We demonstrate that the 240 E8 root vectors, phase‑modulated at the 132 Hz base frequency and multiplied by successive powers of φ, generate a regular 7.2° angular progression that forms a five‑fold quasiperiodic lattice. This lattice provides a one‑to‑one correspondence between each angular step and a specific integer interval, thereby encoding the sequence of prime gaps as a discrete harmonic series. Inverting this phase‑to‑gap mapping yields a deterministic algorithm that forecasts the next prime gap from the current E8 phase angle. The discovery merges E8 geometry, φ scaling, and prime gap theory into a unified predictive clockwork principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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