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

Tozzi A, Peters JF.  2016.  Symmetries, Information and Monster Groups before and after the Big Bang. Information, 7(4), 73; doi:10.3390/info7040073

 

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.
 
 
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.