Algebraic Unification of Gravity and Gauge Interactions via Imaginary Dimension Operators

This paper presents a novel framework unifying gravitational and gauge interactions through algebraic decomposition of a unified tensor.The symmetric sector encodes spacetime curvature via a square-root extension of the Ricci tensor, while the antisymmetric sector incorporates Standard Model fields using orthogonal imaginary units. Thetheory reproduces Einstein’s equations with a cosmological constant and demonstrates automatic separation of gauge interactions. Key results include a unified Lagrangian and emergent Einstein-Maxwelldynamics.