A Dual Hilbert-space Formalism for Consciousness; Memory Experiments

A mathematical theory proposes that conscious states and physical neuronic states occupy identical abstract Hilbert spaces, with consciousness arising when a conscious state aligns with a neuronic state. Neuronic states change continuously through life experiences, increasing ordered, coherent states while decreasing random ones. Transitions between states are governed by the Gorini-Kossakowski-Sudarshan-Lindblad formalism, which also mediates the effect of consciousness on bodily actions. The model interprets classic findings on long- and short-term recall from Shepard (1958–2011) and Sternberg (1966–2016).

Study at a glance

Abstract

Inspired by works of W. H. Zurek and others, a mathematical, physical theory, entirely within a quantum mechanical formalism, is proposed for cognitive processes in terms of an abstract Hilbert-space for the conscious state that is an exact replica of the Hilbert-space for the neuronic physical state. Thus, any actual state of consciousness arises by its formal alignment (identification) with some-one in the set of the neuronic states, with the latter undergoing perpetual changes in the wake of life-long experiences. It is posited that these changes become expressed by an increase in the number of ordered, coherent neuronic states at the expense of the preordinal random neuronic states. Changes, transitions between states are induced by a Gorini-Kossakowski-Sudarshan-Lindblad formalism, which is also instrumental in the effect of the conscious state on bodily actions. The paradigmatic findings of R.N. Shepard (1958 - 2011) and of S. Sternberg (1966 - 2016) for long- and short-term recalls are interpreted within the model.