Entropy-Response Gravity: Multi-Scale Tests from Dwarf Galaxies to Cluster Mergers

We present seven additional empirical tests of Entropy-Response Gravity (ERG), extending the multi-scale validation programme of Paper I (DOI: 10.5281/zenodo.19077317). ERG is built on the acceleration law g = g_b + √(a₀ g_b) where a₀ = 1.2×10⁻¹⁰ m s⁻², formally equivalent to the AQUAl scalar-field framework of Bekenstein & Milgrom (1984) at galaxy scales, while additionally incorporating a thermodynamic entropy source term β·σ in cluster environments.The seven tests span: wide binary stars (Chae 2025/2026, consistent at 1.24σ); KiDS-1000 weak lensing across four stellar mass bins (residual range 0.034 dex across log M★ = 9–11.5); 31,404 ALFALFA HI-selected galaxies (BTFR normalisation residual +0.007 dex); 15…