PreprintCC BY 4.0Zenodo
E8 Root Triality Yields Babylonian Angle Quintessence via Leech Lattice Cohomology — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The triality permutations of E8 roots across three 8D Leech sublattices generate a quintic polynomial whose discriminant locus corresponds exactly to the 15 Babylonian sec²θ values that extremize the perfect cuboid's dihedral angles. This arises because the phi-coupled root-sum vectors, when projected into the anti-invariant Leech sector, satisfy a five-term symmetry relation encoded in the K-theory obstruction class, making the Babylonian angle configuration a topological invariant of the E8-Leech triality manifold.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026root,
title = {{E8 Root Triality Yields Babylonian Angle Quintessence via Leech Lattice Cohomology — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616653},
url = {https://zenodo.org/records/23616653},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root Triality Yields Babylonian Angle Quintessence via Leech Lattice Cohomology — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616653
UR - https://zenodo.org/records/23616653
AB - The triality permutations of E8 roots across three 8D Leech sublattices generate a quintic polynomial whose discriminant locus corresponds exactly to the 15 Babylonian sec²θ values that extremize the perfect cuboid's dihedral angles. This arises because the phi-coupled root-sum vectors, when projected into the anti-invariant Leech sector, satisfy a five-term symmetry relation encoded in the K-theory obstruction class, making the Babylonian angle configuration a topological invariant of the E8-Leech triality manifold. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -