Searching for Periodicity in FRB 20240114A
J. I. Katz
TL;DR
This study tests the magnetar-rotation hypothesis for FRB periodicity in FRB 20240114A by applying a periodogram to 11,553 bursts (including 3,196 within a 15628 s window) and by allowing for a possible spin-down rate $\dot{\omega}$. No significant periodic signal emerges, even when extending the search to frequencies up to $\sim100$ Hz and scanning $\dot{\omega} \in [-10^{-6},10^{-6}]$ s$^{-2}$, yielding a modulation-detection threshold of roughly $15\%$ for a 1 Hz modulation. Under a dipole-spindown framework with age $A_y\gtrsim1$ year, the non-detection imposes $\mu_{33} \leq 0.57 A_y^{-3/2}$, suggesting that either the emission is geometrically arranged to minimize detectable modulation or magnetar spin-down and beaming permit configurations where overall modulation remains small. The results constrain simple rotational modulation in FRB activity, indicating that magnetar FRB models must account for potential azimuthal symmetry, axis alignment, or alternative beaming geometries to reconcile with null periodicity evidence.
Abstract
FRB 20240114A is extraordinarily active, and therefore presents an opportunity to search for the periodicity predicted by magnetar models of Fast Radio Bursts (FRB). Zhang, et al. (2025) observed 11,553 bursts, including 3196 on MJD 60381 (March 12, 2024). We find no significant peak in the periodogram of those bursts, which occur within 15628 s, short enough that even with a characteristic slowing age of 1 year a signal with period $\ge 0.1\,$s it would not significantly dephase within the observation. Introducing modulation artificially shows that an amplitude of 0.15 would have been detected robustly.
