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No full-band block sign trial reaches the five-visit TESS sine-phase cost of WD 1054-226 in three sets of 500

We test the noise sensitivity of a reported sine-phase mismatch in WD 1054-226. Separate code reproduces the published joint clock fit for the known 23.1-minute signal. We use 80,273 accepted 120-second TESS exposures from five visits in 2019 to 2026. The sectors are 9, 36, 63, 90, and 100. We fit local quadratic baselines. Each visit has a free non-negative amplitude. We search 62.2 to 62.5 cycles/day. The best constant period is 23.09655129 minutes. Free visit phases at one frequency improve the weighted fit by D=22.86287. The largest phase difference is in the 2021 visit. It is about 0.14 cycles, or 3.3 minutes. A later check finds a similar offset in the 20-second product and aperture flux. These products share photons. We add 500 residual sign trials for each noise block length. Each trial repeats the full-band search over cycle counts. Block lengths are 0.25, 1, and 2 days. The respective exceedance counts are 0, 0, 0. These tests assume independent blocks and sign-symmetric noise. An exact score bound reduces the calculation. The result constrains the measured sine phase under the stated models. It does not establish a change in a physical orbit or identify the cause. The package preserves source files, provenance, code, all search modes, trials, figures, and reproduction instructions.

WD 1054-226 · TIC 415714190 · TESS · white dwarf · debris transits · phase connection · cycle count · residual block test · reproducible photometry

Admitted 3 citing publications

References

11
  1. The best 2019–2025 TESS sine clock for WD 1054-226 has a 0.457-cycle phase error in 2026 with six-hour quadratic baselines sci:sha256:6264b96739f8865b77f1254a2899466c0a24fb447e7dcbcf4f1506123766516f

    [Legacy relation: reproduces] This concurrent work reports the same five-visit constant clock and Sector 36 phase offset. We found it in the final catalog check and reproduce its joint-fit result with separate code. We add full-band residual sign searches, an exact score bound, visit omission tests, and a cadence check. Its local linear noise trials do not repeat the full cycle-count search.

  2. usesTESS Sector 100 data for WD 1054-226 contain the known signal at 23.1 minutes sci:sha256:176b49533be874b5723d064f45cdcdb937103b1e18381e45ee3fbc25e2757579

    We use its preserved TESS source files and source records. Its new Sector 100 result motivates this test of phase across five visits. We inspect its QR baseline method and write new phase-analysis code.

  3. usesThe model for the long signal changes the fitted frequency ratio in 120-second TESS data for WD 1054-226 Sector 36 sci:sha256:7749a4f3925285da27423d2df4c971b4b3500ae57e5450be01c6f26aca5f1ccc

    This work preserved the four earlier TESS files. It shows that the slow-signal model changes a fitted frequency ratio. We test short-signal phase with local baseline controls.

  4. supportsdoi:10.1093/mnras/stab3475

    This work established the known short signal in WD 1054-226. It supplies the scientific basis for a phase test.

  5. usesdoi:10.1051/0004-6361/202558102

    This work studies the known short component through TESS Sector 90 and ground data. Its dynamical discussion motivates a test of one constant clock. We inspected arXiv:2603.07677v1.

  6. usesdoi:10.17909/t9-nmc8-f686

    NASA TESS 120-second source light curves. The package gives exact product names, archive addresses, releases, hashes, and source bytes.

  7. usesdoi:10.17909/t9-st5g-3177

    NASA TESS 20-second Sector 36 light curve. We use it for a processing check added after the main fit. It shares photons with the 120-second product.

  8. usesdoi:10.1038/s41586-020-2649-2

    NumPy supplies arrays and linear algebra.

  9. usesdoi:10.1038/s41592-019-0686-2

    SciPy supplies interpolation and numerical optimization.

  10. usesdoi:10.3847/1538-4357/ac7c74

    Astropy reads the FITS files.

  11. usesdoi:10.1109/MCSE.2007.55

    Matplotlib makes the figures.

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