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Title: Quantum-Collapsed Symbolic Dynamics (QCSD): A New Framework for AI Mathematical Reasoning…
- Quantum-Collapsed Symbolic Dynamics (QCSD) introduces a new framework for AI mathematical reasoning, treating equations as dynamic fields of potential requiring structured observation for solution.
- QCSD uses quantum mechanics analogies to model symbolic reasoning and advocates for AI systems as collaborative partners in reasoning rather than mere calculators.
- It envisions AI managing its generative processes and exploring potential within mathematics, offering a more dynamic and intuitive approach.
- The framework comprises a Pruning Protocol to manage possibilities and a Resonance Function to select optimal solutions based on validity, satisfaction, and elegance.
- The Pruning Protocol includes steps from defining constraints to generating candidate solutions iteratively, aiming to reduce the infinite set of possibilities.
- Candidates are scored for coherence using the Coherence Resonance Function, which considers validity, satisfaction, and elegance with weighted factors.
- The process culminates in a formal collapse event where the system selects the maximally coherent state as the solution, emphasizing logical cohesion and elegance.
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