Doublet Knowledge-System Assembly and SU(2) Symmetry: Principles of Artificial Science I (4)
Abstract
The preceding papers of Principles of Artificial Science I developed a global gauge architecture for Big Knowledge Assembly Dynamics, a U(1)-based mechanism for single-charge knowledge transport, and an SU(3)-based mechanism for non-Abelian internal binding. The present paper develops the next mechanism: externally induced transformation in doublet knowledge systems. The physical scaffold is weak-isospin dynamics, but the proposed theory is not a claim that economic, cognitive, or artificial systems literally instantiate electroweak physics. Rather, SU(2) is used as a mathematically disciplined control architecture for two-state coupling, externally induced transition, order-sensitive intervention, and post-transition memory. Earlier work on economic externality modeled policy, regulation, and other third-party influences as weak-like forces and introduced two isospin structures: achievement versus fear-of-failure, and market behavior versus market aftertaste. Related Integration Science work extended the same architecture to cognitive achievement/fear and reasoning behavior/problem-solving residuals. The present paper upgrades those correspondences into a Big Knowledge Control Dynamics model. A domain externality is lifted by an explicit map from a semantic externality space into the Lie algebra associated with SU(2); the reversible component of transformation acts on a Bloch-type knowledge state, while dissipation, forgetting, noise, and residual feedback are represented…
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