  Recent measurements at the LHC suggest that the current Higgs vacuum could be
metastable with a modest barrier (height 10^{10-12}{GeV})^{4}) separating it
from a ground state with negative vacuum density of order the Planck scale. We
note that metastability is problematic for big bang to end one cycle, bounce,
and begin the next. In this paper, motivated by the approximate scaling
symmetry of the standard model of particle physics and the primordial
large-scale structure of the universe, we use our recent formulation of the
Weyl-invariant version of the standard model coupled to gravity to track the
evolution of the Higgs in a regularly bouncing cosmology. We find a band of
solutions in which the Higgs field escapes from the metastable phase during
each big crunch, passes through the bang into an expanding phase, and returns
to the metastable vacuum, cycle after cycle after cycle. We show that, due to
the effect of the Higgs, the infinitely cycling universe is geodesically
complete, in contrast to inflation.
