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Mathematics 2015, 3(3), 746-757; doi:10.3390/math3030746

A Moonshine Dialogue in Mathematical Physics

Institut FEMTO-ST, CNRS, 15 B Avenue des Montboucons, F-25033 Besançon, France
Academic Editor: Palle E.T. Jorgensen
Received: 18 June 2015 / Revised: 29 July 2015 / Accepted: 30 July 2015 / Published: 14 August 2015
(This article belongs to the Special Issue Mathematical physics)
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Abstract

Phys and Math are two colleagues at the University of Saçenbon (Crefan Kingdom), dialoguing about the remarkable efficiency of mathematics for physics. They talk about the notches on the Ishango bone and the various uses of psi in maths and physics; they arrive at dessins d’enfants, moonshine concepts, Rademacher sums and their significance in the quantum world. You should not miss their eccentric proposal of relating Bell’s theorem to the Baby Monster group. Their hyperbolic polygons show a considerable singularity/cusp structure that our modern age of computers is able to capture. Henri Poincaré would have been happy to see it. View Full-Text
Keywords: moonshine concepts; Monster group; Grothendieck’s d’enfants; modular group; quantum contextuality; finite geometries moonshine concepts; Monster group; Grothendieck’s d’enfants; modular group; quantum contextuality; finite geometries
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Planat, M. A Moonshine Dialogue in Mathematical Physics. Mathematics 2015, 3, 746-757.

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