Golden Ratio Architecture of Human Neural Oscillations

Since Hans Berger discovered the alpha rhythm in 1929, EEG frequency bands have been defined by empirical observation rather than theoretical principles. We provide large-scale empirical validation of the golden ratio (φ = 1.618) organization theorized by Pletzer et al. (2010), and identify the absolute fundamental frequency f₀ = 7.6 Hz that anchors the φⁿ lattice, with frequencies following f(n) = 7.6 Hz × φⁿ. This architecture manifests as spectral peak depletion at integer n positions (band boundaries) and enrichment at half-integer positions (band centers). The golden ratio's unique mathematical properties—maximal resistance to mode-locking combined with Fibonacci coupling—may represent an optimal solution for balancing neural segregation and integration. These findings empirically validate a mathematically principled basis for EEG band definitions and extend the framework by identifying the absolute fundamental frequency.