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Noncommutative spacetimes lead to nonlocal quantum field theories (qft's) where spin-statistics theorems cannot be proved. For this reason, and also backed by detailed arguments, it has been suggested that they get corrected on such…

High Energy Physics - Theory · Physics 2010-12-09 A. P. Balachandran , Pramod Padmanabhan

In discussing non-commutative spacetime, the generally studied $\theta$-Poincare model is inconsistent with bound states. In this Letter, we develop the formalism and study the phenomenology of another model $\mathcal{B}_{\chi \hat{n}}$ by…

High Energy Physics - Phenomenology · Physics 2022-12-14 Junlin Wu , Horan Tsui , Bowen Tong , Shin-Ted Lin , Shu-Kui Liu , Muhammed Deniz , Henry T. Wong , Qian Yue

Noncommutativity of the spacetime coordinates has been explored in several contexts, mostly associated to phenomena at the Planck length scale. However, approaching this question through deformation theory and the principle of stability of…

High Energy Physics - Theory · Physics 2019-06-19 R. Vilela Mendes

We review the main recent progresses in non-commutative space-time phenomenology in underground experiments. A popular model of non-commutative space-time is $\theta$-Poincar\'e model, based on the Groenewold-Moyal plane algebra. This model…

High Energy Physics - Phenomenology · Physics 2019-01-03 Andrea Addazi , Rita Bernabei

We constrain the energy scale of noncommutativity of spacetime using CMB data from PLANCK. We find that PLANCK data puts the lower bound on the noncommutativity energy scale to about 20 TeV, which is about a factor of two larger than a…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-08 Joby P. K. , Pravabati Chingangbam , Subinoy Das

Motivated by the recent interest in underground experiments phenomenology, we review the main aspects of one specific non-commutative space-time model, based on the Groenewold-Moyal plane algebra, the $\theta$-Poincar\'e space-time. In the…

High Energy Physics - Phenomenology · Physics 2018-11-16 A. Addazi , A. Marciano

We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is described by a Poisson bracket. For linear Poisson brackets, the…

High Energy Physics - Theory · Physics 2024-05-24 Vladislav Kupriyanov , Maxim Kurkov , Alexey Sharapov

In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincar\'e invariance. We present the latest development in the field, in particular the notion of…

High Energy Physics - Theory · Physics 2010-06-22 Aiyalam P. Balachandran , Alberto Ibort , Giuseppe Marmo , Mario Martone

We describe the twisted space-time symmetries which imply the quantum Poincar\'{e} covariance of noncommutative Minkowski spaces, with constant, Lie algebraic and quadratic commutators. Further we present the relativistic and…

High Energy Physics - Theory · Physics 2007-05-23 J. Lukierski , M. Woronowicz

Non-commutativity of spacetime at the Planck scale may deform the usual dispersion relations. And these deformed dispersion relations could lead to the accelerating phase without a scalar field. In this paper, we have calculated the…

High Energy Physics - Theory · Physics 2008-11-26 Seoktae Koh

A deformed Bianchi type I metric in noncommutative gauge gravity is obtained. The gauge potential (tetrad fields) and scalar curvature are determined up to the second order in the noncommutativity parameters. The noncommutativity correction…

High Energy Physics - Theory · Physics 2010-12-27 S. Zaim , Z. Aouachria

A fundamental spacetime scale in the universe leads to noncommutative spacetime and thence to a modified energy - momentum dispersion relation or equivalently to a modification of Lorentz symmetry as shown by the author and others. This…

General Physics · Physics 2009-01-27 Burra G. Sidharth

The noncommutativity concept has wide range of applications in physical and mathematical theories. Noncommutativity in the position-time coordinates concerns the microscale structure of space-time. the noncommutativity is an intrinsic…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Behrooz Malekolkalami , Taimur Mohammadi

An inflationary model in the framework of noncommutative space-time may generate a nontrivial running of the scalar spectral index, but usually induces a large tensor-to-scalar ratio simultaneously. With the latest observational data from…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-11 Nan Li , Xin Zhang

We investigate the effects of noncommutativity between the position-position, position-momentum and momentum-momentum of a phase space corresponding to a modified cosmological model. We show that the existence of such noncommutativity…

General Relativity and Quantum Cosmology · Physics 2015-06-23 B. Malekolkalami , K. Atazadeh , B. Vakili

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 show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations. The…

High Energy Physics - Theory · Physics 2008-11-26 Xavier Calmet

An unified structure of noncommutative space-time for both gravity and particle physics is presented. This gives possibilities of testing the idea of noncommutative space-time at the currently available energy scale. There are several…

High Energy Physics - Phenomenology · Physics 2008-02-03 Nguyen Ai Viet

We consider simple extensions of noncommutativity from flat to curved spacetime. One possibility is to have a generalization of the Moyal product with a covariantly constant noncommutative tensor $\theta^{\mu\nu}$. In this case the…

High Energy Physics - Theory · Physics 2009-11-11 E. Harikumar , Victor O. Rivelles

By invoking the concept of twisted Poincar\' e symmetry of the algebra of functions on a Minkowski space-time, we demonstrate that the noncommutative space-time with the commutation relations $[x_\mu,x_\nu]=i\theta_{\mu\nu}$, where…

High Energy Physics - Theory · Physics 2009-07-09 M. Chaichian , P. Kulish , K. Nishijima , A. Tureanu
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