  We present an inflationary model that is geodesically complete and does not
suffer from the transplanckian problem. In most inflationary models, massless
(conformal) scalar field fluctuations in a deSitter background gives rise to a
scale-invariant spectrum. In this work, we realize scale invariant
perturbations from thermal fluctuations in (conformal) radiation during a
radiation dominated contraction era prior to inflation. As the modes exit the
Hubble radius during the contraction phase, scale invariant fluctuations are
indeed generated. After many cycles, we enter into a power-law inflationary
phase, that stretches the modes produced in the previous contraction phase to
scales that we observe today.
