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Fast Radio Bursts (FRBs), are high-energy phenomena with significant
implications for understanding fundamental physics and cosmological evolution.
Recent observations by the Five-hundred-meter Aperture Spherical Telescope
(FAST) of FRB 121102, FRB 20220912A, and FRB 20201124A have revealed their high
burst rates and distinctive energy distribution and temporal properties. These
observations unveil scale invariance in the time intervals between bursts, a
feature consistent across different fluence thresholds. Particularly, the
waiting time distribution of these FRBs exhibits a unified scaling law,
resembling the functional form observed in solar flares more than in
earthquakes. This finding challenges previous models suggesting a closer
analogy to earthquake dynamics and instead indicates a possible origin in
magnetar magnetospheres. Our study explores the potential dynamic mechanisms
underlying these phenomena, focusing on the temporal clustering of repeating
FRBs and their similarity to solar flare dynamics within the framework of
self-organized criticality (SOC). We also discuss how this scale invariance
related to a more intricate dynamical mechanism behind their occurrence,
drawing similarities with various types of intermittency observed in solar
flares and other high-energy astrophysical events. This research highlights the
importance of understanding the SOC principles that might be common to these
diverse, yet similarly behaving burst events.

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