Quantum-to-classical transition of primordial cosmological perturbations in de Broglie–Bohm quantum theory

Pinto-Neto, Nelson; Santos, Grasiele; Struyve, Ward

doi:10.1103/physrevd.85.083506

Cited by 60 publications

(54 citation statements)

References 25 publications

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“…One proposal of this kind is provided by D. Bohm's "pilot wave theory" [60], and, in particular, we note a specific proposal to apply such ideas to the cosmological problem at hand [61,62]. As we have mentioned, there are other proposals invoking something like the dynamical reduction models proposed by Pearle [23] and/or Ghirardi et al [18] and the ideas of R. Penrose about the role of gravitation in modifying quantum mechanics in the merging of the two aspects of nature [17] (see also Ref.…”

Section: Predictions and Discussionmentioning

confidence: 99%

Quantum origin of the primordial fluctuation spectrum and its statistics

2013

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The usual account for the origin of cosmic structure during inflation is not fully satisfactory, as it lacks a physical mechanism capable of generating the inhomogeneity and anisotropy of our Universe, from an exactly homogeneous and isotropic initial state associated with the early inflationary regime. The proposal in [A. Perez, H. Sahlmann, and D. Sudarsky, Classical Quantum Gravity, 23, 2317, (2006)] considers the spontaneous dynamical collapse of the wave function, as a possible answer to that problem. In this work, we review briefly the difficulties facing the standard approach, as well as the answers provided by the above proposal and explore their relevance to the investigations concerning the characterization of the primordial spectrum and other statistical aspects of the cosmic microwave background and large-scale matter distribution. We will see that the new approach leads to novel ways of considering some of the relevant questions, and, in particular, to distinct characterizations of the non-Gaussianities that might have left imprints on the available data.

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Section: Predictions and Discussionmentioning

confidence: 99%

Quantum origin of the primordial fluctuation spectrum and its statistics

2013

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“…Henceforth, we have obtained the scalar power spectra in four different cases Eqs. (38), (40), (47) and (49). On the other hand, introducing the CSL mechanism does not affect the tensor-toscalar ratio r .…”

Section: Rimentioning

confidence: 99%

“…It is not clear how to do such identifications if the system is the early Universe. Other interpretations such as many-worlds, consistent histories and hidden variables formulations, might be adopted with varying degrees of success (see for instance [38][39][40]). …”

Section: Introductionmentioning

confidence: 99%

Quasi-matter bounce and inflation in the light of the CSL model

2016

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The continuous spontaneous localization (CSL) model has been proposed as a possible solution to the quantum measurement problem by modifying the Schrödinger equation. In this work, we apply the CSL model to two cosmological models of the early Universe: the matter bounce scenario and slow roll inflation. In particular, we focus on the generation of the classical primordial inhomogeneities and anisotropies that arise from the dynamical evolution, provided by the CSL mechanism, of the quantum state associated to the quantum fields. In each case, we obtained a prediction for the shape and the parameters characterizing the primordial spectra (scalar and tensor), i.e. the amplitude, the spectral index and the tensor-to-scalar ratio. We found that there exist CSL parameter values, allowed by other noncosmological experiments, for which our predictions for the angular power spectrum of the CMB temperature anisotropy are consistent with the best fit canonical model to the latest data released by the Planck Collaboration.

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“…Recently, the gauge invariant super-Hamiltonian and super-momenta constraints have been introduced in terms of Mukhanov-Sasaki variables. [31][32][33][34] Then, the classical cosmology from the quantum cosmology may give a complete description of density perturbations with quantum effects included for CMB data.…”

Section: Why Massive Scalar Quantum Cosmology?mentioning

confidence: 99%

“…Then a question can be raised whether one may find the Hamiltonian for scalar perturbations of metric and a massive scalar field, which is gauge invariant and leads the semiclassical equation for observational data. In fact, such a Hamiltonian was found [31][32][33][34] …”

Section: Gauge Invariant Quantum Cosmologymentioning

confidence: 99%

Will Quantum Cosmology Resurrect Chaotic Inflation Model?

Kim

2016

Int. J. Mod. Phys. Conf. Ser.

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The single field chaotic inflation model with a monomial power greater than one seems to be ruled out by the recent Planck and WMAP CMB data while Starobinsky model with a higher curvature term seems to be a viable model. Higher curvature terms being originated from quantum fluctuations, we revisit the quantum cosmology of the WheelerDeWitt equation for the chaotic inflation model. The semiclassical cosmology emerges from quantum cosmology with fluctuations of spacetimes and matter when the wave function is peaked around the semiclassical trajectory with quantum corrections a la the de Broglie-Bohm pilot theory.

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Quantum-to-classical transition of primordial cosmological perturbations in de Broglie–Bohm quantum theory

Cited by 60 publications

References 25 publications

Quantum origin of the primordial fluctuation spectrum and its statistics

Quantum origin of the primordial fluctuation spectrum and its statistics

Quasi-matter bounce and inflation in the light of the CSL model

Will Quantum Cosmology Resurrect Chaotic Inflation Model?

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