Imported from hiyenwong/ai_collection (collection/skills/quantum/quantum-analogue-cloud-formalism/SKILL.md). Install upstream with npx skills add hiyenwong/ai_collection --skill quantum-analogue-cloud-formalism. Copyright stays with the author.

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