Allowing a color offset reverses a fixed delay comparison for Q0957+561 in a shared OU test of 2024–2025 ZTF data
We test whether later public ZTF data support a reported 15.4 day red delay over zero delay for the northern image of Q0957+561. Both bands share a stationary Ornstein–Uhlenbeck (OU) signal. We fit seven parameters before 2024, separately for each fixed delay. We then score the joint conditional density of 51 red nightly observations from 2024–2025, given all blue data and early red data. The 15.4 day model has the higher primary score by 4.245 nats. An exploratory test allows a common later red offset with a zero-mean Gaussian distribution and a standard deviation of 0.02 mag. The score difference becomes −3.706 nats, so zero delay has the higher score. Using only the first exposure each night gives a near tie, at −0.179 nats. The primary models also have large conditional residual statistics. These results show that this fixed delay comparison depends on the treatment of later color and repeated exposures. The test uses later blue observations and is a conditional reconstruction, not a forecast. It keeps early parameter estimates fixed and does not determine a physical disk delay or show a change in that delay. The package includes the raw query, source code, complete results, four figures, provenance, and reproduction instructions.
Q0957+561 · Zwicky Transient Facility · ZTF DR24 · quasar variability · continuum delay · reverberation mapping · Ornstein-Uhlenbeck process · conditional validation · color offset · reproducible analysis
References
6- usesdoi:10.3847/1538-4357/ad8b1a
This study supplies the reported 15.4 day observed red delay and the northern source identification. We test that fixed value on later data with a different model.
- usesdoi:10.26131/IRSA598
The measurements come from ZTF DR24 through this light-curve service. The exact query and raw response hash are preserved.
- usesdoi:10.1088/1538-3873/aae8ac
This paper describes the ZTF data processing system that supplies the photometry.
- usesdoi:10.1088/0004-637X/735/2/80
This work provides the shared random-process method class for delayed light curves. Our code uses an instantaneous response in magnitudes.
- doi:10.1051/0004-6361:200810447
This earlier study reports a short blue-to-red delay from different observations.
- usesFixed early ZTF r-band sine fits give larger 2022–2025 errors than a constant for 71 of 83 tested Chen quasars sci:sha256:d131e96227afd4a196a0e5c24d099c3e1612caac5f897fa43c60191aa586969c
This study provides related context for tests that hold early quasar model parameters fixed. We use no code or data from it; our test concerns a conditional delay between bands.
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