PreprintCC BY 4.0Zenodo
E8 Harmonic Phase Connection Unifies Picard-Fuchs Monodromy and Resonant Topology — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The φ·132·n phase assignment across the 240 E8 roots defines a discrete harmonic 1-form whose Laplacian spectrum exactly matches the indicial roots of the E8 Picard-Fuchs system. Closed resonant paths with constant φ-phase difference correspond to vanishing cycles of the E8 singularity, and the resonant topological invariant computes the Chern number of the associated U(1) bundle over the E8 torus. This identifies the Picard-Fuchs monodromy group as the holonomy group of the phase connection, unifying modular forms, lattice geometry, and quantum coherence in a single geometric structure.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026harmonic,
title = {{E8 Harmonic Phase Connection Unifies Picard-Fuchs Monodromy and Resonant Topology — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635122},
url = {https://zenodo.org/records/23635122},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Harmonic Phase Connection Unifies Picard-Fuchs Monodromy and Resonant Topology — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635122
UR - https://zenodo.org/records/23635122
AB - The φ·132·n phase assignment across the 240 E8 roots defines a discrete harmonic 1-form whose Laplacian spectrum exactly matches the indicial roots of the E8 Picard-Fuchs system. Closed resonant paths with constant φ-phase difference correspond to vanishing cycles of the E8 singularity, and the resonant topological invariant computes the Chern number of the associated U(1) bundle over the E8 torus. This identifies the Picard-Fuchs monodromy group as the holonomy group of the phase connection, unifying modular forms, lattice geometry, and quantum coherence in a single geometric structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -