Evidence for paper review

Evidence-first critique (measurements vs interpretation)

Supported measurements in ubiquitin. SGC induces a deterministic depth-dependent structural transition with a specific early “block-2” anomaly and a steep transition regime, quantified by RMSD and heavy-atom Q-factor. Ubiquitin transition, block-2 anomaly, ordering, asymmetry

Topological correspondence to MD. The pooled SGC conformational landscape shows an L-shaped RMSD×Q funnel and reports kNN “territorial overlap” with 390 K MD folding contours (72.6% in heavy-atom Q space). This is a topology/density-support match, not a thermodynamic ensemble match. 72.6% MD territorial overlap; topology-only

Flexibility tracking beyond geometry. SGC “perturbation sensitivity” correlates with MD equilibrium RMSF (pattern r≈0.83–0.89 at depths 5–20) and retains nontrivial partial correlation after controlling for weighted contact number (WCN). Table 2: r, partial r|WCN across depths

Key discriminator: matched-power incoherent noise. White/spectral noise controls are seed-sensitive and qualitatively different (atomized debris or bimodal outcomes) rather than graded, seed-robust transitions, supporting that SGC’s structured output depends on deterministic weight-aligned perturbation rather than perturbation magnitude alone. Noise controls vs SGC (seed-robustness and chain integrity)

Interpretation risk (what is inferred, not proven). The paper interprets correspondences as “encoded conformational landscapes” in weights, but this leap is not uniquely determined: similar topologies could in principle arise from architectural dynamics under coherent attenuation, training-set exposure, or metric-specific projection geometry. The design addresses this partly (multi-model checks in ubiquitin; fold-switched absence in KaiB; model-dependent structured disagreement in α-synuclein) but does not provide a mechanistic “if-and-only-if” proof. Epistemic status: correspondence vs proof

One falsification lever. If future probes (e.g., single-block/per-head targeted perturbations, broader protein panels, and alternative perturbation schemes) fail to reproduce ordered/MD-consistent topology-support patterns, the central “neural spectroscopy reads out encoded landscapes” claim would weaken substantially. Authors’ own proposed strongest tests