Wormholes in f(R) gravity with a noncommutative-geometry background
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DOI: 10.1007/s12648-018-1213-5
Abstract: This paper discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via… read more here.
Keywords: paper; gravity noncommutative; geometry background; geometry ... See more keywords
Noncommutative coordinate picture of the quantum phase space
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DOI: 10.1016/j.cjph.2021.03.014
Abstract: We illustrate an isomorphic description of the observable algebra for quantum mechanics in terms of functions on the projective Hilbert space, and its Hilbert space analog, with a noncommutative product with explicit coordinates and discuss… read more here.
Keywords: noncommutative geometry; phase space; geometry; picture ... See more keywords
Noncommutative geometry and the BV formalism: Application to a matrix model
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DOI: 10.1016/j.geomphys.2017.05.009
Abstract: Abstract We analyze a U ( 2 ) -matrix model derived from a finite spectral triple. By applying the BV formalism, we find a general solution to the classical master equation. To describe the BV… read more here.
Keywords: spectral triple; matrix model; geometry; formalism ... See more keywords
The noncommutative geometry of the Landau Hamiltonian: Differential aspects
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DOI: 10.1088/1751-8121/ac3da4
Abstract: In this work we study the differential aspects of the noncommutative geometry for the magnetic C*-algebra which is a 2-cocycle deformation of the group C*-algebra of R2. This algebra is intimately related to the study… read more here.
Keywords: geometry landau; aspects noncommutative; geometry; noncommutative geometry ... See more keywords
From noncommutative geometry to random matrix theory
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DOI: 10.1088/1751-8121/ac8fc5
Abstract: We review recent progress in the analytic study of random matrix models suggested by noncommutative geometry. One considers fuzzy spectral triples where the space of possible Dirac operators is assigned a probability distribution. These ensembles… read more here.
Keywords: geometry random; random matrix; noncommutative geometry; geometry ... See more keywords
Noncommutative geometry of Zitterbewegung
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DOI: 10.1103/physrevd.95.061701
Abstract: Drawing from the advanced mathematics of noncommutative geometry, we model a ``classical'' Dirac fermion propagating in a curved spacetime. We demonstrate that the inherent causal structure of the model encodes the possibility of Zitterbewegung---the ``trembling… read more here.
Keywords: geometry zitterbewegung; model; geometry; noncommutative geometry ... See more keywords
Origin of fermion generations from extended noncommutative geometry
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DOI: 10.1142/s0217751x18501683
Abstract: We propose a way to understand the three fermion generations by the algebraic structures of noncommutative geometry, which is a promising framework to unify the standard model and general relativity. We make the tensor product… read more here.
Keywords: space; geometry; noncommutative geometry; extension ... See more keywords
Noncommutative geometry inspired rotating black string
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Modern Physics D"
DOI: 10.1142/s0218271818501080
Abstract: Noncommutativity is an idea dating back to that early times of quantum mechanics and the string theory induced noncommutative (NC) geometry provided an effective framework to study the short distance spacetime dynamics. Also, string theory,… read more here.
Keywords: rotating black; black string; geometry; inspired rotating ... See more keywords