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The implications of a deformed Heisenberg algebra on the Friedmann-Robertson-Walker cosmological models are investigated. We consider the Snyder non-commutative space in which the translation group is undeformed and the rotational…

广义相对论与量子宇宙学 · 物理学 2009-04-10 Marco Valerio Battisti

Loop quantum cosmology is a tentative approach to model the universe down to the Planck era where quantum gravity settings are needed. The quantization of the universe as a dynamical space-time is inspired by Loop Quantum Gravity ideas. In…

广义相对论与量子宇宙学 · 物理学 2016-08-03 J. Grain

In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann--Robertson--Walker universe decay. This makes them largely irrelevant for late time cosmology, assuming that all modes started out at…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Golam Mortuza Hossain

We propose that whatever quantity controls the Heisenberg uncertainty relations (for a given complementary pair of observables) it should be identified with an effective Planck parameter. With this definition it is not difficult to find…

广义相对论与量子宇宙学 · 物理学 2021-03-17 John D. Barrow , Joao Magueijo

We investigate various cosmological aspects of a 4-Dimensional Gauss-Bonnet Lagrangian, which is integrated into the Einstein Lagrangian with an arbitrary sign, using the Friedman-Lema\^itre-Robertson-Walker (FLRW) metric. We consider a…

广义相对论与量子宇宙学 · 物理学 2024-06-11 H. Khodabakhshi , F. Shojai , H. Lü

The k=0 Friedmann Lemaitre Robertson Walker model with a positive cosmological constant and a massless scalar field is analyzed in detail. If one uses the scalar field as relational time, new features arise already in the Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Tomasz Pawlowski , Abhay Ashtekar

In this work, we investigate the notion of time and unitarity in the vicinity of a bounce in quantum cosmology, that is, a turning point for the scale factor. Because WKB methods drastically fail near a turning point, the scale factor…

广义相对论与量子宇宙学 · 物理学 2014-07-02 Antonin Coutant

We propose a new theoretical approach for a cosmological model, which starts from an exponential of the trace of the energy-momentum tensor-dependence on the gravitational action, to be summed to the Ricci scalar. We derive the referred…

广义相对论与量子宇宙学 · 物理学 2020-04-08 P. H. R. S. Moraes , P. K. Sahoo , S. K. J. Pacif

String theory has no parameter except the string scale, so a dynamically compactified solution to 4 dimensional spacetime should determine both the Planck scale and the cosmological constant $\Lambda$. In the racetrack K\"ahler uplift flux…

高能物理 - 理论 · 物理学 2019-10-25 Stefano Andriolo , Shing Yan Li , S. H. Henry Tye

We illustrate, using a simple model, that in the usual formulation the time-component of the Klein-Gordon current is not generally positive definite even if one restricts allowed solutions to those with positive frequencies. Since in de…

量子物理 · 物理学 2007-05-23 G Horton , C Dewdney

Wheeler's spacetime foams (wormholes) at the Planck length undergo quantum nucleation, oscillation and annihilation. Their collective excitations over foamy spacetime interact with field operators at large distances. We describe such…

综合物理 · 物理学 2025-09-16 She-Sheng Xue

A massless scalar field without self interaction and string coupled to gravity is quantized in the framework of quantum cosmology using the Bohm-de Broglie interpretation. Gaussian superpositions of the quantum solutions of the…

广义相对论与量子宇宙学 · 物理学 2009-09-25 N. Pinto-Neto , R. Colistete

We analyze the canonical quantum dynamics of the isotropic Universe in a metric approach by adopting a self-interacting scalar field as relational time. When the potential term is absent we are able to associate the the expanding and…

广义相对论与量子宇宙学 · 物理学 2023-09-15 Eleonora Giovannetti , Fabio Maione , Giovanni Montani

In a recent paper we studied the cosmology of Nonminimal Derivative Coupling (NDC) between gravity and a scalar field, which is a non-trivial class of Horndeski. We have shown that it presents a variety of solutions for the scale factor,…

广义相对论与量子宇宙学 · 物理学 2024-10-08 Isaac Torres , Felipe de Melo Santos , Anderson Almeida da Piedade

In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the development of a quantum theory of test scalar fields on these…

广义相对论与量子宇宙学 · 物理学 2009-11-06 Abhay Ashtekar , Wojciech Kaminski , Jerzy Lewandowski

As the 2015 results of Plancks mission have recently been made available, it is interesting to check the evolution of the scale factor and of the Hubble parameter in the light of these results. Two models in line with Einsteins field…

综合物理 · 物理学 2017-06-08 Guibert U. Crevecoeur

The cosmological constant problem is principally concerned with trying to understand how the zero-point energy of quantum fields contributes to gravity. Here we take the approach that by addressing a fundamental unresolved issue in quantum…

广义相对论与量子宇宙学 · 物理学 2009-11-30 T. P. Singh

A finite vacuum energy density implies the existence of a UV scale for gravitational modes. This gives a phenomenological scale to the dynamical equations governing the cosmological expansion that must satisfy constraints consistent with…

天体物理学 · 物理学 2007-05-23 James Lindesay

From the principles of quantum cosmologies we can justify the reason for an inverse-square law for the cosmological constant with no conflict with observations. Although this general expression for $\Lambda$ is well known in the literature,…

广义相对论与量子宇宙学 · 物理学 2008-03-19 E. M. C. Abreu , C. M. L. dos Reis

We investigate a cosmological model with a big-brake singularity in the future: while the first time derivative of the scale factor goes to zero, its second time derivative tends to minus infinity. Although we also discuss the classical…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Alexander Kamenshchik , Claus Kiefer , Barbara Sandhoefer