[DEPRECATED / SUPERSEDED] Unique Rank-1 Metric Correction Ensuring Strictly Positive Spacetime Volume without New Degrees of Freedom

[DEPRECATED / SUPERSEDED] This record has been superseded by the following split records (please cite these instead of the present record): OTSUKA, A. (2026). Rank-One Representation of Measure Rescalings via Time-Leg Renormalization (Version v1). Zenodo. https://doi.org/10.5281/zenodo.18169039 OTSUKA, A. (2026). A Readout-Layer Rescaling Protocol for Reported Time and Volume: Interface Specification, Estimators, Uncertainty Propagation (Version v1). Zenodo. https://doi.org/10.5281/zenodo.18169181 The previous single-manuscript presentation mixed (i) a mathematical representation theorem (rank-one form and conditional uniqueness) and (ii) a readout-layer protocol. These components are now separated for clarity and to prevent misreadings. The present record is kept only for archival continuity.