Showing math-phShow all
2 papers · 1 filter
math-ph2024
Field Theories on Quantum Space-Times: Towards the Phenomenology of Quantum Gravity
Kilian Hersent
Noncommutative geometry is a mathematical framework that expresses the structure of space-time in terms of operator algebras. By using the tools of quantum mechanics to describe th…
math-ph2023
-Minkowski as tangent space I: quantum partition of unity
Kilian Hersent, Jean-Christophe Wallet
We define a quantum (noncommutative) analogue of locally trivial tangent bundle based on two main elements: the definition of local algebras through quotients of ideals of the glob…