Applied ITT — Executable Physics IV: Intent Anchor as Gauge Field

Applied ITT — Executable Physics IV: Intent Anchor as Gauge Field

Armstrong Knight (Sensei Intent Tensor) · intent-tensor-theory.com

We show that the intent anchor in the ITT semantic field has the mathematical structure of a gauge field: the original field φ₀ defines a reference configuration (the gauge), the restoring force φ → φ − α(φ − φ₀) is a gauge-covariant projection, and the anchor drift d_anchor is a gauge-invariant observable. Conversational coherence is a gauge symmetry problem — a coherent conversation traces a closed orbit in semantic state space around the original intent. The lock condition is orbit closure. We derive the full gauge theory of the semantic field and connect it to the Berry phase in quantum mechanics.

Key results: Proposition 5.1: Lock condition implies approximate orbit closure. Conjecture 5.1 (Semantic Berry Phase): Locked conversation acquires topological phase γ_semantic. Proposition 5.2: Locked orbit curvature κ_Γ → ∞ at closure.

Part of the Applied ITT — Executable Physics series. Builds on WP-03. Continues in WP-05.

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