Reachability Cones as Local Capacity Geometry in Noetic Diffusion Theory

Key Points

• The aim is to establish a local capacity measure using reachability cones within Noetic Diffusion Theory to analyze brain dynamics.
• Introduced a local control-geometric capacity measure.
• Analyzed reachability covariances from locally linear MNPS dynamics.
• Examined brain activity across EEG, iEEG, and fMRI modalities.
• Identified stable signatures related to sleep staging, seizures, and dementia.
• Noted variations in cone size, anisotropy, and effective dimensionality across conditions.
• Presented informative near-null results in other brain contrasts.