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Information 2016, 7(4), 73; doi:10.3390/info7040073

Symmetries, Information and Monster Groups before and after the Big Bang

1
Center for Nonlinear Science, University of North Texas, Denton, TX 76203, USA
2
Department of Electrical and Computer Engineering, University of Manitoba, 75A Chancellor’s Circle, Winnipeg, MB R3T 5V6, Canada
3
Mathematics Department, Adıyaman University, 02040 Adıyaman, Turkey
*
Author to whom correspondence should be addressed.
Academic Editors: Pedro C. Marijuán, Abir (Andrei) U. Igamberdiev and Lin Bi
Received: 5 October 2016 / Revised: 6 December 2016 / Accepted: 14 December 2016 / Published: 21 December 2016
(This article belongs to the Special Issue Symmetry and Information)
View Full-Text   |   Download PDF [1572 KB, uploaded 21 December 2016]   |  

Abstract

The Monster group, the biggest of the sporadic groups, is equipped with the highest known number of dimensions and symmetries. Taking into account variants of the Borsuk–Ulam theorem and a novel topological approach cast in a physical fashion that has the potential to be operationalized, the universe can be conceived as a lower-dimensional manifold encompassed in the Monster group. Our universe might arise from spontaneous dimension decrease and symmetry breaking that occur inside the very structure of the Monster Module. We elucidate how the energetic loss caused by projection from higher to lower dimensions and by the Monster group’s non-abelian features is correlated with the present-day asymmetry in the thermodynamic arrow. By linking the Monster Module to its theoretical physical counterparts, it is then possible to calculate its enthalpy and Lie group trajectories. Our approach also reveals how a symmetry break might lead to a universe based on multi-dimensional string theories and CFT/AdS (anti-de Sitter/conformal field theory) correspondence. View Full-Text
Keywords: topology; entropy; energy; sporadic groups; universe topology; entropy; energy; sporadic groups; universe
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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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Tozzi, A.; Peters, J.F. Symmetries, Information and Monster Groups before and after the Big Bang. Information 2016, 7, 73.

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