What Crosses a Barrier: Information as Massless Transmission Tmass→mass = 0, Tinfo = 1 ⇐⇒ ∆ = 0

The map Smacro = f (Mmicro) suffers aggregation defect when f is averaging. We establishZero-Defect Tunnelling via Zulfia Decomposition Mapping (ZDM) under Perpetual ImpactImplementation System (PIIS).In S-framework, S has two states of same entity: n = 0 mass state Dim = 3D andn = 1 information state No-dimension, with n = 0.5S MI slit Dim = 0D. Conservation isnmass + ninfo = 1. Hence direct n = 0 → 0 crossing through SV0S wall is forbidden.Standard quantum tunnelling denotes forbidden-region transport by transmission coeffi-cient T [1,2]. We split T into Tmass→mass = 0 (forbidden, proved in Theorem 4.1, η̸ ⇒ Pz )and Tinfo ≡ Tz|∆=0 that survives via PIIS filter Ti = 1 ⇐⇒ ∆i = 0. Then Fmacro tunnelsvia n = 0.5S slit as∑︁ TiSmicro,i, zero-defect by construction.