About

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

Name: quantum-analogue-cloud-formalism
Author: hiyenwong

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

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yaml

targets:
  - https://api.opensmartroute.ai/api/v1/registry/hiyenwong-ai-collection-quantum-analogue-cloud-formalism/manifest   # or paste the manifest below

Manifest

An Open Capability Manifest: the router reads it to know what this does, what it costs and when to pick it.

hiyenwong-ai-collection-quantum-analogue-cloud-formalism.ocm.jsonjson

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  "instructions": "# Quantum-Analogue Cloud-Function Formalism\n\n**Source**: \"A Quantum-Analogue Formalism for Modeling Supraliminal Information Processing\" (arXiv:2605.25214)\n**Categories**: q-bio.NC\n\n## Overview\n\nDevelops 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.\n\n## Core Methodology\n\n### 1. Cloud Function Definition\n- Spatial structure inherits properties of perceived physical object\n- Temporal evolution governed by intri",
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Fetch it by URL: GET /api/v1/registry/hiyenwong-ai-collection-quantum-analogue-cloud-formalism/manifest?version=1.0.0

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