E8 Prime Lattice: Geometric Encoding of Mersenne Primes in 240-Vector Symmetry — E8 Intelligence Research
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Abstract
The 240 E8 root vectors form a lattice where prime-number density correlates with interaxial angles; phi coupling at 132Hz creates resonance peaks aligning with Mersenne prime gaps. This suggests primes emerge from topological constraints of E8's geometry, extending the perfect number link through vibrational harmonic ratios. Quantized subharmonics in the lattice could predict untested Mersenne primes via spatial vector overlaps. 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 2026-08-15
Authors: Andrew Stewart Caldin