Projection-Based Structured Spectral Decomposition Under Proper Autocorrelation-Preserving Nulls

This archive contains the full post-hostile-audit reconstruction of the C32 framework. The original discovery-level claims based on independent label-shuffle nulls were found to be invalid for autocorrelated spectral systems. After proper autocorrelation-preserving null correction (cyclic block-shifts, block bootstrap, stationary surrogates), prior discovery-level significance claims collapsed toward null-consistent behavior. The surviving contribution is methodological and includes:- projection-based spectral decomposition,- orthogonal residualization,- frozen-Ubg protocol,- autocorrelation-aware null geometry,- hostile-audit reproducibility framework. The archive contains:- the full methodological paper,- reproducibility scripts,- datasets,- synthetic controls,- projection decomposition experiments,- deprecated-claim traceability archive,- master provenance map. Mathematical core:Uc = βcan Ubg + Uspecific with canonical projection coefficient: βcan = <Uc,Ubg>/<Ubg,Ubg> and orthogonality condition: <Uspecific,Ubg> = 0 Scientific positioning:C32 is presented as a bounded autocorrelation-aware projection decomposition methodology for spectral systems, not as a universal detector or new physical law. The archive documents:- failure of naive iid label-shuffle nulls,- significance inflation under autocorrelation destruction,- reconstruction under proper null geometry,- survival of the projection-decomposition framework after hostile audit. This work is intended as a reproducible methodological contribution in spectral analysis and autocorrelation-aware statistical decomposition.