Ising Matter as Bulky: An Identity Described by Many Models

2020/09/25 by Martin H. Krieger, Krieger, Martin H.
Physics and Astronomy · Economics, Econometrics and Finance · #Opinion Dynamics and Social Influence #Complex Systems and Time Series Analysis

paper · pdf · doi:10.48550/arxiv.2009.12017

Abstract

The two-dimensional Ising model of a ferromagnet allows for many ways of computing its partition function and other properties. Each way reveals surprising features of what we might call Ising Matter. Moreover, the various ways would appear to analogize with the mathematical threefold analogy of analysis, algebra, and arithmetic, due to R. Dedekind and H. Weber, 1882, and more recently described by A. Weil.

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