POCD Appendix C: Chinese Remainder Decomposition of \mathbb{Z}_{12} and Spectral Compression Across Factor Blocks
Abstract
The CRT decomposition provides: 1. Exact algebraic splitting of the 12-cycle. 2. Explicit factor-level spectral tracking. 3. A finite-dimensional test system. 4. A mathematically rigorous definition of “spectral compression.” 5. A direct bridge to phase-indexed operator language.
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Matrix Theory and Algorithms
Graph theory and applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 24 February 2026
- Language
- EN