Dimensional Reflection Gravity: A Bivector-Based Reformulation of Spacetime Curvature

This preprint presents an exploratory theoretical framework for gravitation based on a bivector self interaction defined on an auxiliary reflection manifold. The approach reformulates spacetime curvature as emerging from scalar contractions of an antisymmetric bivector field, yielding modified field equations that preserve the Newtonian limit under suitable symmetry assumptions. The framework is developed using differential geometry and variational methods, with explicit discussion of consistency conditions such as covariant conservation, dimensional normalization, and effective source interpretation. Phenomenological implications are explored, including possible geometric interpretations of dark matter like and dark energy like behavior, as well as formal algebraic constructions related to wormhole geometries. This work is intended as a preprint for feedback and discussion. It does not claim experimental verification or completeness and outlines several open problems and directions for future investigation.