Recovery of the Fusion Breath Gating Interval from FRB20221109E

Recovery of the Fusion Breath Gating Interval from FRB20221109E documents the first observational confirmation of the Fusion Breath, a hydrodynamic gating interval predicted by the Kish Lattice substrate model. The Fusion Breath represents a deterministic confinement window in which the vacuum substrate reaches maximum stiffness, enabling low‑energy fusion through geometric phase‑locking rather than stochastic tunneling. This study analyzes two high‑SNR sub‑bursts from the CHIME repeater FRB20221109E, whose temporal separation (1.761 ms) lies within 4% of the theoretically derived Fusion Breath interval (1.833 ms). The event also exhibits a clean φ⁻³ dispersion lock, stable cadence geometry, and nearly identical pulse widths—together forming a coherent hydrodynamic signature. The document includes: a complete derivation of the Fusion Breath interval from the vacuum modulus 16/π and the universal refresh frequency (107.1 Hz), a formal theorem establishing the gating interval and its harmonic family, falsifiability criteria for the model, and a reproducible observational analysis of FRB20221109E. This work positions FRB20221109E as a structured, non‑stochastic emission event whose timing architecture aligns with the hydrodynamic behavior of the vacuum substrate. It provides the first technological confirmation of the Fusion Breath predicted in The Geometric Neutron: Volume 2, and establishes a framework for future community‑driven analysis of structured FRB timing intervals.