Virginia TechMinic, DjordjeTze, C. H.2013-12-182013-12-182003-09-15Minic, D ; Tze, CH, SEP 15 2003. “Background independent quantum mechanics and gravity,” PHYSICAL REVIEW D 68(6): 061501. DOI: 10.1103/PhysRevD.68.0615010556-2821http://hdl.handle.net/10919/24759We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a quantum covariance of the state space. Specifically, we apply our scheme to the problem of a background independent formulation of matrix theory.en-USIn CopyrightspacegeometrysystemAstronomy & AstrophysicsPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevD.68.061501https://doi.org/10.1103/PhysRevD.68.061501