Conformal Invariance and Wave-Particle Duality
  We present a conformally invariant generalized form of the free particle action by connecting the wave and particle aspects through gravity. Conformal invariance breaking is introduced by choosing a particular configurat$ of dynamical variables. This leads to the geometrization of the quantum aspects of matter. 
Hossein Motavali, Hadi Salehi and Mehdi Golshani