We prove that a Bessel wave packet system generated by a nonzero L2 function,
with an arbitrary discrete parameter set in the affine Weyl-Heisenberg group,
has a parameter set missing a left translate of every compact set. Hence all
lower densities in the Czaja-Kutyniok-Speegle convention vanish and the lower
Beurling dimension is zero. The proof uses explicit left Folner averaging of
translated counting measures and the known divergent continuous coefficient
integral. No product structure or extra generator regularity is assumed. The
necessary nonzero-generator qualification and the degenerate zero exception
are explicit. This is an unrefereed preprint with an originating-researcher
self-audit, not independent review, formal verification or a certified
priority claim. The manuscript was developed with OpenAI Codex assistance.
