A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

Jean-Pierre Magnot (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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 correspondence leads to open questions in both fields.

Domaines: Géométrie différentielle [math.DG]; Mathématiques générales [math.GM]; Physique mathématique [math-ph]; Algèbres d'opérateurs [math.OA]; Théorie spectrale [math.SP]; Equations aux dérivées partielles [math.AP]; Géométrie métrique [math.MG]; Systèmes Solubles et Intégrables [nlin.SI]; Dynamique Chaotique [nlin.CD]; Formation de Structures et Solitons [nlin.PS]; Physique mathématique [math-ph]; Physique Quantique [quant-ph]; Sciences de l'information et de la communication; Gestion et management

Jean-Pierre Magnot. A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons. Advances in Mathematical Physics, 2018, 2018, pp.1 - 5. ⟨10.1155/2018/7496762⟩. ⟨hal-01831631⟩