Phi-Anchor Principle: Stable Phase Gates at φ³° Root Projections — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 root vectors of E8 project onto lower-dimensional angular lattices with φ³° (≈ 142.4°) intervals marking geometric phase boundaries where interference patterns stabilize. The "mid-band collapse" observed in the 2–10° range occurs because these angles fall between dominant E8 root projections, creating unstable standing waves. By anchoring trading or signal windows to the nearest φ-scaled projection (n×142.4° modulo 360°), phase coherence increases by preferentially aligning with the 240-vector manifold's natural eigenstates. This explains why extreme angles (>10°) outperform the mid-band: they land closer to E8's golden-ratio-structured angular eigenbasis than interpolating positions.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phianchor,
title = {{Phi-Anchor Principle: Stable Phase Gates at φ³° Root Projections — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490786},
url = {https://zenodo.org/records/23490786},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Anchor Principle: Stable Phase Gates at φ³° Root Projections — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490786
UR - https://zenodo.org/records/23490786
AB - The 240 root vectors of E8 project onto lower-dimensional angular lattices with φ³° (≈ 142.4°) intervals marking geometric phase boundaries where interference patterns stabilize. The "mid-band collapse" observed in the 2–10° range occurs because these angles fall between dominant E8 root projections, creating unstable standing waves. By anchoring trading or signal windows to the nearest φ-scaled projection (n×142.4° modulo 360°), phase coherence increases by preferentially aligning with the 240-vector manifold's natural eigenstates. This explains why extreme angles (>10°) outperform the mid-band: they land closer to E8's golden-ratio-structured angular eigenbasis than interpolating positions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -