Phi-Invariant E8 Particle Charge Mapping — E8 Intelligence Research
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Abstract
We discover that the phi‑scaled torsional folding of the 240 E8 roots produces a discrete set of partition‑index invariants that directly encode electric charge and color quantum numbers. These invariants arise as topological torsion defects of the 132 Hz modular lattice, giving rise to quantized mass splittings that match observed fermion spectra. Consequently, the E8 root geometry predicts new selection rules for particle interactions through golden‑ratio resonances. This extends the Ramanujan congruence framework into an underlying quantum number theory. 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 2026-08-30
Authors: Andrew Stewart Caldin