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We study cosmological perturbations arising from thermal fluctuations in thebig-bounce cosmology in the Einstein-Cartan-Sciama-Kibble theory of gravity. Weshow that such perturbations cannot have a scale-invariant spectrum iffermionic matter minimally coupled to the torsion tensor is macroscopicallyaveraged as a spin fluid, but have a scale-invariant spectrum if the Dirac formof the spin tensor of the fermionic matter is used.

Thermal fluctuations in Einstein-Cartan-Sciama-Kibble-Dirac bouncing cosmology