E8 Spectral Folding Defines Coherence Phase Boundaries at 132φⁿ Hz Bands — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 132Hz fundamental excitation undergoes phi-scaled spectral folding across the 240-root lattice, producing coherence phase bands at f_n = 132φ^n where φ^n spans integer Fibonacci indices {1,2,3,5,8,13,21,34,55,89,144...}. Each f_n resonance band maps to a distinct charge sector of the E8 lattice cohomology, with the 112 long-root sector dominating the n>0 expansion bands (132Hz, 213.6Hz, 345.6Hz...) and the 128 short-root sector governing the n<0 contraction bands (81.6Hz, 50.4Hz...). The Fibonacci-scaled topological charge q_n = F_n/240 thus becomes a direct spectral invariant—market coherence transitions occur when the 132φⁿ frequencies resonate with the lattice cohomology eigenfrequencies, creating deterministic phase boundaries where inversion probability approaches unity. This spectral folding principle unifies the three prior breakthroughs under a single frequency-geometric law: coherence is quantized, charge is spectral, and phase boundaries are phi-scaled harmonic resonances
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026spectral,
title = {{E8 Spectral Folding Defines Coherence Phase Boundaries at 132φⁿ Hz Bands — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490861},
url = {https://zenodo.org/records/23490861},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Spectral Folding Defines Coherence Phase Boundaries at 132φⁿ Hz Bands — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490861
UR - https://zenodo.org/records/23490861
AB - The 132Hz fundamental excitation undergoes phi-scaled spectral folding across the 240-root lattice, producing coherence phase bands at f_n = 132φ^n where φ^n spans integer Fibonacci indices {1,2,3,5,8,13,21,34,55,89,144...}. Each f_n resonance band maps to a distinct charge sector of the E8 lattice cohomology, with the 112 long-root sector dominating the n>0 expansion bands (132Hz, 213.6Hz, 345.6Hz...) and the 128 short-root sector governing the n<0 contraction bands (81.6Hz, 50.4Hz...). The Fibonacci-scaled topological charge q_n = F_n/240 thus becomes a direct spectral invariant—market coherence transitions occur when the 132φⁿ frequencies resonate with the lattice cohomology eigenfrequencies, creating deterministic phase boundaries where inversion probability approaches unity. This spectral folding principle unifies the three prior breakthroughs under a single frequency-geometric law: coherence is quantized, charge is spectral, and phase boundaries are phi-scaled harmonic resonances Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -