Nonassociative geometry: Towards discrete structure of spacetime

In the framework of nonassociative geometry a unified description of continuum and discrete spacetime is proposed. In our approach at the Planck scales the spacetime is described as a so-called diodular discrete structure which at large spacetime scales "looks like" a differentiable manifold. After a brief review of foundations of nonassociative geometry, we discuss the nonassociative smooth and discrete de Sitter spacetimes. ©2000 The American Physical Society.