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We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has three observer-independent scales, the velocity of light $c$, the radius of curvature of the geometry $\alpha$, and the Planck energy…

General Relativity and Quantum Cosmology · Physics 2010-11-29 S. Mignemi

We show that, for the scalar field cosmology with exponential potential, the set of values of the coupling parameter for which the solutions undergo a transient period of acceleration is much larger than the set discussed in the literature.…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Mustapha Azreg-Aïnou

A novel differential calculus with central inner product is introduced for kappa-Minkowski space. The `bad' behaviour of this differential calculus is discussed with reference to symplectic quantisation and A-infinity algebras. Using this…

High Energy Physics - Theory · Physics 2013-11-14 Edwin Beggs , Roa Makki

We address the optimal estimation of quantum parameters, in the framework of local quantum estimation theory, for a massive scalar quantum field in the expanding Robertson-Walker universe exhibiting Lorentz invariance violation (LIV). The…

High Energy Physics - Theory · Physics 2019-06-25 Xiaobao Liu , Zehua Tian , Jieci Wang , Jiliang Jing

A novel, interesting class of scalar-tensor gravity theories is those with a limit on the field motion, where the scalar field either goes to a constant acceleration or stops accelerating and goes to a constant velocity. We combine these…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Eric V. Linder

Maximal accelerations are related to the existence of a minimal time for a given physical system. Such a minimal time can be either an intrinsic time scale of the system or connected to a quantum gravity induced ultraviolet cut off. In this…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Ricardo Gallego Torromé , Piero Nicolini

We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras introduced in [1]. We show that a Clifford algebra can be seen as a direct sum of multiple spinor subspaces that are characterized as being left…

Mathematical Physics · Physics 2012-05-22 Marco Budinich

We propose a cosmological model which exhibits the phenomenon of self-acceleration: the Universe is attracted to the phase of accelerated expansion at late times even in the absence of the cosmological constant. The self-acceleration is…

High Energy Physics - Theory · Physics 2008-04-15 D. S. Gorbunov , S. M. Sibiryakov

Deformed relativistic kinematics, expected to emerge in a flat-spacetime limit of quantum gravity, predicts violation of discrete symmetries at energy scale in the vicinity of the Planck mass. Momentum-dependent deformations of the C, P and…

High Energy Physics - Phenomenology · Physics 2020-11-04 Wojciech Wislicki

The Distance Conjecture holds that any infinite-distance limit in the scalar field moduli space of a consistent theory of quantum gravity must be accompanied by a tower of light particles whose masses scale exponentially with proper field…

High Energy Physics - Theory · Physics 2023-01-18 Muldrow Etheredge , Ben Heidenreich , Sami Kaya , Yue Qiu , Tom Rudelius

In many cases a nonlinear scalar field with potential $V$ can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for homogeneous spacetimes. It is shown that, under the assumption…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alan D. Rendall

We consider the acceleration of charged particles in relativistic shearing flows, with Lorentz factor up to $\Gamma_0 \sim 20$. We present numerical solutions to the particle transport equation and compare these with results from analytical…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Frank M. Rieger , Peter Duffy

We investigate a $(n+1)$-dimensional generalized Randall-Sundrum model with an anisotropic metric which has three different scale factors. One obtain a positive effective cosmological constant $\Omega_{eff}\sim10^{-124}$ (in Planck unit)…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Guang-Zhen Kang , De-Sheng Zhang , Long Du , Dan Shan , Hong-Shi Zong

We encode dynamical symmetries of Born-Infeld theory in a geometry on the tangent bundle of generally curved spacetime manifolds. The resulting covariant formulation of a maximal acceleration extension of special and general relativity is…

High Energy Physics - Theory · Physics 2011-07-19 Frederic P. Schuller

An exponential potential of the form $V\sim \exp(-2c \phi/M_p)$ arising from the hyperbolic or flux compactification of higher-dimensional theories is of interest for getting short periods of accelerated cosmological expansions. Using a…

High Energy Physics - Theory · Physics 2009-11-10 Ishwaree P. Neupane

In this paper we have studied the nature of kinematical and dynamical laws in $\kappa $-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of $\kappa$-Minkowski phase space algebra…

High Energy Physics - Theory · Physics 2008-11-26 Subir Ghosh , Probir Pal

Semigroup algebras admit certain `coherent' deformations which, in the special case of a path algebra, may associate a periodic function to an evolving path; for a particle moving freely on a straight line after an initial impulse, the wave…

Rings and Algebras · Mathematics 2016-12-21 Murray Gerstenhaber

Direct laser acceleration of electrons in ion channels is investigated in a general case when the laser phase velocity is greater than (or equal to) the speed of light. Using the similarity of the equations of motion for ultra-relativistic…

Plasma Physics · Physics 2016-11-23 Vladimir Khudik , Alexey Arefiev , Xi Zhang , Gennady Shvets

We show that the general solution of scalar field cosmology in $d$ dimensions with exponential potentials for flat Robertson-Walker metric can be found in a straightforward way by introducing new variables which completely decouple the…

High Energy Physics - Theory · Physics 2009-11-10 Jorge G. Russo

Relativistic current sheets have been proposed as the sites of dissipation in pulsar winds, jets in active galaxies and other Poynting-flux dominated flows. It is shown that the steady versions of these structures differ from their…

Astrophysics · Physics 2009-11-10 J. G. Kirk