Potential reconstruction
Zero triangular residual reconstructs the stated edge potential over the eight-address matching field.
Four Dual Forms · F 04
Horizon Silence
Recognition at the boundary of type
Abstract
A horizon is the boundary of a physically viable region. Silence is the zero residual relation at a completed address. The eight-address field is partitioned into seven matchings. Its triangular residual condition reconstructs an edge potential exactly, while the paper distinguishes occurrence, completion, and future difference.
θ(x) = 1 ⇔ x ∈ 𝒱
ℋhor = ∂𝒱
hijk = 0 ⇔ dij = sj − si
Record
Shared verifier
The finite checker carries the K₈ matchings, triangle rank, and potential reconstruction.
Native conditions
The thermodynamic and viability equations remain the declared state relations; they are not converted here into a new biological observation.
Scope
Claim boundary. The exact result is potential reconstruction and matching factorization on A₈ = {∞} ⊔ ℤ₇, together with the declared thermodynamic state equations. Empirical viability envelopes and field measurements retain their own evidence conditions.