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Noncommutative algebra which is rotationally invariant, time reversal invariant and equivalent to noncommutative algebra of canonical type is considered. Perihelion shift of orbit of a particle in Coulomb potential in the…

Quantum Physics · Physics 2021-04-27 Kh. P. Gnatenko

Based on recent measurements on the charge-to-mass ratios of proton and anti-proton, we study constraints on the parameters of noncommutative phase space. We find that while the limit on the parameter of coordinate noncommutativity is weak,…

High Energy Physics - Phenomenology · Physics 2018-02-20 Kai Ma

Unparticle exchange gives rise to long range forces which deviate from the inverse square law due to non-canonical dimension of unparticles. It is well known that a potential of the form $r^{-n}$ where $n$ is not equal to one gives rise to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Suratna Das , Subhendra Mohanty , Kumar Rao

In this work we study the geodesic motion on a noncommutative space-time. As a result we find a non-commutative geodesic equation and then we derive corrections of the deviation angle per revolution in terms of the non-commutative parameter…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa , R. G. G. Amorim , A. F. Santos

In this note we show that the latest determinations of the residual Mercury's perihelion advance, obtained by accounting for almost all known Newtonian and post-Newtonian orbital effects, yields only very broad constraints on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

We modify the calculation of quarkonium masses using the radial WKB and Pekeris-type approximations for the case of three-dimensional, rotationally invariant non-commutative space. We obtain corrections to the charmonium…

High Energy Physics - Phenomenology · Physics 2022-11-17 Benedek Bukor , Juraj Tekel

We use a nonstationary generalization of the higher-order structure function technique to investigate statistical properties of the magnetic field fluctuations recorded by MESSENGER spacecraft during its first flyby (01/14/2008) through the…

We derive a model-independent upper bound on the scale of Majorana-neutrino mass generation. The upper bound is $4\pi v^2/\sqrt 3 m_\nu$, where $v \simeq 246$ GeV is the weak scale and $m_\nu$ is the Majorana neutrino mass. For neutrino…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. M. Niczyporuk

We derive a model-independent upper bound on the scale of Majorana-neutrino mass generation. The upper bound is $4\pi v^2/\sqrt 3 m_\nu$, where $v \simeq 246$ GeV is the weak scale and $m_\nu$ is the Majorana neutrino mass. For neutrino…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Maltoni , J. M. Niczyporuk , S. Willenbrock

It is well known that a spherically symmetric compact star whose energy density decreases monotonically possesses an upper bound on its mass-to-radius ratio, $2M/R\leq 8/9$. However, field configurations typically will not be compact. Here…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shahar Hod

Motivated by the precision attained by SQUID devices in measuring magnetic fields, we study in this article the thermodynamic behaviour of a fermion gas in two and three dimen\-sional spatial space with noncommutative coordinates and…

High Energy Physics - Theory · Physics 2016-06-14 S. Franchino Viñas , F. Vega

We investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in both a central force potential and Schwarzschild spacetime. We find noncommutative form of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Mustafa Moumni , Achour BenSlama , Slimane Zaim

Cosmological neutrino mass and abundance measurements are reaching unprecedented precision. Testing their stability versus redshift and scale is a crucial issue, as it can serve as a guide for optimizing ongoing and future searches. Here,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-13 Deng Wang , Olga Mena , Eleonora Di Valentino , Stefano Gariazzo

It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gauge-covariantly extending field equations of noncommutative…

High Energy Physics - Theory · Physics 2011-11-01 T. C. Adorno , D. M. Gitman , A. E. Shabad , D. V. Vassilevich

We try to constrain the noncommutativity length scale of the theoretical model given in Ref. [1] using the observational data from ACBAR, CBI and five year WMAP. The noncommutativity parameter is not constrained by WMAP data, however ACBAR…

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type. Influence of noncommutativity on the energy levels of…

Quantum Physics · Physics 2017-09-15 Kh. P. Gnatenko , V. M. Tkachuk

We investigate the impact of prior models on the upper bound of the sum of neutrino masses, $\sum m_{\nu}$. We use data from Large Scale Structure of galaxies, Cosmic Microwave Background, Type Ia SuperNovae, and Big Bang Nucleosynthesis.…

We consider the noncommutative algebra which is rotationally invariant. The hydrogen atom is studied in a rotationally invariant noncommutative space. We find the corrections to the energy levels of the hydrogen atom up to the second order…

Quantum Physics · Physics 2014-11-04 Kh. P. Gnatenko , V. M. Tkachuk

Restricting the states of a charged particle to the lowest Landau level introduces a noncommutativity between Cartesian coordinate operators. This idea is extended to the motion of a charged particle on a sphere in the presence of a…

High Energy Physics - Theory · Physics 2009-11-10 Myron Bander
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