Guided Auxiliary Structure Discovery (GASD): A Symmetry-Constrained Method for Latent Structure Inference

This work introduces Guided Auxiliary Structure Discovery (GASD), a conservative, falsifiable methodology for introducing auxiliary structure only when explanatory dependency exceeds stated boundary conditions. GASD formalises bidirectional inference, symmetry-constrained pruning, and explicit admission gates (necessity, minimality, symmetry preservation, falsifiability). The method is domain-agnostic and serves as the unifying methodological backbone for SHRF-based analyses across biology, materials, fluids, and cosmology. This record advances no new empirical claims and is intended as a standalone methodological reference. Keywords guided inference auxiliary structure dependency mismatch symmetry constraint…