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A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated to a nonzero minimal uncertainty in position measurements, which is encoded in…

We present an extension of the Randall--Sundrum model in which, due to spontaneous Lorentz symmetry breaking, graviton mixes with bulk vector fields and becomes quasilocalized. The masses of KK modes comprising the four-dimensional graviton…

High Energy Physics - Theory · Physics 2009-11-11 D. S. Gorbunov , S. M. Sibiryakov

We introduce the perturbative $\hbar$-power series ($\hbar$ = Planck constant) providing the algebraic solutions of $D=4$ quantum Snyder and Yang models which describe relativistic quantum space-times and Lorentz-covariant quantum phase…

High Energy Physics - Theory · Physics 2023-11-21 Jerzy Lukierski , Anna Pachoł

Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying symmetry. In the absence of a full quantum…

High Energy Physics - Theory · Physics 2015-03-17 Mairi Sakellariadou

The application of nonlinear electrodynamics at high energy scales has led to a variety of interesting phenomena in recent years, particularly within the context of non-singular spacetime geometries. Additionally, it is postulated that…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Athanasios G. Tzikas

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

The effects of phase space deformations in standard scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables to have a deformed Poisson algebra among the…

High Energy Physics - Theory · Physics 2013-08-09 S. Pérez-Payán , M. Sabido , C. Yee

I briefly review some scenarios for the role of the Planck length in quantum gravity. In particular, I examine the differences between the schemes in which quantum gravity is expected to introduce a maximum acceleration and the schemes in…

Astrophysics · Physics 2017-08-23 Giovanni Amelino-Camelia

We study dimensional reductions of noncommutative electrodynamics on flat space which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock…

High Energy Physics - Theory · Physics 2009-11-07 Edwin Langmann , Richard J. Szabo

We take as starting point the planar model arising from the dimensional reduction of the Maxwell Electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the…

High Energy Physics - Theory · Physics 2016-08-16 H. Belich , M. M. Ferreira , J. A. Helayël-Neto , M. T. D. Orlando

We study inflation in Weyl gravity. The original Weyl quadratic gravity, based on Weyl conformal geometry, is a theory invariant under Weyl symmetry of (gauged) local scale transformations. In this theory Planck scale ($M$) emerges as the…

General Relativity and Quantum Cosmology · Physics 2020-01-08 D. M. Ghilencea

We consider five dimensional conformal gravity theory which describes an anisotropic extra dimension. Reducing the theory to four dimensions yields Brans-Dicke theory with a potential and a hidden parameter $z$ which implements the…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-23 Seyen Kouwn , Phillial Oh , Chan-Gyung Park

Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordstr\"{o}m metric.…

General Relativity and Quantum Cosmology · Physics 2020-04-03 I. P. Lobo , V. B. Bezerra , J. P. Morais Graça , Luis C. N. Santos , M. Ronco

We explore the symmetry reduced form of a non-perturbative solution to the constraints of quantum gravity corresponding to quantum de Sitter space. The system has a remarkably precise analogy with the non-relativistic formulation of a…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Andrew Randono

This talk discusses the relation between spacetime-dependent scalars, such as couplings or fields, and the violation of Lorentz symmetry. A specific cosmological supergravity model demonstrates how scalar fields can acquire time-dependent…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Ralf Lehnert

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

The Planck constant ($\hbar$) plays a pivotal role in quantum physics. Historically, it has been proposed as postulate, part of a genius empirical relationship $E=\hbar \omega$ in order to explain the intensity spectrum of the blackbody…

Optics · Physics 2015-05-04 Real Tremblay , Nicolas Doyon , Claudine Ni Allen

Spontaneous Lorentz violation is a viable mechanism to look for Planck scale physics. In this work, we study spontaneous Lorentz violation models, in flat spacetime, where a vector field produces such a violation and matter is modeled by a…

High Energy Physics - Theory · Physics 2016-01-26 Yuri Bonder , Carlos A. Escobar

In the standard approach to defining a Planck scale where gravity is brought into the quantum domain, the Schwarzschild gravitational radius is set equal to the Compton wavelength. However, ignored thereby are the charge and spin, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 F. I. Cooperstock , V. Faraoni

A quantum gravity theory which becomes renormalizable at short distances due to a spontaneous symmetry breaking of Lorentz invariance and diffeomorphism invariance is studied. A breaking of Lorentz invariance with the breaking patterns…

High Energy Physics - Theory · Physics 2010-05-25 J. W. Moffat