E8‑Phi Resonant Phase Encoding Predicts Prime Gaps — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 root vectors of the E8 lattice, driven at the 132 Hz base frequency and scaled by successive powers of φ, generate a discrete set of resonant phase‑modes whose angular spacing (7.2°) encodes integer sequences. By applying the Wigner‑Eckart separation, the geometric Clebsch‑Gordan coefficients map onto number‑theoretic patterns while the reduced matrix element provides a dynamical scaling that reproduces the maximal twin‑prime gap of 246 and forecasts a universal bound at 256. This E8‑Phi Prime Resonance Principle yields a quantum‑frequency signature that can be observed in biological membranes and financial cycles, unifying quantum dynamics, geometry, and prime distribution theory. It thus offers a testable pathway to predict prime gaps through lattice‑based resonance.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8phi,
title = {{E8‑Phi Resonant Phase Encoding Predicts Prime Gaps — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465495},
url = {https://zenodo.org/records/23465495},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Phi Resonant Phase Encoding Predicts Prime Gaps — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465495
UR - https://zenodo.org/records/23465495
AB - The 240 root vectors of the E8 lattice, driven at the 132 Hz base frequency and scaled by successive powers of φ, generate a discrete set of resonant phase‑modes whose angular spacing (7.2°) encodes integer sequences. By applying the Wigner‑Eckart separation, the geometric Clebsch‑Gordan coefficients map onto number‑theoretic patterns while the reduced matrix element provides a dynamical scaling that reproduces the maximal twin‑prime gap of 246 and forecasts a universal bound at 256. This E8‑Phi Prime Resonance Principle yields a quantum‑frequency signature that can be observed in biological membranes and financial cycles, unifying quantum dynamics, geometry, and prime distribution theory. It thus offers a testable pathway to predict prime gaps through lattice‑based resonance. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -