A quantum–analogue formalism for modeling supraliminal information processing

Physica D: Nonlinear Phenomena. 2026. Vol. 498. Article 135441.

Lubashevsky I., Lubashevskiy V.

We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment from the first-person perspective. The cloud function is characterized by two key features: (i) its spatial structure inherits properties of the perceived physical object, and (ii) its temporal evolution is governed by regularities reflecting intrinsic properties of large-scale neural activity. The governing equation for the cloud function is based on a neural-field model with polynomial nonlinearities and global phase-shift invariance of neural-pattern oscillations. Its structure may be interpreted as a Schrödinger-type equation with a nonlinear non-Hermitian Hamiltonian supplemented by terms analogous to those of the Lotka–Volterra model. The proposed approach is applied to the change-of-mind phenomenon in decision-making, in which an initial choice may be revised during its execution. Changes of mind are explained as arising from the interplay between fast preconscious sensory processing and slower conscious comparison of alternatives, consistent with neurophysiological evidence for continuous post-decisional evidence accumulation. The necessity of incorporating cloud-function self-interaction is also discussed.

Keywords: перспектива первого лица, нелинейное уравнение Шредингера, first-person perspective, нейронные поля, Supraliminal information processing, Neural filed dynamics, Nonlinear non-Hermitian Schrödinger equation, Changes of mind, предсознательная обработка информации, изменение принятого решения