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We construct cubic scalar field theory on $\lambda$-Minkowski space by combining the Batalin-Vilkovisky formalism with harmonic analysis, and produce two inequivalent noncommutative quantum field theories. The braided theory is based on a…

High Energy Physics - Theory · Physics 2026-04-20 Djordje Bogdanović , Marija Dimitrijević Ćirić , Richard J. Szabo

In general relativity, cosmology and quantum field theory, spacetime is assumed to be an orientable manifold endowed with a Lorentz metric that makes it spatially and temporally orientable. The question as to whether the laws of physics…

General Relativity and Quantum Cosmology · Physics 2023-06-08 N. A. Lemos , D. Müller , M. J. Reboucas

Time-dependent soliton solutions are explicitly derived in a five-dimensional theory endowed with one (warped) extra-dimension. Some of the obtained geometries, everywhere well defined and technically regular, smoothly interpolate between…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Giovannini

The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's…

High Energy Physics - Theory · Physics 2009-11-11 Hristu Culetu

We clarify the relation between noncommutative spacetimes and multifractional geometries, two quantum-gravity-related approaches where the fundamental description of spacetime is not given by a classical smooth geometry. Despite their…

High Energy Physics - Theory · Physics 2017-02-06 Gianluca Calcagni , Michele Ronco

This is a brief note on a recently flagged issue \cite{CHK} regarding the precise characterization of quadrupolar truncation of the linearized gravitational waves in de Sitter space-time. An apparent inconsistency was noted while…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Ghanashyam Date

The Wightman functions in the Rindler portion of Minkowski space-time are presented for any value of the temperature and for massless spin fields up to s=1 and the renormalized stress tensor relative to Minkowski vacuum is discussed. A…

High Energy Physics - Theory · Physics 2009-10-28 Valter Moretti , Luciano Vanzo

Bialgebroids (resp. Hopf algebroids) are bialgebras (Hopf algebras) over noncommutative rings. Drinfeld twist techniques are particularly useful in the (deformation) quantization of Lie algebras as well as underlying module algebras…

Mathematical Physics · Physics 2017-01-13 Andrzej Borowiec , Anna Pachol

In this paper, we continue the study of the Killing symmetries of a N-dimensional generalized Minkowski space, i.e. a space endowed with a (in general non-diagonal) metric tensor, whose coefficients do depend on a set of non-metrical…

High Energy Physics - Theory · Physics 2015-06-26 Fabio Cardone , Alessio Marrani , Roberto Mignani

We derive the energy levels for oscillator model defined on the twisted N-enlarged Newton-Hooke space-time, i.e., we find time-dependent eigenvalues and corresponding time-dependent eigenstates. We also demonstrate that for a particular…

High Energy Physics - Theory · Physics 2014-12-19 Marcin Daszkiewicz

We employ a twist deformation of infinitesimal diffeomorphisms to construct a modification of General Relativity on a non-commutative spacetime extending the local kappa-Minkowski geometry. This spacetime arises in Deformed Special…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Daniel Rozental , Ofek Birnholtz

We present de Sitter Teukolsky waves -- linearised quadrupolar gravitational waves in the transverse-traceless gauge in de Sitter spacetime. In the cosmological constant $\Lambda$ going to zero limit, our solutions match to Teukolsky…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Harsh , Sk Jahanur Hoque , Sitender Pratap Kashyap , Amitabh Virmani

In the present paper it is considered space time manifold with four commutative coordinates with Poinc\'are group of motion but different from Poinc\'are Minkowski space time of the modern physics.

General Physics · Physics 2016-04-05 A. N. Leznov

Classification of differential forms on $\kappa$-Minkowski space, particularly, the classification of all bicovariant differential calculi of classical dimension is presented. By imposing super-Jacobi identities we derive all possible…

High Energy Physics - Theory · Physics 2015-07-23 Tajron Juric , Stjepan Meljanac , Danijel Pikutic , Rina Strajn

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum…

High Energy Physics - Theory · Physics 2025-09-29 Shono Shibuya , Sotaro Sugishita

The tangent hyperplanes of the "manifolds" of this paper equipped a so-called Minkowski product. It is neither symmetric nor bilinear. We give a method to handing such an object as a locally hypersurface of a generalized space-time model…

Differential Geometry · Mathematics 2010-06-07 Ákos G. Horváth

We adopt a vierbein formalism to study pseudo-Finsler spaces modeled on a pseudo-Minkowski space. We show that it is possible to obtain closed expressions for most of the geometric objects of the theory, including Berwald's curvature,…

Differential Geometry · Mathematics 2018-11-13 A. García-Parrado Gómez-Lobo , E. Minguzzi

Covariance of a quantum space with respect to a quantum enveloping algebra ties the deformation of the multiplication of the space algebra to the deformation of the coproduct of the enveloping algebra. Since the deformation of the coproduct…

Quantum Algebra · Mathematics 2007-05-23 Christian Blohmann

Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin…

High Energy Physics - Theory · Physics 2016-01-20 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

We present the star-product algebra of the kappa-deformation of Minkowski space and the formulation of Poincare covariant differential calculus. We use these tools to construct a twisted K-cycle over the algebra and a twisted cyclic…

Mathematical Physics · Physics 2018-06-04 Flavio Mercati , Andrzej Sitarz