quantum-analogue-cloud-formalism

# Quantum-Analogue Cloud-Function Formalism **Source**: "A Quantum-Analogue Formalism for Modeling Supraliminal Information Processing" (arXiv:2605.25214) **Categories**: q-bio.NC ## Overview Develops 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. ## Core Methodology ### 1. Cloud Function Definition - Spatial structure inherits properties of perceived physical object - Temporal evolution governed by intrinsic properties of large-scale neural activity - Combines neural field theory with spatial characteristics of perceived objects ### 2. Governing Equation - Neural-field model with polynomial nonlinearities - Global phase-shift invariance of neural-pattern oscillations - Interpretable as Schrodinger-type equation with nonlinear non-Hermitian Hamiltonian - Includes terms analogous to Lotka-Volterra model ### 3. Change-of-Mind Phenomenon - Initial choice may be revised during execution - Arises from interplay between: - Fast preconscious sensory processing - Slower conscious comparison of alternatives - Consistent with neurophysiological evidence for continuous post-decisional evidence accumulation ### 4. Self-Interaction - Cloud-function self-interaction is necessary - Captures recursive nature of conscious processing ## Key Equations ``` Cloud Function: ψ(x,t) = f(neural_activity, perceived_object) Governing Equation: iℏ∂ψ/∂t = H[ψ]ψ + non-Hermitian terms + Lotka-Volterra terms H: nonlinear Hamiltonian with polynomial nonlinearities ``` ## Applications - **Decision-making models**: Change-of-mind, post-decisional evidence accumulation - **Consciousness research**: Supraliminal vs subliminal processing - **Neural field theory**: Large-scale brain network dynamics - **Cognitive modeling**: Perception-action coupling ## Activation Triggers - Keywords: cloud function, supraliminal, neural field, decision-making, change-of-mind, consciousness - Tasks: modeling conscious perception, decision-making dynamics, neural field simulations - Fields: cognitive neuroscience, consciousness research, mathematical psychology ## Pitfalls - This is a quantum-analogue formalism, not literal quantum effects in the brain - Non-Hermitian terms reflect dissipation, not quantum measurement - Cloud function is a mathematical construct, not a physical field