Description
In Non-Minimally Coupled Weyl Connection Gravity the spacetime geometry is not fully determined by the metric alone, but also involves the Weyl connection characterized by an independent non-metricity vector. As a result, the gravitational sector is enriched by a dynamical vector field, which contributes to the field equations and modifies the curvature terms. This model also introduces an additional force term, due to non-minimally coupling, that can mimic both dark matter and dark energy effects, while it still preserves Wey's original motivation to unify gravity and electromagnetism.