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
Authors
- Andrew Stewart Caldin
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