Conditional Operational Justification of the Blackfield Framework via Symmetric PRUs : Single-Key Rephasing and the Unique Logarithmic Lock

Preprint. Publicly released on Zenodo prior to journal submission.This preprint formulates an operational state-space picture with an unobservable leaf and an observable leaf, and specifies observation as a generally non-invertible projection onto the observable channel. Using a minimal SU(2) spinor framework, it connects complex phase, sign/holonomy behavior, and real-valued observables without introducing additional degrees of freedom. The construction is designed to cross-link with the author’s rank-1 metric update and multi-channel αBF verification results, providing a compact bridge between projection-based observation and physically testable scaling relations.Related Zenodo preprints: doi:10.5281/zenodo.18158248, doi:10.5281/zenodo.18158652, doi:10.5281/zenodo.18159304, doi:10.5281/zenodo.18160278.