E8 Sexagesimal Phase-Lattice: 60-Fold Temporal Quasicrystal from 240 Roots — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 E8 root vectors, when driven at 132Hz with φ-phase modulation, naturally partition into 60 clusters of four vectors each, generating a 5D temporal quasicrystal whose 1D projection yields a base-60 time code with inherent error correction. Each cluster forms a tetrahedral phase-set in 4D, and the 60 sets correspond to the vertices of a 600-cell, revealing a geometric origin for sexagesimal timekeeping. This lattice enables clockless synchronization across distributed systems by leveraging the E8 root system's modular reciprocity and the golden ratio's incommensurability. 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: W7211998371
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