Pi Artificial Intelligence — Curvature-Based Adaptive Logic
Exploring how Pattern Field Theory’s Pi particle dynamics can be interpreted as a form of natural intelligence—adaptive curvature logic based on recursive resonance patterns.
Curvature-Based Logic Systems
Pi assemblies can form adaptive feedback loops that process input curvature perturbations. This creates a naturally emergent logic-like system capable of decision-based responses to field stimuli.
Adaptive Resonance Equations
A_{response} = \eta \cdot \sum P_{\pi_i} \cdot f_{input}(C_{stimulus})Where:
- Aresponse: amplitude of adaptive response
- η: adaptation gain constant
- Pπ_i: individual Pi curvature potential
- finput(Cstimulus): function of curvature stimulus
Implications for AI and Natural Computation
- Offers a model of autonomous decision-making without digital computation.
- Supports dynamic memory via Pi “memory circle” resonance structures.
- Sheds light on embodied, field-based intelligence processes in nature.
Related Reading:
Next Steps:
Following Pi-based AI, upcoming articles will explore how curvature intelligence scales to emergent behavior in higher field complexity.