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.

arXiv commentv2: version accepted for publication in EPJ C; conclusions have been slightly expanded and new references have been added

References in corpus (34)

• A Large-N Reduced Model as Superstring
• Towards a Nonsingular Bouncing Cosmology
• A Critical Review of Classical Bouncing Cosmologies
• G-Bounce
• Emergent Geometry and Gravity from Matrix Models: an Introduction
• The R_h = ct Universe
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• The Matter Bounce Scenario in Loop Quantum Cosmology
• Classically stable non-singular cosmological bounces
• CPT-Symmetric Universe
• Fully stable cosmological solutions with a non-singular classical bounce
• Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
• Quantum bounce and cosmic recall
• Consistent Loop Quantum Cosmology
• Extended matter bounce scenario in ghost free $f(R,\mathcal{G})$ gravity compatible with GW170817
• Quantum nature of cosmological bounces
• Expanding universe as a classical solution in the Lorentzian matrix model for nonperturbative superstring theory
• From a Bounce to the Dark Energy Era with $F(R)$ Gravity
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• Nonsingular bouncing cosmology in general relativity: physical analysis of the spacetime defect
• Quantized open FRW cosmology from Yang-Mills matrix models
• Emergent Cosmology from Matrix Theory
• A Model for the Big Bounce
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Gravity as a Quantum Effect on Quantum Space-Time
• Matrix Model Approach to Cosmology
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Regularized big bang singularity
• Gauss-Bonnet modified gravity models with bouncing behavior
• Nonsingular bouncing cosmology from general relativity
• Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
• Matrix Model Cosmology in Two Space-time Dimensions
• Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models

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