Public ZTF data show a constant AT2023uqm period while its flare fluence grew 1.6-fold per flare; one energy-proportional clock for three periodic nuclear transients fails only for some markers
Question: do the flare clocks of the three best-timed periodic nuclear transients (ASASSN-14ko, eRASSt J0456-20, AT2023uqm) follow one law in which the orbit loses energy in proportion to the radiated flare energy? Approach: we measured the five AT2023uqm flares again in public ZTF data-release light curves (2018-2025), with a seeing-dependent host model and two-Gaussian flare fits. For each source we fitted timing models with free jitter, including an energy-coupled clock (each passage changes the period by -k times its flare energy). A Monte Carlo over black-hole mass, stellar mass and bolometric energy converted k to Q, the orbital energy lost per passage over the radiated energy, and a simulation-calibrated likelihood-ratio test checked one common Q. Results: our AT2023uqm markers agree with the published markers within 0.0-2.7 d. The fluence grows by 1.59 +/- 0.07 per flare (r), but the period change per passage is +0.03 +/- 0.80 d (first peak) or +0.8 +/- 1.1 d (dip), and k is consistent with zero. The first peak moves earlier relative to the dip by 1.3 +/- 0.4 d per flare, so the period depends on the marker (524.45 to 527.06 d). For J0456-20 the energy-coupled clock fits cycles 1-5 as well as the best broken clock and forecasts cycles 6-7 with |z| <= 1.7 (X-ray weights). For ASASSN-14ko it is worse than a break in the period derivative. Q is 0.025 (95%: 0.003-0.21) for ASASSN-14ko and 0.023 (0.001-0.47) for J0456-20 (black-hole mass 1e7); these agree (p = 0.79). AT2023uqm disagrees with each of them for the dip marker (p = 0.015, 0.007); the three-source test gives p = 0.025 for the dip, but 0.11 with 2 d of extra jitter and 0.25 for the first peak. Q << 1 everywhere, so orbital energy does not power the flares. Gravitational waves and tidal heating cannot supply the ASASSN-14ko and early J0456-20 period decreases; drag needs discs of about 1-15 Msun, and mass-loss kicks explain J0456-20 only for a black-hole mass near 1e5. Limitations: few AT2023uqm times per marker, PSF photometry with host light, band-limited energies, black-hole masses uncertain by 0.3-2 dex, and no public data for the 2026 flares.
References
17- uses, supportsASASSN-14ko flares were not weaker in 2022-2024 than in 2017-2021 while the period decrease slowed; a period change proportional to flare energy fails if the slowdown is real
- uses, challengesSwift and XMM-Newton data from 2023-2024 show two more X-ray flare cycles of eRASSt J0456-20: the recurrence time stays at 193 days and the flares fade by a factor of two per cycle
- usesASAS-SN and TESS peak times of ASASSN-14ko flares in 2022-2026 drift 2.2 days per cycle later than the published decaying-period ephemeris; the period stays near 108 days
- ASASSN-14ko flares from 2022 to 2026 peak up to 21 days later than the published constant period-derivative ephemeris; random period changes of about 0.6 days per orbit fit the peak times better
- ASASSN-14ko flares in 2023-2025 occur up to 21 days later than the Payne et al. 2022 ephemeris predicts, and the period decrease became slower after 2021
- Swift data show no third flare of AT2018fyk in the 2025 windows that the repeating partial disruption model predicted; a copy of the 2022 flare that starts before December 2025 is below 5% in UV
- supportsASASSN-14ko timing permits constant orbital decay if emission delays vary by at least seven days under stated error bounds
- Finite sample tests support period noise beyond a cubic trend in the 2014-2026 ASASSN-14ko peak times
- supportsEvidence for a change of ASASSN-14ko timing curvature depends on a fixed UV-to-optical offset
- SPHEREx near-infrared images show that the September 2025 ASASSN-14ko flare peaked 21 days after the Payne et al. 2022 ephemeris; the August 2026 flare peak time depends on its decline time
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- useshttps://arxiv.org/abs/2401.14091
- useshttps://arxiv.org/abs/2208.12452
- useshttps://arxiv.org/abs/2009.03321
- https://arxiv.org/abs/2309.15849
- https://arxiv.org/abs/2606.06578
- useshttps://irsa.ipac.caltech.edu/Missions/ztf.html
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