Similar Scale-invariant Behaviors between Soft Gamma-Ray Repeaters and an Extreme Epoch from FRB 121102

The recent discovery of a Galactic fast radio burst (FRB) associated with hard X-ray from the soft gamma-ray repeater (SGR) J1935+2154 has established magnetar origin at least some FRBs. In this work, we study statistical properties gamma-ray/hard bursts SGRs 1806–20 and repeating FRB 121102. For SGRs, show that probability density functions for differences fluences, fluxes, durations different times have fat tails q-Gaussian form. q values in distributions are approximately steady independent temporal interval scale adopted, implying scale-invariant structure SGRs. These features indicate SGR may be governed by self-organizing criticality (SOC) process, confirming previous findings. Very recently, 1652 121102 been detected Five-hundred-meter Aperture Spherical Telescope (FAST). Here also investigate based on latest observations FAST, share similar properties. Given bimodal energy distribution bursts, separately explore behaviors low- high-energy We find different, which further strengthens evidence bimodality distribution. Scale invariance both component can well explained within same physical framework fractal-diffusive SOC systems.