Theorem: One common framed primitive holonomy

The collar meridian, the common core meridian, and the outgoing six-face-star meridian have reference-framed affine holonomy exactly $J$. The incoming and outgoing event germs have the same peripheral certificate.

All these meridians are positively primitive; this assertion is not inferred from their matrix products.

Proof. The collar word is already $J$. For the core, with ${\mathcal{A}}_i={\mathcal{A}}_{V_i}$, the chart-based word is

The connecting path and its inverse conjugate this back to $J$.

For $s>0$, the loop $\rho =s$ lies inside the new star because $h-k\le h=2s/3<s$. Its six successive face charts are $U_0^{-},U_0^{+},U_1^{-},U_1^{+},U_2^{-},U_2^{+}$. Five ordinary crossings and one positive seam crossing give the same conjugation identity. A no-seam connecting path again returns $J$ in the reference frame.

Every indicated loop increases the lifted transverse angle by exactly $3\pi /2$, independently proving positive primitivity. At zero the common core loop avoids all collapsed cells and certifies both limiting germs.