Search for a "Gravitoid" Theory

Details Search for a "Gravitoid" Theory Search for a "Gravitoid" Theory

2003-02-25

arxiv.org/abs/hep-th/0302193v2

Int.J.Mod.Phys. A18 (2003) 5261-5276

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex; minor typos corrected

Scientific paper

10.1142/S0217751X0301591X

By combining the concepts of graviton and matroid, we outline a new gravitational theory which we call gravitoid theory. The idea of this theory emerged as an attempt to link the mathematical structure of matroid theory with M-theory. Our observations are essentially based on the formulation of matroid bundle due to MacPherson and Anderson-Davis. Also, by considering the oriented matroid theory, we add new observations about the link between the Fano matroid and D=11 supergravity which was discussed in some of our recent papers. In particular we find a connection between the affine matroid AG(3,2) and the $G_ {2}-$symmetry of D=11 supergravity.

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