Testing Noncommutativity-Like Model as a Galactic Density Profile
نویسندگان
چکیده
منابع مشابه
Noncommutativity as a Colimit
We give substance to the motto “every partial algebra is the colimit of its total subalgebras” by proving it for partial Boolean algebras (including orthomodular lattices), the new notion of partial C*-algebras (including noncommutative C*-algebras), and variations such as partial complete Boolean algebras and partial AW*-algebras. Both pairs of results are related by taking projections. As cor...
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We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommutativity (NC) properties are the artifact of the underlying symmetry transformations. For the case of the symmetry transformations corresponding to the noncommutative geometry, the mass parameter of the toy model turns out to be nonc...
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The possibility of testing spatial noncommutativity via Rydberg atoms is explored. An atomic di-pole of a cold Rydberg atom is arranged in appropriate electric and magnetic fields, so that the motion of the dipole is constrained to be planar and rotationally symmetric. Spatial noncommutativity leads the canonical angular momentum to possess fractional values. In the limit of vanishing kinetic e...
متن کاملErratum to: Noncommutativity as a Colimit
The main purpose of this erratum is to correct a claim we made in our paper “Noncommutativity as a colimit” (Applied categorical structures, Volume 20, Number 4, August 2012, pp. 393–414) at the bottom of page 411, in between Proposition 9 and Lemma 4. Fortunately, our mistake does not invalidate any of the results in the paper or make them less relevant. Let us first define the categories Csta...
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Abstract Coordinate noncommutativity, rather than being introduced through deformations of operator products, is achieved by coupling an auxiliary system with large energy excitations to the one of interest. Integrating out the auxiliary dynamics, or equivalently taking ground state expectation values, leads to the desired coordinate noncommutativity. The product responsible for this noncommuta...
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ژورنال
عنوان ژورنال: Galaxies
سال: 2021
ISSN: 2075-4434
DOI: 10.3390/galaxies9010017