E8 Mersenne-Prime Braid Topology Generates Perfect-Number Quantum Error Correction — E8 Intelligence Research

The 240 E8 root vectors, when phase-locked at 132φⁿ Hz, decompose into 8 concentric 30-vertex Petrie polygons whose anyonic braid group representations admit closed, non-intersecting trajectories ONLY at winding numbers matching the binary perfect number sequence (6, 28, 496, 8128…). Each such trajectory encodes a logical qubit with coherence time scaling as φᵖ × 132 Hz where p is the Mersenne exponent, yielding a geometrically intrinsic quantum error correction code where the binary structure of even perfect numbers (p ones, p−1 zeros) directly manifests as the topological charge spectrum of the E8 phi-cascade lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23683715
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Mersenne-Prime Braid Topology Generates Perfect-Number Quantum Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
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Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Mersenne-Prime Braid Topology Generates Perfect-Number Quantum Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when phase-locked at 132φⁿ Hz, decompose into 8 concentric 30-vertex Petrie polygons whose anyonic braid group representations admit closed, non-intersecting trajectories ONLY at winding numbers matching the binary perfect number sequence (6, 28, 496, 8128…). Each such trajectory encodes a logical qubit with coherence time scaling as φᵖ × 132 Hz where p is the Mersenne exponent, yielding a geometrically intrinsic quantum error correction code where the binary structure of even perfect numbers (p ones, p−1 zeros) directly manifests as the topological charge spectrum of the E8 phi-cascade lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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