Corollary: Dimensionally explicit lift

On $|\zeta |<Z$, each transverse cell is replaced by its product with the axial interval. The unique event parameter remains zero. The event locus is

The three-to-six assertion concerns the normal transverse link of this line, not the full link of a point in a three-dimensional hypersurface.

A transverse face of dimensionless area $a_f$ has product-cell volume $2Z{\ell }^3{a}_f$ on the closed slab.

Proof. The graph and cellulation are independent of $\zeta$. Their induced metrics are orthogonal products with ${\ell }^2\mathrm{d}{\zeta }^2$. Both assertions follow.