Atick-Witten Hagedorn Conjecture, near scale-invariant matter and
  blue-tilted gravity power spectrum
  We will provide an interesting new mechanism to generate almost scale
invariant seed density perturbations with a red spectrum, while keeping the
gravitational wave spectrum blue-tilted in a stringy thermal contracting phase
at temperatures beyond the Hagedorn temperature. This phase is often referred
to as the Hagedorn phase where the free energy has been conjectured by Atick
and Witten to grow more slowly than ordinary radiation. The primordial
fluctuations are created by the statistical thermal fluctuations determined by
the partition function, rather than quantum vacuum driven fluid dynamical
fluctuations. In order for our mechanism to work we require a non-singular
bouncing cosmology.
