In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on ...

Noncommutative algebra, a field concerned with algebraic structures where the order of multiplication is significant, has evolved to address intricate problems both within pure mathematics and in ...

We give a definition of noncommutative finite-dimensional Euclidean spaces Rn . We then remind our definition of noncommutative products of Euclidean spaces RN1 and RN2 which produces noncommutative ...

Noncommutative Quantum Field Theory represents an ambitious extension of standard quantum field theory that incorporates a fundamental noncommutativity in the structure of spacetime. In these models, ...

To address these challenges, the team led by Prof. Hailu Luo at Hunan University proposed a method to achieve diverse quantum path entanglement based on the interaction between noncommutative ...

We study some consequences of noncommutativity to homogeneous cosmologies by introducing a deformation of the commutation relation between the minisuperspace variables. The investigation is carried ...

Network communications are expanding rapidly in many fields, including telecommunications, the Internet of Things, space, consumer electronics, and the military, with different privacy and security ...

While wormholes are as good a prediction of Einstein’s theory as black holes, they are subject to severe restrictions from quantum field theory. In particular, holding a wormhole open requires a ...

We plan to run the workshop in hybrid form with a considerable number of participants present in Münster and video transmission to the outside world. This workshop intends to be a first meeting point ...

To address these challenges, the team led by Prof. Hailu Luo at Hunan University proposed a method to achieve diverse quantum path entanglement based on the interaction between noncommutative ...