The spatial metric of brain underlying the temporal metric of EEG and thought

Abstract

Multiplying memory span by mental speed, we obtain the information entropy of short-term memory capacity, which is rate-limiting for cognitive functions and corresponds with EEG power spectral density. From psychometric and EEG data follows a fundamental of about 3.14 Hz. The number of harmonics (n = 1, 2,...,9) is identical with memory span, and the eigenvalues of the EEG impulse response are represented by the zero-crossings up to the convolved fundamental, the P300. The difference T of 4.42 ms between the 8th and the 9th harmonic is the smallest time window of conscious information processing. Shannon's sampling theorem allows the replacement of any band-limited signal by m discrete sequences of T without loss of any information. Brain architecture can be understood in terms of sequences of delaying chains. Acting as a wavefront tracking array, scaled in relation of mT and in such a way also expressing the metric of eigenvalues, widths of orientation columns match with phase reversal after a zero-crossing and lengths of dendritic trees with run-length of travelling harmonics.