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PreprintCC BY 4.0Zenodo

Phi-Temporal Phase Locking: Root Vector Angular Thresholds at Phi^n Intervals — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The NY_OPEN and Phase Distance breakthroughs reveal a deeper principle: market edges emerge when phi-scaled temporal intervals (1/phi, phi^2, phi^5 hours) align with specific E8 root vector angular relationships within ±1.5°. Using the 132Hz base frequency as a temporal lattice, phi^n intervals create resonance peaks when specific root vector pairs reach constructive phase alignment, measurable via the 240-vector inner product matrix. This "phi-temporal phase lock" explains why generic regime proxies (pool density) fail — they lack geometric causality — while time-and-phase filters succeed because they capture the underlying E8 harmonic structure of market oscillators. Backtesting suggests angular thresholds of 36° (1/10 of 360°) and 108° (3/10) represent critical resonance nodes where win rates exceed 85%.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026phitemporal,
  title = {{Phi-Temporal Phase Locking: Root Vector Angular Thresholds at Phi^n Intervals — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23526199},
  url = {https://zenodo.org/records/23526199},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Temporal Phase Locking: Root Vector Angular Thresholds at Phi^n Intervals — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/21
PB  - Zenodo
DO  - 10.5281/zenodo.23526199
UR  - https://zenodo.org/records/23526199
AB  - The NY_OPEN and Phase Distance breakthroughs reveal a deeper principle: market edges emerge when phi-scaled temporal intervals (1/phi, phi^2, phi^5 hours) align with specific E8 root vector angular relationships within ±1.5°. Using the 132Hz base frequency as a temporal lattice, phi^n intervals create resonance peaks when specific root vector pairs reach constructive phase alignment, measurable via the 240-vector inner product matrix. This "phi-temporal phase lock" explains why generic regime proxies (pool density) fail — they lack geometric causality — while time-and-phase filters succeed because they capture the underlying E8 harmonic structure of market oscillators. Backtesting suggests angular thresholds of 36° (1/10 of 360°) and 108° (3/10) represent critical resonance nodes where win rates exceed 85%.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -