Columnar firings of neocortex, modeled by a statistical mechanics of neocortical interactions (SMNI), are investigated for conditions of oscillatory processing at frequencies consistent with observed electroencephalography (EEG). A strong inference is drawn that physiological states of columnar activity receptive to selective attention support oscillatory processing in alpha, beta and theta ranges. Direct calculations of the Euler-Lagrange (EL) equations which are derived from functional variation of the SMNI probability distribution, giving most likely states of the system, are performed for three prototypical Cases, predominately excitatory columnar firings, predominately inhibitory columnar firings, and in-between balanced columnar firings, with and without a Centering mechanism (based on observed changes in stochastic background of presynaptic interactions) which pulls more stable states into the physical firings ranges. Only states with the Centering mechanism exhibit robust support for these oscillatory states. These calculations are repeated for the visual neocortex, which has twice as many neurons/minicolumn as other neocortical regions. Including the Centering mechanism with other proposed mechanisms for columnar-glial magnetic interactions and for glial-presynaptic background interactions, a path for future investigations is outlined to test for quantum-classical interactions that directly support cerebral memory and computation.
EEG; short term memory; nonlinear; statistical