English

Two roads to noncommutative causality

Operator Algebras 2015-09-02 v1 General Relativity and Quantum Cosmology

Abstract

We review the physical motivations and the mathematical results obtained so far in the isocone-based approach to noncommutative causality. We also give a briefer account of the alternative framework of Franco and Eckstein which is based on Lorentzian spectral triples. We compare the two theories on the simple example of the product geometry of the Minkowski plane by the finite noncommutative space with algebra M2(C)M_2({\mathbb C}).

Cite

@article{arxiv.1508.01917,
  title  = {Two roads to noncommutative causality},
  author = {Fabien Besnard},
  journal= {arXiv preprint arXiv:1508.01917},
  year   = {2015}
}

Comments

The title is a tribute to a well-known book about the search for quantum gravity

R2 v1 2026-06-22T10:29:09.206Z