Noncommutative geometry is the first sound mathematical concept, which offers the consistent way of creating a geometry of quantum-like counterparts of spaces ...

13 нояб. 2012 г. · Connes's non-commutative geometry program includes an approach to the Standard Model that employs a non-commutative extension of Riemannian ...

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces ...

Noncommutative geometry is a very general mathematical paradigm arising from quantum mechanics. As such, it permeates different branches of mathematics and ...

This will give us the occasion to discuss, in the light of noncommutative geometry, the issue of “observables” in gravity and our joint work with Ali ...

26 мая 2023 г. · We give an overview of the applications of noncommutative geometry to physics. Our focus is entirely on the conceptual ideas, rather than on the underlying ...

1 мая 2015 г. · This is a compilation of some well known propositions of Alain Connes concerning the use of noncommutative geometry in mathematical physics.

9 авг. 2023 г. · The aim is to present physics as described in noncommutative geometry and to motivate noncommutative geometries in light of their relevance and ...

In mathematical physics, noncommutative quantum field theory is an application of noncommutative mathematics to the spacetime of quantum field theory that ...

This is based around the Dirac operator, the main aspect of metric geometry that survives in this non-commutative approach. Of course, the Dirac operator is ...