Search for a "Gravitoid" Theory

Abstract

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.

21 pages, Latex; minor typos corrected

References in corpus (5)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• M-Theory (the Theory Formerly Known as Strings)
• Matroid Theory and Chern-Simons
• Four Lectures on M-theory
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8

Cited by in corpus (6)

• Towards an Ashtekar formalism in eight dimensions
• Phirotopes, Super p-branes and Qubit Theory
• Soldered Bundle Background for the De Sitter Top
• Superfield Description of a Self-Dual Supergravity a la MacDowell-Mansouri
• Towards an Ashtekar Formalism in Twelve Dimensions
• Hamiltonian Noether theorem for gauge systems and two time physics