  We consider a warped five-dimensional model with an ultraviolet (UV) brane
and, on top of the Standard Model isolated modes, continua of KK modes with
different mass gaps for all particles: gauge bosons, fermions, graviton, radion
and Higgs boson. The model can be considered as a modelization in five
dimensions of gapped unparticles. The five dimensional metric has a
singularity, at a finite (infinite) value of the proper (conformal) coordinate,
which is admissible as it supports finite temperature in the form of a black
hole horizon. An infrared (IR) brane, with particular jumping conditions, is
introduced to trigger correct electroweak breaking. The gravitational metric is
AdS$_5$ near the UV brane, to solve the hierarchy problem with a fundamental
Planck scale, and linear, in conformal coordinates, near the IR, as in the
linear dilaton and five-dimensional clockwork models. The branes, and
singularity, distances are fixed, \`a la Goldberger-Wise, by a bulk scalar
field with brane potentials explicitly breaking the conformal symmetry. The
bosonic continuum of KK modes with the smallest mass gap are those of gauge
bosons, and so they are the most likely produced at the LHC. Mass gaps of the
continuum of KK fermions do depend on their localization in the extra
dimension. We have computed the spectral functions, and arbitrary Green's
functions, and shown how they can modify some Standard Model processes.
