Particle production in a bouncing universe

Abstract: In massless scalar field cosmology, imposing the universe's physical volume as fundamentally discrete resolves the big bang singularity via a big bounce. We use quantum field theory on curved background to numerically track the number of particles created in the vacuum of a quantum field that propagates through the cosmological bounce. We find that due to geometry's evolution, particle production in all modes initially rises, sharply peaks at the bounce, and varies slowly afterwards. Further, by comparing with the case of a quantum field propagating on an expanding universe, we discover that the bouncing universe's imprints on quantum matter are distinct: notably, the late time particle production across modes resembles a thermal spectrum. We then use semiclassical gravity and find similar qualitative results. Here, we also determine how particle production affects geometry's evolution. Our study adds to existing literature on gravity-matter interactions in the context of a bouncing universe, contributes to searches of a bouncing universe's signatures, and strengthens the link between gravity and thermodynamics.