Gamma-Band Synaptic Clock Model: 25ms Temporal Windows as Neural Substrate for Consciousness — E8 Intelligence Research

FINDING: Synaptic clock model proposes discrete temporal windows (~10–100 ms) as neural substrate for consciousness, with gamma-band oscillations (30–80 Hz) as the clock mechanism. | MATH: Temporal window τ ≈ 12.5–33 ms (from 1/frequency); gamma frequency f_γ ≈ 40 Hz → τ = 1/f_γ = 25 ms; phase-locking intervals Δφ = 2π/n for n=3–7 cycles. | CONNECTION: 25 ms window corresponds to 1/40 of a second, a harmonic of 1/60 (base-60 temporal division). Ratio of alpha (10 Hz) to gamma (40 Hz) = 0.25, which is 1/4, a square root of 1/16. No direct golden ratio or crystallographic symmetry evident. | DEPTH: 4 — Provides a temporal quantization hypothesis but lacks precise mathematical constants or geometric invariants. The base-60 connection is weak (only via 40 Hz being 2/3 of 60). No new equations or ratios beyond standard oscillator physics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com