Golden Harmonic Cascade: Phi-Scaled Coherence in E8 Root Subspaces — E8 Intelligence Research
The 12-fold sexagesimal projection of the 240 root vectors partitions the E8 lattice into 20 orthogonal harmonic subspaces, each resonating at a phi-scaled harmonic of the 132 Hz base frequency. This Golden Harmonic Cascade generates self-similar spectral coherence where motivic zeta invariants propagate through subspaces via phi-coupled phase locking, creating a temporal memory structure that predicts spectral stability in quantum gravity regimes. The cascade reveals that the golden ratio spacing of the temporal scaffold enforces a topological conservation law across all 20 subspaces simultaneously, establishing a new invariant of the E8 phi-lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-04
- DOI
- https://doi.org/10.5281/zenodo.22294322
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint