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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
