The 2825-Second Periodicity of GRB 250702BDE Explained by Viscous Disk Timescales

This study was motivated by the extraordinary discovery reported in a recent arXiv preprint (July 2025, arXiv:2507.14286): the repeating gamma-ray burst GRB 250702BDE, which produced three distinct pulses separated by ~2825 s. This event offered the first clear observational signature of a “viscous clock” operating in an accretion disk around a compact object, likely an intermediate-mass black hole. Building on this, we introduce a dual-clock framework for radiation–gravity systems. The Eddington clock (τ_Edd ≈ 3.9×10^8 yr) sets a universal, mass-independent ceiling for quasi-static stellar envelopes near the Eddington limit (e.g., LBVs and WR stars). The viscous disk clock (t_visc) explains the recurrence times in compact accretion phenomena, including repeating GRBs. By combining these two timescales, we show how the same radiation–gravity principles govern both stellar envelope stability and compact-object variability, linking LBVs, Wolf–Rayet stars, and repeating GRBs within a single unified framework. .