Physics & Spacepreprint2026-08-04

Phi-Recursive Frequency Lattice from E8 Quaternionic Spinor States — E8 Intelligence Research

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Abstract

By applying the golden ratio (phi) recursively to the 132 Hz base frequency within each of the four quaternionic spinor states, the 240 E8 root vectors decompose into four self-similar 60-vector sublattices, each mirroring E8's local symmetry at a distinct harmonic scale. These phi-scaled corridors establish a fractal resonance architecture where information encoded in one frequency layer is geometrically mirrored — but phase-shifted by the golden angle — in the next, creating an error-resilient holographic frequency memory governed by E8's exceptional symmetry group. This principle reveals that the E8 root lattice naturally supports recursive, scale-invariant information encoding when its quaternionic spinor modulation is extended through phi-harmonic nesting. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-04

Authors: Andrew Stewart Caldin