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We apply a recent proposal for defining states and observables in quantum gravity to simple models. First, we consider a Klein-Gordon particle in an ex- ternal potential in Minkowski space and compare our proposal to the theory ob- tained…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. Higuchi , R. M. Wald

We present a detailed analysis of a quantum model for Loop Quantum Cosmology based on strict application of the Thiemann regularization algorithm for the Hamiltonian in Loop Quantum Gravity, extending the results presented previously in our…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Mehdi Assanioussi , Andrea Dapor , Klaus Liegener , Tomasz Pawlowski

We study the stability of $d$-dimensional ($d=3,4,5$) de Sitter and Minkowski spacetimes within the framework of semiclassical gravity sourced by a strongly coupled quantum field with a gravity dual. Our stability results are derived from a…

High Energy Physics - Theory · Physics 2026-03-06 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We investigate the radiative processes involving two entangled Unruh-DeWitt detectors that are moving on circular trajectories in $(2+1)$-dimensional Minkowski spacetime. We assume that the detectors are coupled to a massless, quantum…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Subhajit Barman , Bibhas Ranjan Majhi , L. Sriramkumar

de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss…

High Energy Physics - Theory · Physics 2012-04-04 Felix M. Lev

It is seen that issues of unitarity raised by the evolution of the wave function in curved spacetime can be resolved by describing the evolution of quantum states in Minkowski tangent space. The treatment adheres closely to the orthodox…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Charles Francis

The paper proposes a 4-dimensional generalization of the Hamilton equations of motion to the case of the Minkowski space-time. The approach can be applied to quantum as well as to classical, non-relativistic as well as relativistic…

Mathematical Physics · Physics 2007-05-23 K. Yu. Bliokh

We investigate scalar field theories in de Sitter space by means of nonperturbative renormalization group techniques. We compute the functional flow equation for the effective potential of O(N) theories in the local potential approximation…

High Energy Physics - Theory · Physics 2015-10-14 Maxime Guilleux , Julien Serreau

In this article we investigate the effects of shifting position decoherence, arisen from the tunneling effect in the experimental realization of the quantum walk, on the one-dimensional discreet time quantum walk. We show that in the regime…

Quantum Physics · Physics 2017-06-06 Mostafa Annabestani , Seyed Javad Akhtarshenas , Mohamad Reza Abolhassani

Several recent studies have considered the implications for astrophysics and cosmology of some possible nonclassical properties of spacetime at the Planck scale. The new effects, such as a Planck-scale-modified energy-momentum (dispersion)…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Antonino Marciano , Giovanni Amelino-Camelia , Nicola Rossano Bruno , Giulia Gubitosi , Gianluca Mandanici , Alessandro Melchiorri

Using simple algebraic methods along with an analogy to the BFSS model, we explore the possible (target) spacetime symmetries that may appear in a matrix description of de Sitter gravity. Such symmetry groups could arise in two ways, one…

High Energy Physics - Theory · Physics 2016-09-06 Yi-hong Gao

In this paper I continue the investigation in \cite{1,1b} concerning my proposal on the nature of the cosmological constant. In particular, I study both mathematically and physically the quantum Planckian context and I provide, in order to…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Stefano Viaggiu

We provide further evidence to support the fact that a four-dimensional effective field theory description with de Sitter isometries in IIB string theory, overcoming the no-go and the swampland criteria, can only exist if de Sitter space is…

High Energy Physics - Theory · Physics 2021-11-23 Heliudson Bernardo , Suddhasattwa Brahma , Keshav Dasgupta , Mir-Mehedi Faruk , Radu Tatar

We consider dimensional reductions of M-theory on $\mathbb{T}^{7}/\mathbb{Z}_{2}^{3}$ with the inclusion of arbitrary metric flux and spacetime filling KK monopoles. With these ingredients at hand, we are able to construct a novel family of…

High Energy Physics - Theory · Physics 2019-09-27 Johan Blåbäck , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri

A non-commutative structure for de Sitter spacetime is naturally introduced by replacing ("fuzzyfication") the classical variables of the bulk in terms of the dS analogs of the Pauli-Lubanski operators. The dimensionality of the fuzzy…

High Energy Physics - Theory · Physics 2010-01-06 Jean-Pierre Gazeau , Francesco Toppan

We present a rigorous formulation of the Quantum Big Bounce for the closed isotropic Universe, filled with a self-interacting scalar field, that emerges from the interaction with an ekpyrotic potential. Working in a covariant approach to…

General Relativity and Quantum Cosmology · Physics 2026-03-09 S. Lo Franco , G. Montani

Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)de Sitter noncommutative spacetimes obtained through quantum…

High Energy Physics - Theory · Physics 2017-08-22 A. Ballesteros , I. Gutiérrez-Sagredo , F. J. Herranz , C. Meusburger , P. Naranjo

The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension $d>2$…

High Energy Physics - Theory · Physics 2023-02-22 J. R. Espinosa , J. -F. Fortin

We present the first detailed study of the kinematics of free relativistic particles whose symmetries are described by a quantum deformation of the de Sitter algebra, known as $q$-de Sitter Hopf algebra. The quantum deformation parameter is…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Leonardo Barcaroli , Giulia Gubitosi

We study some physical aspects of quantum field theory in a two stage universe starting from the inflationary de Sitter and transiting into the radiation dominated stage. We look into the time evolution of the primordial vacuum states,…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Juan R. Salazar , Sujoy K. Modak
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