THE MONSTROUS MOONSHINE CONJECTURE EXPLAINED

Arturo Tozzi

Center for Nonlinear Science, University of North Texas

1155 Union Circle, #311427

Denton, TX 76203-5017 USA

tozziarturo@libero.it

 

James F. Peters

Department of Electrical and Computer Engineering, University of Manitoba

75A Chancellor’s Circle

Winnipeg, MB R3T 5V6 Canada and

Mathematics Department, Adıyaman University 02040 Adıyaman, Turkey

james.peters3@umanitoba.ca

 

Sheela Ramanna

Department of Applied Computer Science, University of Winnipeg

Winnipeg, Manitoba R3B 2E9, Canada

s.ramanna@uwinnipeg.ca

 

 

DOI: 10.13140/RG.2.1.3138.3928

 

Monstrous Moonshine refers to the unexpected correlation between two apparently incommensurable mathematical entities, e.g., the j-function and the dimensions of the Monster Module.  In order to elucidate the relationships between modular meroporphic functions and group theory, we embedded physical coordinates into the upper half plane of the complex numbers, e.g., the Argand diagram of the j-function and Riemannian surfaces of genus O.   We achieved values compatible with the hypothesis of a flat Universe subtended by the Monster Module.  We provide evidence that the Monstrous Moonshine conjecture might display a quantifiable physical counterpart, e.g., the spatial curvature index, and discuss the implications in cosmology.

 

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