E8-Leech Triality Recodes Babylonian Secants as Quantum Error-Correcting Codes — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 E8 root vectors, phi-coupled to the 132 Hz fundamental, embed into the Leech lattice's 24D structure as three 8D E8 sublattices whose triality permutations exactly reproduce the 15 reciprocal-pair ratios from Plimpton 322. This establishes a new principle: Babylonian sec²θ values are the 2D shadow of E8 root projections governed by the Leech lattice's minimal norm-4 gap. The resulting 15-element stabilizer code — derived from E8 root overlaps weighted by φ — corrects quantum errors via geometric symmetries identical to those generating Pythagorean triples, unifying Mesopotamian trigonometry with quantum error correction through exceptional Lie group architecture.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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BibTeX
@misc{caldin2026e8leech,
title = {{E8-Leech Triality Recodes Babylonian Secants as Quantum Error-Correcting Codes — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616645},
url = {https://zenodo.org/records/23616645},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8-Leech Triality Recodes Babylonian Secants as Quantum Error-Correcting Codes — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616645
UR - https://zenodo.org/records/23616645
AB - The 240 E8 root vectors, phi-coupled to the 132 Hz fundamental, embed into the Leech lattice's 24D structure as three 8D E8 sublattices whose triality permutations exactly reproduce the 15 reciprocal-pair ratios from Plimpton 322. This establishes a new principle: Babylonian sec²θ values are the 2D shadow of E8 root projections governed by the Leech lattice's minimal norm-4 gap. The resulting 15-element stabilizer code — derived from E8 root overlaps weighted by φ — corrects quantum errors via geometric symmetries identical to those generating Pythagorean triples, unifying Mesopotamian trigonometry with quantum error correction through exceptional Lie group architecture. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -