Kac–Moody exceptional E12 from simplictic tiling

M.S. El Naschie

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1569-1571

Abstract: We give various derivations for the order of a new non classical exceptional Lie group E12. We start from the simplest polyhedra of ordinary three dimensional space and arrive at the exact integer value ∣E12∣=685. Subsequently we show that a corresponding infinite dimensional but hierarchal KAC–Moody algebra called 4D fusion algebra leads to an exact transfinite dimension equal toDim E12=(5)(α¯o)=685.410197,where α¯o=137.082039325 is the E-infinity electromagnetic fine structure constant.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1569-1571

DOI: 10.1016/j.chaos.2008.06.020

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