  We observe a new puzzling physical phenomenon in F-theory on the multisection
geometry, wherein a model without a gauge group transitions to another model
with a discrete $\mathbb{Z}_n$ gauge group via Higgsing. This phenomenon may
suggest an unknown aspect of F-theory compactification on multisection geometry
lacking a global section. A possible interpretation of this puzzling physical
phenomenon is proposed in this note. We also propose a possible interpretation
of another unnatural physical phenomenon observed for F-theory on four-section
geometry, wherein a discrete $\mathbb{Z}_2$ gauge group transitions to a
discrete $\mathbb{Z}_4$ gauge group via Higgsing as described in the previous
literature.
