31 citations · 46 across the 12 of their papers we have counts for
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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…
math-ph2023★ 1 cited
Quantum causality in -Minkowski and related constraints
Nicolas Franco, Kilian Hersent, Valentine Maris +1
We study quantum causal structures in -Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivatio…