Null-Well Boundary Condition

The Null-Well Boundary Condition is the pair of conditions that force the pulse field to zero throughout the Null-Well interior while keeping its gradient finite on the toroidal boundary, so that physical expression lives only on the surface. The book uses it to enforce BPT collapse to zero inside the well, which it calls Dirichlet Nulling, while activity continues at the edge. Together with Information Conservation, I◁ = I▷ + I_exp, it makes collapse a redistribution rather than an annihilation: information is expelled into boundary modes and expansion channels while the well holds pure zero. The book calls the Null-Well the stabilizer of recursion, since collapse cycles keep total information and confine emergent fields to the toroidal boundary. The same section then fixes the smallest spatial increment, the Zinf-Limit Spatial Quantum ℓ_z = κ_z × 𝒞→ × ①⥂⧖ = κ_z × ①⊕. The formal statements are Ψ(x,t) = 0 for x ∈ N(t), and ∂_n Ψ finite on ∂N(t) = T²(t), where Ψ is the pulse field amplitude, x the spatial position, N(t) the time-dependent Null-Well interior, ∂_n the normal derivative at the boundary, ∂N(t) the well's boundary and T²(t) the toroidal boundary surface. Dimensions: Ψ [∅], x [𝕃], N(t) [𝕃³], ∂_n [𝕃⁻¹], ∂N(t) and T²(t) [𝕃²], t [𝕋]; the book's check is consistent. It connects to Dirichlet Nulling, Strict Interior Nulling, Null-Well Interior, Information Conservation, Boundary-Only Expression and Toroidal Boundary.