Results 151 to 160 of about 1,110,223 (294)
Abstract In the present work, an extended description of the covariant noncommutative space is presented, which accommodates the Fuzzy Gravity model constructed previously. It is based on the historical lesson that the use of larger algebras containing all generators of the isometry of the continuous one helped in formulating a fuzzy covariant ...
Danai Roumelioti+2 more
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The Noncommutative Geometry of Electrodynamics
AbstractIn the previous chapters we have described the general framework for the description of gauge theories in terms of noncommutative manifolds. The present chapter serves two purposes. First, we describe abelian gauge theories within the framework of noncommutative geometry, which at first sight appears to be a contradictio in terminis. Second, in
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LECTURES ON NONCOMMUTATIVE GEOMETRY [PDF]
112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
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Self Sustained Traversable Wormholes Induced by Gravity’s Rainbow and Noncommutative Geometry
We compare the effects of Noncommutative Geometry and Gravity’s Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations. Fixing the geometry on a well tested model, we find that the final result shows that the
Garattini Remo
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Time-dependent Aharonov–Bohm effect on the noncommutative space
We study the time-dependent Aharonov–Bohm effect on the noncommutative space. Because there is no net Aharonov–Bohm phase shift in the time-dependent case on the commutative space, therefore, a tiny deviation from zero indicates new physics. Based on the
Kai Ma, Jian-Hua Wang, Huan-Xiong Yang
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After briefly reviewing classical and quantum aspects of probability, basic concepts of the noncommutative calculus of probability (called also free calculus of probability) and its possible application to model the fundamental level of physics are ...
Michał Heller
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Type-II two-Higgs-doublet model in noncommutative geometry
In noncommutative geometry (NCG) the spectral action principle predicts the standard model (SM) particle masses by constraining the scalar and Yukawa couplings at some heavy scale, but gives an inconsistent value for the Higgs mass.
Fredy Jimenez+2 more
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The existence of singularities and the origin of space-time
Methods of noncommutative geometry are applied to deal with singular space-times in general relativity. Such space-times are modeled by noncommutative von Neumann algebras of random operators.
Michał Heller
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Dirac Theory in Noncommutative Phase Spaces
Based on the position and momentum of noncommutative relations with a noncanonical map, we study the Dirac equation and analyze its parity and time reversal symmetries in a noncommutative phase space.
Shi-Dong Liang
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Time discretization from noncommutativity
We show that a particular noncommutative geometry, sometimes called angular or ρ-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in cylindrical ...
Fedele Lizzi, Patrizia Vitale
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