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Any effort to localise an event in the vicinity of the Planck length scale, only where the quantum gravitational effects are predicted to be observed, will invariably result in gravitational collapse. One must postulate noncommutative (NC)…

High Energy Physics - Theory · Physics 2023-11-14 Anwesha Chakraborty

Fring and al in their paper entitled "Strings from position-dependent noncommutativity" have introduced a new set of noncommutative space commutation relations in two space dimensions. It had been shown that any fundamental objects…

High Energy Physics - Theory · Physics 2020-12-15 Latévi M. Lawson

We argue that a field theory defined on noncommutative (NC) spacetime should be regarded as a theory of gravity, which we refer to as the emergent gravity. A whole point of the emergent gravity is essentially originated from the basic…

High Energy Physics - Theory · Physics 2009-11-13 Hyun Seok Yang

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Viet Ai Nguyen , Du Tien Pham

We show the existence of a noncommutative spacetime structure in the context of a complete discussion on the underlying spacetime symmetries for the physical system of a free massless relativistic particle. The above spacetime symmetry…

High Energy Physics - Theory · Physics 2009-11-10 R. P. Malik

We study some basic and interesting quantum mechanical systems in dynamical noncommutative spaces in which the space- space commutation relations are position dependent. It is observed that the fundamental objects in the dynamical…

High Energy Physics - Theory · Physics 2015-06-15 S. A. Alavi , S. Abbaspour

We consider gauge theories on noncommutative euclidean space . In particular, we discuss the structure of gauge group following standard mathematical definitions and using the ideas of hep-th/0102182.

High Energy Physics - Theory · Physics 2016-11-23 Albert Schwarz

Absolute space is eliminated from the body of mechanics by gauging translations and rotations in the Lagrangian of a classical system. The procedure implies the addition of compensating terms to the kinetic energy, in such a way that the…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Rafael Ferraro

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 propose a novel solution to the measurement problem based on quantum field theory and Haag's theorem. According to our proposal in elementary interactions where the particles content is changed, the temporal evolution is non unitary.…

Quantum Physics · Physics 2025-11-04 Avi Levy , Meir Hemmo

In a recent paper we have suggested that a formulation of quantum mechanics should exist, which does not require the concept of time, and that the appropriate mathematical language for such a formulation is noncommutative differential…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. P. Singh

In this article, an alternative interpretation of the Seiberg-Witten map in non-commutative field theory is provided. We show that the Seiberg-Witten map can be induced in a geometric way, by a field dependent co-ordinate transformation…

High Energy Physics - Theory · Physics 2007-05-23 Subir Ghosh

The rules of quantum mechanics require a time coordinate for their formulation. However, a notion of time is in general possible only when a classical spacetime geometry exists. Such a geometry is itself produced by classical matter…

Quantum Physics · Physics 2007-05-23 T. P. Singh

Even though its classical equations of motion are then left invariant, when an action is redefined by an additive total derivative or divergence term (in time, in the case of a mechanical system) such a transformation induces nontrivial…

Quantum Physics · Physics 2023-06-19 Jan Govaerts

In this paper we examine an alternative formulation of the gauge principle in which the emphasis is shifted from the symmetry transformations to their generators. We show that the gauge principle can be entirely reformulated in terms of…

High Energy Physics - Theory · Physics 2010-04-30 Petr Jizba , Josep Maria Pons

Using perturbation theory, we explore the universal high momentum behavior of correlation functions of gauge invariant operators in planar noncommutative gauge theories. We find that the correlation functions are strongly enhanced when…

High Energy Physics - Theory · Physics 2009-10-31 Moshe Rozali , Mark Van Raamsdonk

We introduce a covariant non-commutative deformation of 3+1-dimensional conformal field theory. The deformation depends on a short-distance scale \ell_p, and thus breaks scale invariance, but preserves all space-time isometries. The…

High Energy Physics - Theory · Physics 2015-06-18 Jonathan Heckman , Herman Verlinde

Commuting and noncommuting space-time coordinates in a class of deformed special relativity theories are investigated. Their momentum space representation, transformation behaviour, space-time algebra, invariants and the corresponding field…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Clemens Heuson

We study the properties of the energy-momentum tensor in non-commutative gauge theories by coupling them to a weak external gravitational field. In particular, we show that the stress tensor of such a theory coincides exactly with that…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel

We study the effect of noncommutativity of space on the physics of a quantum interferometer located in a rotating disk in a gauge field background. To this end, we develop a path-integral approach which allows defining an effective action…

High Energy Physics - Theory · Physics 2010-11-19 H. R. Christiansen , F. A. Schaposnik
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