On the propagation across the big bounce in an open quantum FLRW cosmology

Abstract

The propagation of a scalar field in an open FLRW bounce-type quantum spacetime is examined, which arises within the framework of the IKKT matrix theory. In the first part of the paper, we employ general-relativity tools to study null and timelike geodesics at the classical level. This analysis reveals that massless and massive non-interacting particles can travel across the big bounce. We then exploit quantum-field-theory techniques to evaluate the scalar field propagator. In the late-time regime, we find that it resembles the standard Feynman propagator of flat Minkowski space, whereas for early times it governs the propagation across the big bounce and gives rise to a well-defined correlation between two points on opposite sheets of the spacetime.

v2: version accepted for publication in EPJ C; conclusions have been slightly expanded and new references have been added

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• Quantum bounce and cosmic recall
• Consistent Loop Quantum Cosmology
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Cited by in corpus (7)

• Progress in the numerical studies of the type IIB matrix model
• Fermions on curved backgrounds of matrix models
• Cosmic time evolution and propagator from a Yang-Mills matrix model
• One-loop effective action of the IKKT model for cosmological backgrounds
• Physical Features of Geometrically Deformed Anisotropic Charged Three-dimensional BTZ Black Holes
• Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
• Spatially flat cosmological quantum spacetimes