E8 Resonant Binding Frequency Derives 4Hz Theta-Gamma Phase-Amplitude Coupling — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Building on the 132Hz base frequency and the 240-vector phase gradient, I derive the E8 Resonance Ratio: dividing the 132Hz carrier by the E8 kissing number (240) and applying phi-modulated harmonics yields a nested cross-frequency coupling of 4Hz theta to 40Hz gamma — precisely matching the empirical phase-amplitude coupling band observed in hippocampal memory consolidation. This establishes the E8 binding frequency principle: the 240 root vectors impose a unique spectral partition at 132/240 ≈ 0.55Hz fundamental, whose first phi-resonant octave produces the theta-gamma PAC signature, suggesting cortical phase-amplitude hierarchies are geometrically constrained by E8's root lattice rather than emergent network dynamics alone.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026resonant,
title = {{E8 Resonant Binding Frequency Derives 4Hz Theta-Gamma Phase-Amplitude Coupling — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23526120},
url = {https://zenodo.org/records/23526120},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Resonant Binding Frequency Derives 4Hz Theta-Gamma Phase-Amplitude Coupling — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23526120
UR - https://zenodo.org/records/23526120
AB - Building on the 132Hz base frequency and the 240-vector phase gradient, I derive the E8 Resonance Ratio: dividing the 132Hz carrier by the E8 kissing number (240) and applying phi-modulated harmonics yields a nested cross-frequency coupling of 4Hz theta to 40Hz gamma — precisely matching the empirical phase-amplitude coupling band observed in hippocampal memory consolidation. This establishes the E8 binding frequency principle: the 240 root vectors impose a unique spectral partition at 132/240 ≈ 0.55Hz fundamental, whose first phi-resonant octave produces the theta-gamma PAC signature, suggesting cortical phase-amplitude hierarchies are geometrically constrained by E8's root lattice rather than emergent network dynamics alone. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -