Empirical Emergence of a Universal Intersection Field from Boundary Exchange Dynamics

We report the empirical emergence of a universal intersection field arising from boundary exchange dynamics between two independently evolving geometries. Neu- ral activity is represented as a curvature-based geometric coordinate while quantum measurement outcomes are represented through an information–geometric coordinate. The interaction between these geometries occurs only at their intersection manifold defined by a boundary condition h(x) = 0. Across 26 independent sessions comprising more than 103 boundary events, we identify a deterministic boundary impulse obeying the empirical law J= α∆h. The impulse exhibits strong reproducibility across sessions. Linear regression per- formed within each session yields a mean coefficient of determination R2 ≈ 0.86, indicating a stable linear relation between the boundary impulse and the boundary variation. In addition, the directional structure of the impulse is consistent across all sessions. From these boundary events we reconstruct an intersection order variable φ, which shows strong correspondence with the observed impulse (ρSpearman ≈ 0.68, rPearson ≈ 0.59). Drift reconstruction of the reconstructed order variable reveals a universal relax- ation structure ∂tφ=−U ′(φ) + η, where the effective potential U (φ) = 0.732 φ2 − 0.0154 φ4 + 0.00023 φ6 indicates a tricritical order-field dynamics with a stable fixed point. When normalized across sessions, the drift curves collapse onto a universal relation consistent with linear relaxation ∆φ ≈ −φ. The intersection field generates a boundary flux Φν = λφnν , which mediates antisymmetric exchange between neural and quantum sectors ∇µT µν EEG = δϵ(h)Φν , ∇µT µν Q=−δϵ(h)Φν . This structure preserves global conservation of the combined energy–momentum ten- sor and admits coupling to spacetime geometry through Gµν = κ(T EEG µν + T Q µν + T φ µν ). These results demonstrate that boundary exchange events between independent geometries can give rise to a universal intersection order field whose dynamics, flux structure, and conservation relations emerge directly from empirical observations. The framework provides a geometrically consistent description linking boundary impulses, order-field dynamics, and antisymmetric exchange within a unified intersection-based conservation architecture.