2003/02/28 by J. A. Nieto, M. C. Marin, María Isabel Miranda Marin
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Geometry #Graphic matroid #Gravitation #Graviton #Mathematical physics #Mathematics #Matroid #Matroid partitioning #Noncommutative and Quantum Gravity Theories #Oriented matroid #Physics #Quantum mechanics #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #Weighted matroid #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0217751x0301591x
published as Int.J.Mod.Phys. A18 (2003) 5261-5276 · 21 pages, Latex; minor typos corrected
arxiv created 2003/04/04 · openalex publication_date 2003/11/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.