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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

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

Mathematical Physics · Physics 2011-04-14 Harald Grosse , Gandalf Lechner

We report a general analysis of worldlines for theories with deformed relativistic symmetries and momentum dependence of the speed of photons. Our formalization is faithful to Einstein's program, with spacetime points viewed as an…

General Relativity and Quantum Cosmology · Physics 2012-02-20 Giovanni Amelino-Camelia , Marco Matassa , Flavio Mercati , Giacomo Rosati

Investigations of the possibility that some novel ``quantum" properties of spacetime might induce a modification dispersion relation focused at first on scenarios with Planck-scale violations of Lorentz symmetry. More recently several…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia , Jerzy Kowalski-Glikman , Gianluca Mandanici , Andrea Procaccini

The spacetime short-distance structure at the Planck scale is governed by the Planck length, usually interpreted as a three-dimensional Euclidian length. As such, it is not Lorentz invariant and clashes with Einstein's special relativity,…

General Relativity and Quantum Cosmology · Physics 2024-03-21 A. V. Araujo , D. F. López , J. G. Pereira , J. R. Salazar

We use the results of ultra-precise cold-atom-recoil experiments to constrain the form of the energy-momentum dispersion relation, a structure that is expected to be modified in several quantum-gravity approaches. Our strategy of analysis…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia , Claus Laemmerzahl , Flavio Mercati , Guglielmo M. Tino

We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS$_3\times {\cal N}$ with NS-NS flux and a single-trace $T\bar{T}$ deformation of the symmetric orbifold CFT. We present a…

High Energy Physics - Theory · Physics 2023-05-11 Wei Cui , Hongfei Shu , Wei Song , Juntao Wang

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

In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates.…

High Energy Physics - Theory · Physics 2017-08-21 Alessandro Moia

We study quantum electrodynamics on the noncommutative Minkowski space in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to…

High Energy Physics - Theory · Physics 2010-12-23 Jochen Zahn

Diakonov theory of quantum gravity, in which tetrads emerge as the bilinear combinations of the fermionis fields,\cite{Diakonov2011} suggests that in general relativity the metric may have dimension 2, i.e. $[g_{\mu\nu}]=1/[L]^2$. Several…

General Relativity and Quantum Cosmology · Physics 2023-02-15 G. E. Volovik

A two-dimensional Minkowski spacetime diagram is neatly represented on a Euclidean ordinary plane. However the Euclidean lengths of the lines on the diagram do not correspond to the true values of physical quantities in spacetime, except…

General Physics · Physics 2007-06-15 Nilton Penha , Bernhard Rothenstein , Doru Paunescu

In recent years, Planck-scale modifications to particles' dispersion relation have been deeply studied for the possibility to formulate some phenomenology of Planckian effects in astrophysical and cosmological frameworks. There are some…

General Relativity and Quantum Cosmology · Physics 2017-02-24 Iarley P. Lobo , Niccoló Loret , Francisco Nettel

"Doubly-special relativity" (DSR), the idea of a Planck-scale Minkowski limit that is still a relativistic theory, but with both the Planck scale and the speed-of-light scale as nontrivial relativistic invariants, was proposed…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Giovanni Amelino-Camelia

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Hao Xu

We investigate the insensitivity of the predictions of inflationary models with respect to modifications of Planck energy physics. The modification we consider consists in replacing the usual dispersion relation by nonlinear ones. This way…

Astrophysics · Physics 2009-11-06 J. C. Niemeyer , R. Parentani

Doubly special relativity(DSR) introduce a minimal length scale i.e. the Planck length scale, which is independent length scale in addition to the speed of light in the normal special theory of relativity(STR). Doubly special relativity…

General Physics · Physics 2020-01-08 Ravikant Verma , Partha Nandi

There is increasing interest in discrete or "pixelated" spacetime models as a foundation for a satisfactory theory of quantum gravity. If spacetime possesses a cellular structure, there should be observable consequences: for example, the…

High Energy Physics - Theory · Physics 2023-08-29 Paul C. W. Davies , Philip Tee