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

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.

References in corpus (1)

• Vertex functions of Coulomb gauge Yang--Mills theory

Cited by in corpus (2)

• On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity
• The six blinds and the elephant or an interdisciplinary selection of measurement features