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An integral kernel representation for the commutative $\star$-product on curved classical spacetime is introduced. Its convergence conditions and relationship to a Drin'feld differential twist are established. A $\star$-Einstein field…

General Relativity and Quantum Cosmology · Physics 2021-10-05 P. G. N. de Vegvar

This paper explores the theoretical implications of quantum gravity by analyzing compact stellar objects, presenting three distinct models that serve as alternatives to traditional black holes. These models are characterized by their…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Salvatore Samuele Sirletti , Piero Nicolini , Mariafelicia De Laurentis

Solar neutrino problem and atmospheric neutrino anomaly which are both long-standing issues studied intensively by physicists in the past several decades, are reckoned to be able to be solved simultaneously in the framework of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shao-Xia Chen , Zhao-Yu Yang

We study a classical, noncommutative (NC), Friedmann-Robertson-Walker cosmological model. The spatial sections may have positive, negative or zero constant curvatures. The matter content is a generic perfect fluid. The initial…

General Relativity and Quantum Cosmology · Physics 2016-02-12 G. A. Monerat , E. V. Corrêa Silva , C. Neves , G. Oliveira-Neto , L. G. Rezende Rodrigues , M. Silva de Oliveira

The present work investigates the numerical evolution of linearized oscillations of non-rotating, spherically symmetric neutron stars within the framework of general relativity. We derive the appropriate equations using the (3+1)-formalism.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Johannes Ruoff

The diffuse intensity propagating in turbid media is sensitive to the presence of any kind of object embedded in the medium, e.g. obstacles or defects. The long-ranged effects of isolated objects can be described by a stationary diffusion…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. M. Luck , Th. M. Nieuwenhuizen

We have developed a formalism to study non-adiabatic, non-radial oscillations of non-rotating compact stars in the frequency domain, including the effects of thermal diffusion in the framework of general relativistic perturbation theory.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. Gualtieri , J. A. Pons , G. Miniutti

We present a short introductory overview of the non-commutative extensions of several classical physical theories. After a general discussion of the reasons that suggest that the non-commutativity is a major issue that will eventually lead…

Mathematical Physics · Physics 2007-05-23 R. Kerner

In this paper we study the nonlocal effects of noncommutative spacetime on simple physical systems. Our main point is the assumption that the noncommutative effects are consequences of a background field which generates a local spin…

High Energy Physics - Theory · Physics 2009-11-11 L. P. Colatto , A. L. A. Penna , W. C. Santos

In this paper we consider a two component scalar field theory, with noncommutativity in its conjugate momentum space. We quantize such a theory in a compact space with the help of dressing transformations and we reveal a significant effect…

High Energy Physics - Theory · Physics 2017-10-02 Mir Mehedi Faruk , Mishkat Al Alvi , Wasif Ahmed , Md Muktadir Rahman , Arup Barua Apu

This paper investigates the influence of non-commutative geometry on various aspects of neutrino behavior in curved spacetime. Adopting a Schwarzschild-like black hole solution with Lorentzian mass deformation induced by non-commutativity,…

General Relativity and Quantum Cosmology · Physics 2025-04-08 A. A. Araújo Filho , N. Heidari , Yuxuan Shi

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

In this work we extend and apply a previous proposal to study noncommutative cosmology to the FRW cosmological background coupled to a scalar field, this is done in classical and quantum scenarios. In both cases noncommutativity is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Guzmán , M. Sabido , J. Socorro

In high-energy physics, coordinate noncommutativity represents the core idea that space itself can be quantized, as expressed through the frameworks of string theory and noncommutative field theory. Influence of such a noncommutativity on…

Quantum Physics · Physics 2025-04-22 Salim Medjber , Hacene Bekkar , Salah Menouar , Jeong Ryeol Choi

White dwarfs and neutron stars are stellar objects with masses comparable to that of our sun. However, as the endpoint stages of stellar evolution, these objects do not sustain any thermonuclear burning and therefore can no longer support…

Astrophysics · Physics 2007-05-23 Shmuel Balberg , Stuart L. Shapiro

We calculate the corrections due to noncommutativity of space on the Hamiltonian and then partition function of the canonical ensemble. We study some basic features of statistical mechanics and thermodynamics including equipartition and…

Statistical Mechanics · Physics 2023-11-14 S. A. Alavi

We compute Zero Point Energy in a spherically symmetric background with the help of the Wheeler-DeWitt equation. This last one is regarded as a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue.…

General Relativity and Quantum Cosmology · Physics 2012-12-19 Remo Garattini

We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Takeshi Chiba , Fabio Chibana , Masahide Yamaguchi

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter,…

High Energy Physics - Theory · Physics 2011-09-13 Branislav Jurco , Lutz Möller , Stefan Schraml , Peter Schupp , Julius Wess

A one parameter set of noncommutative complex algebras is given. These may be considered deformation quantisation algebras. The commutative limit of these algebras correspond to the algebra of polynomial functions over a manifold or…

Quantum Algebra · Mathematics 2009-11-10 Jonathan Gratus