Galois bimodules and integrality of PI comodule algebras over invariants by Etingof, Pavel I

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One-loop corrections to the spectral action by Teun D. H. van Nuland, Walter D. van Suijlekom

“…Abstract We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. …”
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Lefschetz and Hirzebruch–Riemann–Roch formulas via noncommutative motives by Cisinski, Denis-Charles, Trigo Neri Tabuada, Goncalo Jorge

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A¹-homotopy invariants of corner skew Laurent polynomial algebras by Trigo Neri Tabuada, Goncalo Jorge

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Bost–Connes systems, categorification, quantum statistical mechanics, and Weil numbers by Marcolli, Matilde, Trigo Neri Tabuada, Goncalo Jorge

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Gauge Theories and non-Commutative Geometry: A review by Iliopoulos John

“…This is a very brief report on the attempts to introduce the concepts of noncommutative geometry in the theoretical description of the fundamental interactions. …”
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Matrix model and Yukawa couplings on the noncommutative torus by Masaki Honda

“…We propose a Dirac operator on the noncommutative torus, which is consistent with the IKKT model, based on noncommutative geometry. Next, we consider zero-mode equations of the Dirac operator with magnetic fluxes. …”
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Points. Lack thereof by Fedele Lizzi

“…I will discuss some aspects of the concept of “point” in quantum gravity, using mainly the tool of noncommutative geometry. I will argue that at Planck’s distances the very concept of point may lose its meaning. …”
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Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling by A. Bochniak, A. Sitarz, P. Zalecki

“…Abstract We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. …”
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Vacuum energy from noncommutative models by S. Mignemi, A. Samsarov

“…The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field theory. …”
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Vaidya spacetime for Galileon gravity's rainbow by Prabir Rudra, Mir Faizal, Ahmed Farag Ali

“…This will be done using the rainbow functions which are motivated from the results obtained in loop quantum gravity approach and noncommutative geometry. We will investigate the Gravitational collapse in this Galileon gravity's rainbow. …”
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Topological structures in string theory by Segal, G

“…I describe this structure, mention its relationship with noncommutative geometry, and explain how to use the B-field to define a twisted version of the K-theory of space-time. …”

The duality between two-index potentials and the non-linear sigma model in field theory by Zois, I, Ioannis Zois

“…Then using Polyakov's classical equivalence of flat bundles with non-linear sigma models we define a new topological invariant for foliations using techniques from noncommutative geometry, in particular the Connes' pairing between K-Theory and cyclic cohomology. …”

Compact generators in categories of matrix factorizations by Dyckerhoff, T

“…Finally, we give interpretations of the results of this work in terms of noncommutative geometry based on dg categories.…”

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature by Giuseppe Vitiello

“…At a quantum level, dissipation induces noncommutative geometry with the squeezing parameter playing a relevant role. …”
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Groundwater flow equation, overview, derivation, and solution by El Mezouary Lhoussaine, El Mansouri Bouabid

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Perturbing microscopic black holes inspired by noncommutativity by D. Batic, N. G. Kelkar, M. Nowakowski, K. Redway

“…For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. …”
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Higher-Dimensional Regular Reissner–Nordström Black Holes Associated with Linear Electrodynamics by Yu-Mei Wu, Yan-Gang Miao

“…Following the interpretation of matter source that the energy-momentum tensor of anisotropic fluid can be dealt with effectively as the energy-momentum tensor of perfect fluid plus linear (Maxwell) electromagnetic field, we obtain the regular higher-dimensional Reissner–Nordström (Tangherlini–RN) solution by starting with the noncommutative geometry-inspired Schwarzschild solution. Using the boundary conditions that connect the noncommutative Schwarzschild solution in the interior of the charged perfect fluid sphere to the Tangherlini–RN solution in the exterior of the sphere, we find that the interior structure can be reflected by an exterior parameter, the charge-to-mass ratio. …”
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Two-valenced association schemes and the Desargues theorem by Mitsugu Hirasaka, Kijung Kim, Ilia Ponomarenko

“…To this end, an analog of the Desargues theorem is introduced for a noncommutative geometry defined by the scheme in question. …”
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Noncommutative Schwarzschild geometry and generalized uncertainty principle by T. Kanazawa, G. Lambiase, G. Vilasi, A. Yoshioka

“…Abstract We discuss a possible link between the deformation parameter $$\Theta ^{\mu \nu }$$ Θμν arising in the framework of noncommutative geometry and the parameter $$\beta $$ β of the generalized uncertainty principle (GUP). …”
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