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 correspondence leads to open questions in both fields.
Domains
Differential Geometry [math.DG] General Mathematics [math.GM] Mathematical Physics [math-ph] Operator Algebras [math.OA] Spectral Theory [math.SP] Analysis of PDEs [math.AP] Metric Geometry [math.MG] Exactly Solvable and Integrable Systems [nlin.SI] Chaotic Dynamics [nlin.CD] Pattern Formation and Solitons [nlin.PS] Mathematical Physics [math-ph] Quantum Physics [quant-ph] Library and information sciences Business administration
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