A Moonshine Dialogue in Mathematical Physics

Mathematics

Michel Planat¹ 

[1] Institut FEMTO-ST, CNRS, 15 B Avenue des Montboucons, F-25033 Besançon, France; E-Mail

关键词: moonshine concepts;    Monster group;    Grothendieck’s dessins d’enfants;    modular group;    quantum contextuality;    finite geometries;   

DOI  :  10.3390/math3030746

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.