Conformal Invariance and Wave-Particle Duality
Hossein Motavali, Hadi Salehi, Mehdi Golshani
TL;DR
This paper introduces a conformally invariant framework linking wave and particle duality via gravity, and explores how breaking conformal invariance geometrizes quantum matter.
Contribution
It proposes a new conformally invariant action connecting wave-particle duality and gravity, providing a geometric interpretation of quantum aspects of matter.
Findings
Conformal invariance connects wave and particle descriptions.
Breaking conformal invariance geometrizes quantum matter.
Provides a unified geometric framework for quantum phenomena.
Abstract
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.
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