Big Bang — A Structural Interpretation (Extended)

This paper presents a structural interpretation of the Big Bang as a boundary of admissibility rather than a recoverable origin. Within the Paton System framework, the Big Bang is not treated as an ontological beginning but as a limit of admissible reconstruction under increasing constraint density. The paper formalises the relationship between admissibility formation and continuation using the Paton System core structure. Recursive compression explains how prior states are embedded but rendered non-legible beyond the admissibility boundary. As constraint density increases, reconstruction of earlier states becomes structurally impossible. A bounded admissibility envelope is introduced, within which observable structure exists above Tier 3, while compressed structure below Tier 3 becomes indistinguishable from origin. This produces an inversion of complexity across the boundary. The framework integrates existence formation and persistence into a unified interpretation of cosmological structure without introducing new physical laws.