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The quantum potential approach makes it possible to construct a complementary picture of quantum mechanical evolution which reminds classical equation of motion. The only difference as compared to equations of motion for the underlying…

General Relativity and Quantum Cosmology · Physics 2016-11-03 J. Kowalski - Glikman

We exhibit a Hopf superalgebra structure of the algebra of field operators of quantum field theory (QFT) with the normal product. Based on this we construct the operator product and the time-ordered product as a twist deformation in the…

High Energy Physics - Theory · Physics 2008-11-26 Christian Brouder , Bertfried Fauser , Alessandra Frabetti , Robert Oeckl

Based on the tensor method, a q-analoque of the spin-orbit coupling is introduced in a q-deformed Schroedinger equation, previously derived for a central potential. Analytic expressions for the matrix elemnets of the representation j=l\pm…

Nuclear Theory · Physics 2008-11-26 M. Micu , Fl. Stancu

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

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , A. H. Chamseddine , D. Klemm , L. Martucci , W. A. Sabra , D. Zanon

Recent polarized Raman scattering experiments indicate that fractional quantum Hall systems host a chiral spin-2 neutral collective mode, the long-wavelength limit of the magnetoroton, which behaves as a condensed-matter graviton. We…

Strongly Correlated Electrons · Physics 2025-09-05 Yi-Hsien Du

This work aims to present the quantum aspects of a non-commutative gauge gravity formulation of a Schwarzschild-like black hole constructed via the Moyal twist $\partial_t \wedge \partial_\theta$. Particle creation is estimated for bosonic…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. A. Araújo Filho , I. P. Lobo , P. H. M. Barros , Amilcar R. Queiroz

We study the excitation of axial quasi-normal modes of deformed non-rotating black holes by test-particles and we compare the associated gravitational wave signal with that expected in general relativity from a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Guancheng Pei , Cosimo Bambi

We study space-time noncommutativity applied to the hydrogen atom and its phenomenological effects. We find that it modifies the potential part of the Hamiltonian in such a way we get the Kratzer potential instead of the Coulomb one and…

High Energy Physics - Phenomenology · Physics 2012-05-15 M. Moumni , A. BenSlama , S. Zaim

By employing an expansion in terms of the inverse multipole number, we derive analytic expressions for the quasinormal modes (QNMs) of scalar, Dirac, and Maxwell perturbations in the Hayward black hole (BH) background. The metric has three…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Zainab Malik

Gravitational wave astronomy is an emerging observational discipline that expands the astrophysical messengers astronomers can use to probe cosmic phenomena. The gravitational waveform from a source encodes the astrophysical properties and…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Steven Pakiela , Brett Bolen , Ben Holder , Monica Rizzo , Shane L. Larson

We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Joan Fontbuté , Sebastiano Bernuzzi , Simone Albanesi , David Radice , Alireza Rashti , William Cook , Boris Daszuta , Alessandro Nagar

We study a class of theories in which space-time is treated classically, while interacting with quantum fields. These circumvent various no-go theorems and the pathologies of semi-classical gravity, by being linear in the density matrix and…

High Energy Physics - Theory · Physics 2022-02-15 Jonathan Oppenheim , Zachary Weller-Davies

This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We explore potential quantum gravity signatures by studying periodic orbits and their GW emissions around a novel regular black hole (BH) featuring a Minkowski core. Using a rational number $q$, periodic orbits are classified, revealing…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Huajie Gong , Sheng Long , Xi-Jing Wang , Zhongwu Xia , Jian-Pin Wu , Qiyuan Pan

A deformed Schwarzschild solution in noncommutative gauge theory of gravitation is obtained. The gauge potentials (tetrad fields) are determined up to the second order in the noncommutativity parameters $\Theta^{\mu\nu}$. A deformed real…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , A. Tureanu , G. Zet

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

With approaching quantum/noncommutative models for the deep microscopic spacetime in mind, and inspired by our recent picture of the (projective) Hilbert space as the model of physical space behind basic quantum mechanics, we reformulate…

Quantum Physics · Physics 2021-01-13 Chuan Sheng Chew , Otto C. W. Kong , Jason Payne

We study the axial gravitational perturbations of slowly-rotating compact objects which are assumed to be supported by anisotropic fluids. We find that the gravitational perturbations decouple from the matter perturbations for axial…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Xing-Hui Feng , Jun Peng