The Al-Olofi Seven-Band Hierarchical Brain Model (A7–HBM–ΩΦ) Unveils Sleep Microstate Dynamics Through Oscillatory–Geometric Simulation

This study applies Al‑Olofi Seven‑Band Hierarchical Brain Model) A7–HBM–ΩΦ( neurogeometric framework to simulate sleep microstates and integrate recent empirical findings from twelve independent studies (2025). The model comprises 28 neural attractors distributed across seven oscillatory layers (δ, θ, α, σ, β, γ, Ω), each associated with specific geometric primitives and dynamical properties. Using a system of coupled nonlinear Stuart–Landau oscillators, phase–amplitude coupling (PAC) is evaluated as the primary regulator of microstate transitions.Simulation results reproduce experimentally observed δ–γ, θ–γ, and δ–β coupling patterns and reveal fine-grained microstate structures consistent with recent EEG/MEG findings (Noh et al., 2025; Burlando et al., 2025; Niethard, 2025). Integration with twelve 2025 studies demonstrates that oscillatory dynamics, cortical geometry, and cognitive function are unified under the A7–HBM–ΩΦ framework, suggesting that the cortex operates as a multi-band geometric computer, generating cognition through lawful transformations of oscillatory–geometric states.These insights may inform the development of neurotechnology applications, sleep disorder diagnostics, and targeted cognitive interventions, highlighting the model’s potential translational impact.