Galactic Expansion as a Signature of Resonant Celestial Torsion-Modulated Recursive Branching: Constraints from Gaia DR3

We demonstrate that the non-equilibrium galactic expansion observed in Gaia DR3 is a natural macroscopic signature of Torsion-Modulated Recursive Branching (TMRB) in a resonant celestial holography framework. A discretized soft graviton theorem modulated by Z_9 gyroid torsion and characterised by a single differential branching parameter eta_diff reproduces the Karapetian et al. (2025) radial velocity field (global means 3-9 km/s; sectoral values up to 50 km/s) with best-fit eta_diff = 0.789 +/- 0.072, consistent with the independently calibrated value eta_diff ~ 0.82. The framework makes falsifiable predictions for vertical wave-crest timing, sector-velocity correlations, and early-universe structure formation. Python simulation code and Jupyter notebook included. Paper 30 in the PTRH (Prismatic Torsion Recursive Holography) series.