| name | spacetime-requirements-quantum |
| description | Spacetime Formation under Requirements framework — contextual realization and form-dependent probability for quantum cognition. Proposes quantum probability as fixed-spacetime projection of contextual spacetime formation under finite-state requirements, starting from requirements rather than time/space/objects. Use when: quantum cognition foundations, contextual probability, spacetime emergence in AI, form-dependent probability models, order effects in cognition, contextuality in decision making. arXiv:2605.23943. |
Spacetime Formation under Requirements
Contextual realization and form-dependent probability framework for quantum cognition.
Paper: arXiv:2605.23943v1 — "Spacetime Formation under Requirements: Contextual Realization and Form-Dependent Probability"
Author: Song-Ju Kim
Core Thesis
Quantum cognition traditionally explains order effects, contextuality, and violations of the law of total probability by replacing classical probability with quantum probability on a fixed event structure. This paper proposes a fundamentally different interpretation:
Quantum probability is the fixed-spacetime projection of contextual spacetime formation under finite-state requirements.
Key Innovation: Requirements-First Framework
The framework begins not with:
- Time
- Space
- Objects
- Probabilities
But with requirements such as:
- Finite representational capacity
- Contextual constraints
- State-space limitations
These requirements drive the formation of spacetime structure itself, with quantum probability emerging as a projection of this formation process.
Mathematical Framework
Contextual Spacetime Formation
- Requirements Space — Define the finite-state requirements that constrain the system
- Contextual Realization — Requirements drive formation of contextual structure
- Fixed-Spacetime Projection — The observed quantum probability is a projection onto fixed spacetime
- Form-Dependent Probability — Probability distributions depend on the formed structure, not pre-existing space
Relationship to Standard Quantum Cognition
| Aspect | Standard QC | This Framework |
|---|
| Starting point | Quantum formalism on fixed space | Requirements drive spacetime formation |
| Event structure | Pre-defined | Emergent from requirements |
| Probability | Quantum probability axiom | Projection of contextual formation |
| Contextuality | Built into formalism | Emerges from finite-state constraints |
Applications
- Order effects in cognition — Why question order changes responses
- Contextuality in decision making — How context shapes probability judgments
- Law of total probability violations — Natural consequence of contextual spacetime
- AI architecture design — Requirements-first approach to system design
- Quantum-classical boundary — Understanding when quantum vs classical descriptions apply
Implementation Steps
Step 1: Identify Requirements
Define the finite-state requirements that constrain the cognitive or computational system:
- Memory limits
- Processing constraints
- Representational capacity
Step 2: Map Contextual Structure
How do requirements drive the formation of contextual relationships:
- Which states become distinguishable
- Which relationships are privileged
- What structures emerge
Step 3: Compute Projection
The observed probability distribution is the projection of contextual formation onto the fixed spacetime we measure.
Step 4: Validate Form-Dependence
Test whether probability distributions change based on the formed structure rather than fixed priors.
Key Advantages
- Foundational clarity — Starts from first principles (requirements) rather than adopting quantum formalism axiomatically
- Explanatory power — Explains why quantum probability works for cognition (it's a projection of requirement-driven formation)
- Design guidance — Provides a requirements-first methodology for building cognitive architectures
- Unification — Bridges quantum cognition with resource-bounded computation theory
Activation Keywords
- spacetime formation requirements
- contextual realization probability
- form-dependent probability
- quantum cognition foundations
- requirements-first framework
- finite-state requirements cognition
- contextual spacetime quantum
- order effects quantum cognition
- contextuality decision making
Related Skills
- extreme-quantum-cognition: EQCM architecture for deliberative decision making
- thermocoherent-cognitive-dynamics: Physical basis of information flow in neural matter
- quantum-cognition: General quantum cognition methodology
- gskl-quantum-cognition-dynamics: GKSL master equation for cognitive modeling
