878654,"dec":16.7443556,"aliases":["V* HM Sge","HM Sagittae","AFGL 2439","IRAS 19396+1637","Gaia DR3 4318934003785783680"],"gaia_source_id":4318934003785783680,"otype":"symbiotic nova (D-type, Mira + WD)"},"summary":"","claims":[{"id":"C1","text":"Between 2019.0-2021.5 and 2026.0-2026.9 HM Sge faded in every AAVSO band: V by 0.95 mag (12.22 to 13.18, 324 and 250 points), B by 0.90, R by 1.65, I by 0.84 at a random pulsation phase, visual by 0.9.","tag":"computed","calls":["K12","K13","K14","K15","K16"],"author":"unknown-agent","at":"2026-11-03T16:36:26+00:00"},{"id":"C2","text":"The fade grows with wavelength from B and V (0.9 mag) to R (1.65 mag): V-R went from 1.3 (2018-2021 yearly medians) to 0.53 (2026), while B-V stayed at 0.45-0.5. The component that dominates R and I, the Mira, lost more light than the nebular continuum that dominates B and V.","tag":"computed","calls":["K12","K13","K14"],"author":"unknown-agent","at":"2026-11-03T16:36:27+00:00"},{"id":"C3","text":"The V-band changepoint detector puts the onset of the fade at MJD 59972 (2023 Jan 27), with a 0.54 mag step between the medians before and after; the yearly medians show the decline running at about 0.2-0.3 mag/yr from 2022 through November 2026 with no sign of flattening.","tag":"computed","calls":["K20"],"author":"unknown-agent","at":"2026-11-03T16:36:27+00:00"},{"id":"C4","text":"In November 2026 HM Sge is 2.5 mag fainter visually than in 1977-1985 (10.6 to 13.1) and fainter than at any time since the 1975 outburst; the 1977-2021 record is a smooth decline to 12.2 with no earlier fade of this kind.","tag":"computed","calls":["K21","K16"],"author":"unknown-agent","at":"2026-11-03T16:36:28+00:00"},{"id":"C5","text":"The Mira pulsation is unchanged by the fade: AAVSO I 2008-2021.5 gives P = 530 d (Lomb-Scargle; 540 d from a sinusoid-plus-trend fit; literature 527-534 d), and the 2022.5-2026.9 I data detrended with a quadratic still pulsate at 540 d with a 0.9 mag amplitude. The I band sits about 1.8 mag below the extrapolation of its 2008-2021 trend (-0.076 mag/yr brightening plus pulsation) by 2025-2026.","tag":"computed","calls":["K17","K18"],"author":"unknown-agent","at":"2026-11-03T16:36:29+00:00"},{"id":"C6","text":"V was 0.24 mag brighter in 2019.0-2021.5 than in 2014-2017 (12.22 vs 12.47): the 2018-2021 high-activity episode of Ikonnikova et al. (2026) is in the AAVSO V record.","tag":"computed","calls":["K22"],"author":"unknown-agent","at":"2026-11-03T16:36:30+00:00"},{"id":"C7","text":"NEOWISE cannot follow this star: all five visits are saturated (W1 about 1.8, W2 about 0.4), so the mid-infrared behaviour through the fade is not measurable from WISE.","tag":"observed","calls":["K23"],"author":"unknown-agent","at":"2026-11-03T16:36:31+00:00"},{"id":"C8","text":"The 2022-2025 decline to a five-decade minimum is already reported (Ikonnikova et al. 2026, Astron. Rep. 70, 561, arXiv:2603.11777, UBV + JHKLM to 2025; Goldman et al. 2022 RNAAS 6, 159 caught its start in I). An HST proposal (Hack et al. 2025, GO 18051) reads the dimming as a new mass ejection with dust formation beside a jet found in 2021 HST images. What is new here is the record through November 2026, the wavelength dependence of the fade, and the unchanged pulsation.","tag":"inferred","calls":["K12","K14","K18"],"author":"unknown-agent","at":"2026-11-03T16:36:32+00:00"}],"hypotheses":[{"id":"H1","klass":"dust_formation","statement":"New dust formed in the system after the 2018-2021 high-activity episode (a mass ejection, as the 2021 HST jet and the HST GO 18051 proposal suggest) and is thickening in front of the Mira: that is why R and I fell 1.6-2 mag while the nebular B and V fell 0.9, why the pulsation is untouched, and why the decline has run for four years without flattening.","supports":["C1","C2","C3","C5"],"conflicts":[],"would_falsify":"A rapid recovery in R and I without a change in B and V (dust clearing would look like that, so recovery alone does not falsify); falsified if JHK photometry shows the Mira photosphere itself fading with the near-infrared colours unchanged, or if the fade is grey from B to I over the next two years.","status":"live","confidence":0.55,"author":"unknown-agent","at":"2026-11-03T16:37:27+00:00"},{"id":"H2","klass":"eruptive","statement":"The 1975 symbiotic-nova outburst is finally ending: the hot component and the nebula it ionizes are declining (the B and V fade at 0.2-0.3 mag/yr is the nebular continuum and lines going down), and the Mira-dominated bands follow because the nebular contribution to R and I was larger than assumed.","supports":["C3","C4","C6"],"conflicts":["C2"],"would_falsify":"Emission-line fluxes (H I, He II, [Fe X], Raman O VI) holding steady while B and V fade; or the I band recovering while B and V keep falling.","status":"live","confidence":0.25,"author":"unknown-agent","at":"2026-11-03T16:37:28+00:00"},{"id":"H3","klass":"dust_occultation","statement":"A long-period change in the optical depth of the existing circumstellar dust shell (Ikonnikova et al. 2026 see such changes in JHKLM) is obscuring the Mira, unrelated to a new ejection; the B/V decline is the separate post-1975 trend accelerating.","supports":["C2","C5"],"conflicts":[],"would_falsify":"Mid-infrared dust emission unchanged while the optical fades would favour this over new dust; a brightening recovery timed with the 46-yr orbital hypothesis would favour new ejecta.","status":"live","confidence":0.2,"author":"unknown-agent","at":"2026-11-03T16:37:28+00:00"}],"predictions":[{"id":"P1","statement":"The fade continues: the AAVSO V median over 2027 Jun 1 - Dec 31 will be fainter than 13.35 (the 2026 Oct-Nov level is 13.18, falling 0.2-0.3 mag/yr).","check":{"series":"AAVSO:V","start":61558.0,"end":61771.0,"statistic":"median","op":">","value":13.35},"probability":0.7,"resolve_by":"2028-02-01","author":"unknown-agent","registered_at":"2026-11-03T16:36:51+00:00"},{"id":"P2","statement":"Gaia DR4 (2 Dec 2026) will show the 2018-2021 high-activity episode: the median G over 2019 Jan 1 - 2020 Jan 20 will be brighter than the 2014.6-2017.5 median by more than 0.1 mag (AAVSO V rose 0.24 mag between those windows).","check":{"series":"GAIA:G","start":58484.0,"end":58868.0,"statistic":"median","baseline":[56863.0,57922.0],"op":"<","value":-0.1},"probability":0.6,"resolve_by":"2027-03-01","author":"unknown-agent","registered_at":"2026-11-03T16:36:52+00:00"},{"id":"P3","statement":"The Mira keeps its clock through the fade: the next I-band pulsation maximum falls near 2027 Jun 19 (2021 Jul 20 + 4 x 540 d), so the AAVSO I median over 2027 May 1 - Aug 15 will be brighter than the 2026 Oct 1 - Dec 31 median by more than 0.3 mag despite the continuing 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1.8 mag I-band shortfall came from a trend fitted across observers whose I zero points differ by up to 1 mag (GSAD 11.57 vs MMIP 12.73 in 2026, no observer spans 2019-2021 and 2026). Replaced by the maximum-to-maximum statement in C10, which rests on the pulsation maxima each observed by at least one observer with many points."},"digest":"6bc0da1f42f96fc3","digest10":"6bc0da1f42f96fc3","author":"unknown-agent","at":"2026-11-03T18:20:50+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K47","tool":"add_claim","args":{"id":"C10","tag":"computed"},"digest":"42bec6cece90036e","digest10":"42bec6cece90036e","author":"unknown-agent","at":"2026-11-03T18:20:51+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K48","tool":"add_claim","args":{"id":"C11","tag":"computed"},"digest":"32d33aa7eb243195","digest10":"32d33aa7eb243195","author":"unknown-agent","at":"2026-11-03T18:20:52+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K49","tool":"add_claim","args":{"id":"C12","tag":"computed"},"digest":"4dc04fe668cd7587","digest10":"4dc04fe668cd7587","author":"unknown-agent","at":"2026-11-03T18:20:53+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K50","tool":"register_prediction","args":{"id":"P4","check":{"series":"AAVSO:I","start":61557.0,"end":61679.0,"statistic":"median","baseline":[61314.0,61405.0],"op":"<","value":-0.3}},"digest":"6ce16069d747b99d","digest10":"6ce16069d747b99d","author":"unknown-agent","at":"2026-11-03T18:20:54+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K51","tool":"add_claim","args":{"id":"C13","tag":"observed"},"digest":"856e2fa12440efc9","digest10":"856e2fa12440efc9","author":"unknown-agent","at":"2026-11-03T18:22:16+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K52","tool":"update_hypothesis","args":{"hypothesis":"H1","status":"live","confidence":0.4,"reason":"Ikonnikova et al. (2026) see no near-infrared reddening (J-H bluer, K-L and L-M flat) through 2025, which a thickening dust screen in front of the Mira should produce unless the grains are large or the screen is optically thick and grey. The red-heavy optical fade still fits an obscured Mira, but no longer favours dust over a changing hot component."},"digest":"6bc0da1f42f96fc3","digest10":"6bc0da1f42f96fc3","author":"unknown-agent","at":"2026-11-03T18:22:17+00:00","oddsky":"0.3.1","platform":"darwin-arm64"},{"id":"K53","tool":"update_hypothesis","args":{"hypothesis":"H2","status":"live","confidence":0.35,"reason":"The R band carries the nebular H-alpha line, so a declining hot component lowers R as well as B and V; Ikonnikova et al. find H-beta down since 2021 and attribute the colour behaviour to the hot component. What this hypothesis still has to explain is the I-band maxima sinking 1.3 mag while H-beta fell by a factor of about 1.4 (0.4 mag)."},"digest":"6bc0da1f42f96fc3","digest10":"6bc0da1f42f96fc3","author":"unknown-agent","at":"2026-11-03T18:22:18+00:00","oddsky":"0.3.1","platform":"darwin-arm64"}],"investigations":[{"file":"claude-fable-5.1-2026-11-03.md","markdown":"# HM Sge, fifty years on: the fade that Goldman et al. (2022) caught starting\n\nInvestigator: Claude Fable 5.1 through the Oddsky tools, 2026-11-03. Asked by Steve Goldman via Alan: \"anything interesting on\nHM Sagittae?\" Case opened by coordinates (SIMBAD at CDS was down); data: AAVSO (B, V, R, I, visual, 1977-2026), Gaia DR3 epoch\nphotometry (2014-17), ZTF g (saturated in r), NEOWISE (saturated, useless), AllWISE (saturated); ATLAS and TESS were still\nqueued when this was written. Every number below has a ledger receipt (K-ids); `oddsky replay OS-0036` reproduces them.\n\n## What the archives say (claims C1-C12; C5 retracted)\n\n1. **HM Sge has faded in every band since 2021-22 and is still fading.** Between 2019.0-2021.5 and 2026.0-2026.9 the AAVSO\n   medians moved: V 12.22 \u2192 13.18 (+0.95 mag), B +0.90 (one observer, DFS; a second observer's 2026 B is 0.45 fainter still),\n   visual +0.90, R 11.00 \u2192 12.65 (+1.65, five observers at each end agreeing to \u00b10.2) (K12-K16, K42-K43). The V levels at\n   both ends are set by five or more observers agreeing to 0.1 mag (C10). The V changepoint is 2023 Jan 27 (+0.54 mag step,\n   K20); yearly medians fall 0.2-0.3 mag/yr through November 2026 with no flattening (`figures/aavso_2008_2026.png`).\n2. **The star is at its faintest since the 1975 outburst**: visual 13.1 against 10.6 in 1977-85 (K21). The 1977-2021 record is a\n   smooth decline to 12.2; nothing like the present fade occurred before.\n3. **The fade is red-heavy.** Same-night pairs from one observer: R moves 1.73\u00d7 V (1,528 pairs, r = 0.986) and B 1.04\u00d7 V\n   (K44, K45); V\u2212R went from 1.3 (2018-2021) to 0.53 (2026) while B\u2212V stayed at 0.45-0.5. For dust in front of a single source\n   the slopes would be 0.81 and 1.32; the opposite ordering means the light being lost is redder than what remains: the\n   Mira's light is leaving the sum faster than the nebula's.\n4. **The Mira's clock is untouched, and its maxima are sinking.** I-band maxima: 10.19 (2021.51), 10.69 (2023.15), 11.50\n   (2026.11), each from an observer with dozens of points: 1.3 mag in 4.6 yr at the same phase (C11). Lomb-Scargle on I gives\n   530 d for 2008-2021.5 (K17; literature 527-534 d) and the detrended 2022.5-2026.9 data still pulsate at ~540 d with 0.9 mag\n   amplitude. The I band is otherwise unreliable across observers (2026 levels differ by 1.2 mag between observers), which is\n   why the earlier \"1.8 mag below trend\" statement (C5) is retracted.\n5. **The 2018-2021 \"high-activity episode\" of Ikonnikova et al. (2026) is in AAVSO V**: +0.24 mag over 2014-17 (K22).\n6. Gaia DR3 2014-17: G 11.57-12.10 over 70 transits, the pulsation; RUWE 5.74 (a photocentre moving with the pulsating,\n   nebula-embedded Mira; the Skeptic warns). NEOWISE: five saturated visits, nothing usable (K23).\n7. **TESS sees no flickering** (C9, K40): five sectors from 2019 to 2024, including 2021 Jul-Aug at the onset of the fade,\n   with sub-day scatter of 1-2 mmag and no periodic signal above a few mmag. Whatever the white dwarf is doing, it does not\n   show on hours timescales in the optical at this level (the nebula and the Mira dilute it; SPOC contamination 25-33%).\n\n## What is already known (novelty, honestly)\n\nIkonnikova et al. 2026 (Astron. Rep. 70, 561; arXiv:2603.11777): UBV 2003-2025 fading at ~0.05 mag/yr to 2018, a 0.3 mag\nbrightening peaking in 2021, then \"a decline by 2025 to the faintest level in five decades\"; JHKLM 2009-2025 with P = 532 d and\n\"long-term variability driven by changes in the optical depth of the dust shell\"; first [Fe X] detection; a 46-yr periastron\nhypothesis linking 1975 and 2018-21. Goldman et al. 2024 (ApJ 961, 14): SOFIA/HST, dust output unchanged over 39 years, hot\ncomponent hotter than 250,000 K. Hack et al. 2025 (HST GO 18051): a jet in the April 2021 HST images, and the late-2021 dimming\nread as \"a new powerful mass ejection and dust formation\". Toal\u00e1 et al. 2023: an extremely soft X-ray component, periodic\nejections suggested.\n\nSo the fade itself is reported. **What this investigation adds:** the record to November 2026 (one year past the published\ndata, still falling at 0.2-0.3 mag/yr); the wavelength dependence (R and I lose twice what B and V lose), which separates the\nMira's light from the nebula's; the untouched 540-d pulsation through the fade; and three sealed-style predictions.\n\n## Hypotheses (H1-H3), after reading Ikonnikova et al. (2026)\n\nTheir paper (UBV + JHKLM to 2025; no AAVSO, no R or I) says the near-infrared fell to early-1990s levels, that J\u2212H went\n*bluer* while K\u2212L and L\u2212M did not change, that \"the expected reddening of colour indices was not observed\", and that the Raman\nO VI and H\u03b2 behaviour point to the hot component. They set a dust-formation episode aside on those grounds. Our optical\ncolour result (R fades 1.73\u00d7 V, B 1.04\u00d7 V) is in neither paper, but it does not settle the question by itself, because the R\nband also carries the nebula's H\u03b1.\n\n- **H1 (0.40): new dust from the 2018-21 ejection obscuring the Mira** (the HST GO 18051 reading). Fits the red-heavy fade and\n  the sinking I-band maxima; would need large grains or an optically thick, grey screen to leave J\u2212H bluer. Test: the\n  3-20 \u00b5m dust emission (new warm dust should add flux; JWST or a ground N-band point).\n- **H2 (0.35): the hot component and the nebula it ionizes are declining** (Ikonnikova's reading). Explains B, V and part of R\n  (H\u03b1); has to explain the I-band maxima sinking 1.3 mag while H\u03b2 fell by only ~0.4 mag. Test: H\u03b1 flux versus R, and whether\n  the I-band maxima keep sinking.\n- **H3 (0.20): an optical-depth cycle of the pre-existing dust shell**, distinguished from H1 by the absence of new warm dust.\n\n## Predictions (P1-P3, registered in the case; not yet on the public ledger)\n\n- P1 (0.7): AAVSO V median over 2027 Jun-Dec fainter than 13.35.\n- P2 (0.6): Gaia DR4 G median over 2019 Jan-2020 Jan brighter than the 2014.6-2017.5 median by > 0.1 mag (the activity episode).\n- P3 (0.6): the I-band maximum near 2027 Jun 19 makes the 2027 May-Aug I median > 0.3 mag brighter than 2026 Oct-Dec. **Superseded\n  by P4** (0.65): timed from the observed 2023.15 and 2026.11 maxima the next one falls in 2027 Jun-Sep, window 2027 Jun 1 - Oct 1.\n\n## For Steve\n\nThe AAVSO B/V/R/I series from 2021 on are dominated by a few observers (DFS, GZN, PYG, BRJ; 89 contributors overall), so the\nwavelength dependence rests on their filter calibrations; the Skeptic finds all bands moving together. The one measurement that\nwould settle H1 versus H3 is the mid-infrared: whether the 3-20 \u00b5m dust emission rose after 2021 (SOFIA is gone; JWST or a\nground-based N-band point would do). TESS is in (no flickering, above). ATLAS orange/cyan forced photometry 2015-2026 was still queued at writing; it will\ngive an independent record of the fade on nightly cadence.\n"}],"reviews":[]}