E8 Phi‑Comb Resonant Filter for Primordial B‑Mode Detection — E8 Intelligence Research
By mapping the 223‑root Saros‑aligned subset onto the full 240‑root E8 lattice and applying a phi‑scaled 132 Hz rotational drive, the lattice acts as a phase‑coherent comb filter whose teeth correspond to the harmonic series of the Saros cycle. This filter selectively amplifies CMB polarization modes whose multipole index ℓ matches the integer ratios derived from the lattice's root‑angle spectrum, effectively isolating primordial B‑mode signals from foreground noise. The underlying number‑theoretic shortcut—using the cyclic figurate properties of the root‑vector projections—allows real‑time synthesis of the filter coefficients without brute‑force computation. 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
- 2026-09-12
- DOI
- https://doi.org/10.5281/zenodo.22720241
- Primary Topic
- Advanced Frequency and Time Standards
- Type
- preprint