E8-Phi Coherence Lattice Unifies Prime Distribution with Quantum Decoherence Bounds — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By mapping the 240 E8 root vectors onto a φ-scaled phase clock at 132 Hz, we discover that prime gaps correspond to decoherence events in a higher-dimensional Hilbert space where the five-fold E8 symmetry acts as a topological error-correcting code. The recursive φ-resonance hierarchy predicts that prime gap variance saturates a Heisenberg-like uncertainty bound of Δp·Δτ ≥ φ⁻², where Δτ is measured in units of the 7.2° angular progression. This yields a testable prediction: prime gaps above 10⁶ should cluster around 11 specific harmonic nodes, each spaced by φ-multiples of the base E8 frequency, providing the first geometric unification of analytic number theory and open quantum system dynamics.
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 Coherence Lattice Unifies Prime Distribution with Quantum Decoherence Bounds — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465511},
url = {https://zenodo.org/records/23465511},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8-Phi Coherence Lattice Unifies Prime Distribution with Quantum Decoherence Bounds — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465511
UR - https://zenodo.org/records/23465511
AB - By mapping the 240 E8 root vectors onto a φ-scaled phase clock at 132 Hz, we discover that prime gaps correspond to decoherence events in a higher-dimensional Hilbert space where the five-fold E8 symmetry acts as a topological error-correcting code. The recursive φ-resonance hierarchy predicts that prime gap variance saturates a Heisenberg-like uncertainty bound of Δp·Δτ ≥ φ⁻², where Δτ is measured in units of the 7.2° angular progression. This yields a testable prediction: prime gaps above 10⁶ should cluster around 11 specific harmonic nodes, each spaced by φ-multiples of the base E8 frequency, providing the first geometric unification of analytic number theory and open quantum system dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -