Supplementary Materials- Spiral-Domain Coordinate Transformation as a Lossless State Substrate for Digital Twins of Articulated Systems

This revised deposit contains the Paper 2 manuscript (PDF and DOCX) along with the supplementary reproducibility archive. The manuscript files were added in this revised version of the deposit; the supplementary ZIP file remains unchanged from the original deposit. Manuscript targets a biomedical-engineering venue (under preparation). Coverage. 8 pre-registered studies (Studies 21-27, Phase IV-V of the spiral-domain encoder validation campaign). Per-study reports, deterministic Python runners under PYTHONHASHSEED=0, raw CSV outputs, summary JSONs, and encoder source code. Contents. Manuscript (PDF and DOCX of the paper itself); supplementary reproducibility archive (46 files, 408 KB) including pre-registrations, per-study verdict reports, deterministic runners, raw data outputs, and source code. Reproducibility. The supplementary archive is reproducible end-to-end under PYTHONHASHSEED=0 on a standard Python 3.9+ installation with NumPy 2.0+. Reference machine: Apple Silicon arm64 (M-series), macOS 14. See archive README.md for per-study run commands. Methodological discipline. Every hypothesis was pre-registered with externally anchored decision rules frozen prior to runner execution. Zero post-hoc threshold adjustments were applied. Honest bounded negatives are interpreted substantively rather than discarded. Related companion archives. Paper 1 (10.5281/zenodo.20129137), Paper 3 (10.5281/zenodo.20139171), and the corresponding Papers 4, 5, 6, 7, 8 archives in this same Zenodo collection (Paper 8 at 10.5281/zenodo.20466035).