  The nature of space-time at high energy is an open question and the link
between extra-dimensional theories with the physics of the Standard Model can
not be established in a unique way. The compactification path is not unique and
supersymmetry breaking can be done in different ways. Compactifications based
on hyperbolic orbifolds gather a large number of properties that are useful for
this problem, like a Dirac spectrum chiral zero modes, a mass gap with the
Kaluza-Klein modes, discrete residual symmetries for the stability of dark
matter, and interesting cosmological constructions. This shall be explored here
for bulk scalar fields, with a roadmap provided for fermionic studies and
beyond.
