Quantum cosmology from loop quantum gravity and spinfoam models

Samenvatting

One of the main challenges of modern physics is to quantize general relativity. Unlike the other interactions that take place in a fixed spacetime, in the case of gravity the spacetime itself is the dynamical entity to be quantized. This suggests that to quantize gravity a non-perturbative and background-independent approach is needed. My research interests focus on non-perturbative quantizations of gravity, and in particular loop quantum gravity (LQG) and spinfoam models. I am primarily interested in the derivation of a theory for quantum cosmology. Several reasons motivate my research. First of all, without a quantum theory for cosmology we lack a complete description of the dynamics of the early universe, as our current paradigm, the inflationary scenario, suffers from an initial big bang singularity that we expect to be solved by quantum gravity effects. On the other hand, cosmology might be the only accessible way to test quantum gravity. The adaptation of LQG to cosmological scenarios is known as loop quantum cosmology (LQC). LQC has been mainly developed for the quantization of homogeneous models, yielding an important result: The quantum geometry effects solve the
cosmological singularities by means of a quantum bounce mechanism. LQC is one of the fields where I will focus my research. I want to look deeper into the quantization of
anisotropic models, for which the quantum dynamics remains unsolved. Furthermore, I want to analyze the quantization of inhomogeneous models in LQC, in particular considering cosmological fluctuations, with the aim of pushing further the development of a quantum theory for inflationary cosmology and extract predictions from it, such as modifications on the power spectrum of cosmological fluctuations. LQC has been derived from canonical LQG. I am also interested in developing
quantum cosmology from the spinfoam approach, the covariant version of LQG.

Output

Wetenschappelijk artikel

  • M Martin-Benito(2014): Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model Phys. Rev. D pp. 24028 - 24041
  • M Martin-Benito(2014): Echo of the quantum bounce Phys. Rev. D pp. 43510 - 43516
  • M. Martín-Benito(2015): Violation of the strong Huygen’s principle and timelike signals from the early Universe Physical Review Letters pp. 14103 - 14107
  • M. Martín-Benito(2015): Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes Physical Review D pp. 10501 - 10501
  • M Martin-Benito(2015): The quantum echo of the early universe Canadian Journal of Physics pp. 968 - 970
  • M. Martín-Benito(2015): Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model Physical Review D pp. 24007 - 24021
  • M. Martín-Benito(2015): Gauge-Invariant Perturbations in Hybrid Quantum Cosmology Journal of Cosmology and Astroparticle Physics pp. 045 - 079
  • M. Martín-Benito(2016): Quantum corrections to the Mukhanov-Sasaki equations Physical Review D pp. 10402 - 10404
  • M. Martín-Benito(2016): Dirac fields in flat FLRW cosmology: Uniqueness of the Fock quantization Annals of Physics pp. 76 - 88
  • M. Martín-Benito(2016): Hybrid Models in Loop Quantum Cosmology International Journal of Modern Physics D pp. 16420 - 16420
  • M. Martín-Benito(2016): Unique Fock quantization of a massive fermion field in a cosmological scenario Physical Review D pp. 84053 - 84066
  • M. Martín-Benito(2016): Timelike information broadcasting in cosmology Physical Review D pp. 24055 - 24072
  • M. Martín-Benito(2016): Uniqueness of the Fock quantization of scalar fields in a Bianchi I cosmology with unitary dynamics Physical Review D pp. 10501 - 10502

Kenmerken

Projectnummer

680-47-433

Hoofdaanvrager

Dr. M. Martín Benito

Verbonden aan

Radboud Universiteit Nijmegen, Faculteit der Natuurwetenschappen, Wiskunde en Informatica, Institute for Mathematics, Astrophysics and Particle Physics (IMAPP)

Uitvoerders

Dr. M. Martín Benito

Looptijd

16/01/2014 tot 13/06/2017