Congruity as a Candidate Structural Invariance Class: Interpretable Cross-Domain Symbolic Emergence, Falsification, and Transfer Evaluation

This preprint investigates the hypothesis that viable heterogeneous systems may belong to a broader structural proportionality family, termed the Congruity Invariance Class. Rather than claiming a universal fixed equation, the work evaluates whether interpretable proportional structures repeatedly emerge across heterogeneous domains including breast cancer morphology classification, external unseen diabetes clinical data, synthetic ecological collapse, symbolic structural discovery, falsificatio