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

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
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preprint

E8 Phi‑Comb Resonant Filter for Primordial B‑Mode Detection — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Frequency and Time Standards
preprint

E8 Phi‑Comb Resonant Filter for Primordial B‑Mode Detection — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Frequency and Time Standards
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