English

A mathematical bridge between discretized gauge theories in quantum physics and approximate reasoning in pairwise comparisons

Mathematical Physics 2018-07-16 v1 Information Theory Differential Geometry math.IT Logic math.MP

Abstract

We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This correspondance leads to open questions in both field.

Keywords

Cite

@article{arxiv.1710.11080,
  title  = {A mathematical bridge between discretized gauge theories in quantum physics and approximate reasoning in pairwise comparisons},
  author = {Jean-Pierre Magnot},
  journal= {arXiv preprint arXiv:1710.11080},
  year   = {2018}
}