Results 141 to 150 of about 1,110,578 (250)

Intersecting Quantum Gravity with Noncommutative Geometry - a Review

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored.
Johannes Aastrup   +1 more
doaj   +1 more source

On the geometry of noncommutative spectral theory [PDF]

open access: diamond, 1975
Erik M. Alfsen, Frederic W. Shultz
openalex   +1 more source

A noncommutative combinatorial protein logic circuit controls cell orientation in nanoenvironments. [PDF]

open access: yesSci Adv, 2023
Chen J   +4 more
europepmc   +1 more source

Noncommutative Algebra and Noncommutative Geometry

open access: yes, 2014
Divided into three parts, the first marks out enormous geometric issues with the notion of quasi-freenss of an algebra and seeks to replace this notion of formal smoothness with an approximation by means of a minimal unital commutative algebra's smoothness. The second part of this text is then, devoted to the approximating of properties of nc.
openaire   +2 more sources

Non-Commutative Geometry [PDF]

open access: yes, 1988
For purely mathematical reasons it is necessary to consider spaces which cannot be represented as point set sand where the coordinates describing the space do not commute.In other words,spaces which are described by algebras of coordinates which arenot commutative.If you conside rsuch spaces,then it is necessary to rethink most of the notions of ...
openaire   +1 more source

Measure Theory in Noncommutative Spaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties.
Steven Lord, Fedor Sukochev
doaj   +1 more source

Minimal non-abelian nodal braiding in ideal metamaterials. [PDF]

open access: yesNat Commun, 2023
Qiu H   +5 more
europepmc   +1 more source

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