Singularity resolution from polymer quantum matter

Abstract

We study the polymeric nature of quantum matter fields using the example of a Friedmann-Lemaitre-Robertson-Walker universe sourced by a minimally coupled massless scalar field. The model is treated in the symmetry reduced regime via deparametrization techniques, with the scale factor playing the role of time. Subsequently, the remaining dynamic degrees of freedom corresponding to the matter are polymer quantized. The analysis of the resulting genuine quantum dynamic shows that the big bang singularity is resolved, although with the form of the resolution differing significantly from that in the models with matter clocks: dynamically, the singularity is made passable rather than avoided. Furthermore, this analysis exposes crucial limitations to the so-called effective dynamic in loop quantum cosmology when applied outside of the most basic isotropic settings.

13 pages and 4 figures

References in corpus (22)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop quantum cosmology of k=1 FRW models
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• A Quantum Gravity Extension of the Inflationary Scenario
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Loop Quantum Cosmology: An Overview
• Polymer Quantum Mechanics and its Continuum Limit
• Gravity quantized
• Anti-deSitter universe dynamics in LQC
• Loop Quantum Gravity: An Inside View
• Is loop quantization in cosmology unique?
• Hybrid quantization of an inflationary universe
• Lattice refining loop quantum cosmology, anisotropic models and stability
• The propagator in polymer quantum field theory
• Unique Fock quantization of scalar cosmological perturbations
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• Background independent quantization and wave propagation
• Background independent quantizations: the scalar field II
• QFT on quantum spacetime: a compatible classical framework

Cited by in corpus (12)

• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• An Overview on the Nature of the Bounce in LQC and PQM
• Loop Quantum Cosmology: A brief review
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Separable Hilbert space for loop quantization
• Trapped surfaces and nature of singularities in Lyra's geometry
• Tunneling in Polymer Quantization and the Quantum Zeno Effect
• Quantum reduced loop gravity: extension to scalar field
• Instanton solutions on the polymer harmonic oscillator
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Polymer quantum mechanics on compact configuration spaces