Dynamic Z6 Closure and Massive Radial Transfer Kernels in TS5D: A Self-Contained Conditional Falsifiability Relation for Boundary-Induced Bogoliubov Mixing

This note turns the truncated-photon problem into a concrete falsifiability test for TS5D. Starting from a self-contained radial-transfer formalism, it shows how a dynamical (Z₆) closure of the compact sector leads to a pseudo-Goldstone mass, (²=36), and reshapes the expected sector hierarchy. The main result is a parameter-free consistency curve linking the three relative sector ratios (R₁, R₂, R₃). This means that two measured or bounded ratios fix the model branch, while the third becomes a prediction. The Poisson limit and the massive-orbifold limit are both recovered as controlled cases. Rather than claiming that TS5D replaces standard QFT, the paper asks a sharper question: if TS5D is correct, what compact-sector transfer pattern must appear in boundary-induced Bogoliubov mixing? The result is a conditional but testable prediction: a hard (Z₆) sector does not merely suppress intersectorial effects — it can flatten their relative hierarchy, making the model more exposed to experimental falsification.