Results 81 to 90 of about 391 (182)
Noncommutative geometry inspired black holes in Rastall gravity
European Physical Journal C: Particles and Fields, 2017 Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density.
Meng-Sen Ma, Ren Zhao
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A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
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Noncommutative Geometry and Stochastic Processes [PDF]
, 2017 The recent analysis on noncommutative geometry, showing quantization of the volume for the Riemannian manifold entering the geometry, can support a view of quantum mechanics as arising by a stochastic process on it. A class of stochastic processes can be devised, arising as fractional powers of an ordinary Wiener process, that reproduce in a proper way
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31Lectures on Noncommutative Geometry
Acta Polytechnica, 2008 We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative differential forms we pass to K-theory, K-homology and cyclic (co)homology, and we finish with the notion of spectral triples and the spectral action.
A. Sitarz
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A Spectral-Geometric Formulation of Extended Uncertainty Principles in Quantum Mechanics
East European Journal of PhysicsThe Heisenberg uncertainty principle is foundational to quantum mechanics, yet its standard formulation is limited to Hilbert space operator commutators.
Balaji Padhy +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper develops the theory of function‐weighted probabilistic metric spaces (FWPMSs) and establishes the existence of common fixed points (CFPs) for commutative mappings within this framework. A key lemma is also introduced to bridge the connection between CFPs and common n‐tuples fixed points.
Ehsan Lotfali Ghasab +3 more
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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Noncommutative Projective Geometry
, 2001 This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of small dimension.
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Balanced Metrics and Noncommutative Kähler Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C^∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited ...
Sergio Lukic
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From Noncommutative Sphere to Nonrelativistic Spin
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory.
Alexei A. Deriglazov
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