The golden mean as clock cycle of brain waves
Abstract
The principle of information coding by the brain seems to be based on the golden mean. For decades psychologists have claimed memory span to be the missing link between psychometric intelligence and cognition. By applying BoseEinsteinstatistics to learning experiments, PascualLeone obtained a fit between predicted and tested span. Multiplying span by mental speed (bits processed per unit time) and using the entropy formula for bosons, we obtain the same result. If we understand span as the quantum number n of a harmonic oscillator, we obtain this result from the EEG. The metric of brain waves can always be understood as a superposition of n harmonics times 2 Φ, where half of the fundamental is the golden mean Φ (=1.618) as the point of resonance. Such wave packets scaled in powers of the golden mean have to be understood as numbers with directions, where bifurcations occur at the edge of chaos, i.e. 2 Φ=3+ φ ^{3}. Similarities with El Naschie's theory for high energy particle's physics are also discussed.
 Publication:

Chaos Solitons and Fractals
 Pub Date:
 November 2003
 DOI:
 10.1016/S09600779(03)000262
 Bibcode:
 2003CSF....18..643W