Results 61 to 70 of about 8,486 (147)

Dynamical Evolution in Noncommutative Discrete Phase Space and the Derivation of Classical Kinetic Equations

open access: yes, 1999
By considering a lattice model of extended phase space, and using techniques of noncommutative differential geometry, we are led to: (a) the conception of vector fields as generators of motion and transition probability distributions on the lattice; (b ...
A Dimakis   +40 more
core   +2 more sources

Convex Portrait in a Self‐Mirror: Social Dissonance and Social Synthesis

open access: yesFuture Humanities, Volume 3, Issue 1, May 2025.
ABSTRACT Social dissonance is both a form of practice, an effect of that practice‐ the furthering of the already present socially dissonant effect/affect‐, and a specific score, proposing possible kinds of action to an audience to bring about the consciousness of their own unfreedom‐ or, more radically, the consciousness of their unconsciousness.
Jean‐Pierre Caron
wiley   +1 more source

A general recipe to observe non‐Abelian gauge field in metamaterials

open access: yesNanophotonics, Volume 14, Issue 8, Page 1135-1143, April 2025.
Abstract Recent research on non‐Abelian phenomena has cast a new perspective on controlling light. In this work, we provide a simple and general approach to induce non‐Abelian gauge field to tremble the light beam trajectory. With in‐plane duality symmetry relaxed, our theoretical analysis finds that non‐Abelian electric field can be synthesized ...
Bingbing Liu, Tao Xu, Zhi Hong Hang
wiley   +1 more source

The Architecture of the Riemann Hypothesis: Thermal Dynamics, Noncommutative Geometry, and Integrable Systems

open access: yes
This paper provides a unified view of three major contemporary approaches to the Riemann Hypothesis (RH): the thermal evolution of De Bruijn–Newman, the integrable dynamics of the Toda lattice, and Connes' noncommutative geometry. We show how the RH translates into positivity of the Hankel determinants associated with the Xi function and how this
  +8 more sources

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

open access: yesComplexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi   +6 more
wiley   +1 more source

Compositional Sequence Generation in the Entorhinal-Hippocampal System. [PDF]

open access: yesEntropy (Basel), 2022
McNamee DC   +3 more
europepmc   +1 more source

Kähler structure on certain $C^*$-dynamical systems and the noncommutative even dimensional tori

open access: yes, 2017
Let $G$ be an even dimensional, connected, abelian Lie group and $(\mathcal{A}^\infty,G,α,τ)$ be a $C^*$-dynamical system equipped with a faithful $G$-invariant trace $τ$. We show that whenever it determines a $\varTheta$-summable even spectral triple, $\mathcal{A}^\infty$ inherits a Kähler structure. Moreover, there are at least $\prod_{j=1,\,j\,odd}^{
openaire   +2 more sources

Missing the point in noncommutative geometry. [PDF]

open access: yesSynthese, 2021
Huggett N, Lizzi F, Menon T.
europepmc   +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

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