E8 Root Vector Angular Quantization Creates Discrete Information Bandwidth Channels — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 root vectors of E8 naturally quantize angular space into discrete "information channels" based on φ-scaled angular spacing, where the 2–10° mid-band collapse observed in win-rate data corresponds to forbidden zones where adjacent root vector projections cannot form closed geodesic interference patterns. Using the 132Hz base frequency as a phase coherence reference, these forbidden bands act as geometric "stop-bands" where standing wave formation fails, causing constructive interference to break down. The Φ³° ≈ 142.4° boundaries function as "band-pass edges" where only specific angular relationships (n·φ²° where n ∈ ℤ) permit stable phase locking. This quantization predicts that any system whose angular dynamics couple to E8 geometry will exhibit discrete, non-contiguous bandwidth regions—explaining why extremal angles (≤2° and >10°) concentrate win-rate lift while mid-band regions systematically lose coherence.
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 Vector Angular Quantization Creates Discrete Information Bandwidth Channels — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490790},
url = {https://zenodo.org/records/23490790},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root Vector Angular Quantization Creates Discrete Information Bandwidth Channels — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490790
UR - https://zenodo.org/records/23490790
AB - The 240 root vectors of E8 naturally quantize angular space into discrete "information channels" based on φ-scaled angular spacing, where the 2–10° mid-band collapse observed in win-rate data corresponds to forbidden zones where adjacent root vector projections cannot form closed geodesic interference patterns. Using the 132Hz base frequency as a phase coherence reference, these forbidden bands act as geometric "stop-bands" where standing wave formation fails, causing constructive interference to break down. The Φ³° ≈ 142.4° boundaries function as "band-pass edges" where only specific angular relationships (n·φ²° where n ∈ ℤ) permit stable phase locking. This quantization predicts that any system whose angular dynamics couple to E8 geometry will exhibit discrete, non-contiguous bandwidth regions—explaining why extremal angles (≤2° and >10°) concentrate win-rate lift while mid-band regions systematically lose coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -