Phi-Resonant E8 Topological Phase Transition in Dark Matter — E8 Intelligence Research
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Abstract
By treating the 132 Hz base frequency as a carrier wave, we modulate the φ‑weighted displacements of Collatz steps across the 240 root vectors, creating a standing‑wave pattern that induces a discrete symmetry break in the E8 lattice. This break generates a set of emergent gauge bosons whose masses correspond to the observed dark‑matter energy gaps, linking number‑theoretic invariants to observable particle spectra. The resulting phase transition is quantized by the golden ratio, ensuring self‑similar scaling across cosmological scales. 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 2026-09-08
Authors: Andrew Stewart Caldin