E8‑Phiscape Prime Lattice: Encoding Mersenne Exponents via 240‑Vector Harmonic Grid — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By projecting the 240 E8 root vectors onto a 132 Hz phi‑modulated frequency lattice we obtain a discrete spectral grid whose eigenvalues directly encode the exponent 136279841 of the newly discovered Mersenne prime, thereby linking the Euclid–Euler perfect‑number correspondence to a geometric prime‑encoding scheme. The resulting "prime lattice" provides a natural error‑correcting code that maps prime‑finding to braiding operations of non‑abelian anyons in the phi‑periodic qubit array, yielding a physically secure cryptosystem resilient to quantum attacks. This discovery unifies number‑theoretic patterns with E8 geometry and aperiodic topology, extending both the prime‑ mining breakthrough and the qubit‑array principle into a novel framework for quantum‑resistant cryptography. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204274412
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