  We show that representations of the loop braid group arise from Aharonov-Bohm
like effects in finite 2-group (3+1)-dimensional topological higher gauge
theory. For this we introduce a minimal categorification of biracks, which we
call W-bikoids (welded bikoids). Our main example of W-bikoids arises from
finite 2-groups, realised as crossed modules of groups. Given a W-bikoid, and
hence a groupoid of symmetries, we construct a family of unitary
representations of the loop braid group derived from representations of the
groupoid algebra. We thus give a candidate for higher Bais' flux metamorphosis,
and hence also a version of a `higher quantum group'.
