Results 81 to 90 of about 200,382 (172)

The notion of dimension in geometry and algebra [PDF]

open access: yesarXiv, 2005
This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
arxiv  

Quantum State Assignment Flows. [PDF]

open access: yesEntropy (Basel), 2023
Schwarz J   +5 more
europepmc   +1 more source

Thermodynamic Topology of AdS Black Holes within Non-Commutative Geometry and Barrow Entropy

open access: diamondNuclear Physics B
In this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy.
Aram Bahroz Brzo   +3 more
openalex   +3 more sources

A Note on Dirac Operators on the Quantum Punctured Disk

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode.
Slawomir Klimek, Matt McBride
doaj   +1 more source

Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model

open access: yesJournal of High Energy Physics
Using the framework of quantum Riemannian geometry, we show that gravity on the product of spacetime and a fuzzy sphere is equivalent under minimal assumptions to gravity on spacetime, an su 2-valued Yang-Mills field A μi and a real-symmetric-matrix ...
Chengcheng Liu, Shahn Majid
doaj   +1 more source

Spin quantum entanglement in non-commutative curved space-time. [PDF]

open access: yesIndian J Phys Proc Indian Assoc Cultiv Sci (2004), 2022
Mohadi A   +3 more
europepmc   +1 more source

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