Conformal Invariance and Quantum Aspects of Matter

TL;DR

This paper explores how a non-conformally invariant gravitational model, specifically the Brans-Dicke theory, can be transformed to exhibit conformal symmetry, potentially enabling a geometric interpretation of quantum matter.

Contribution

It demonstrates that the Brans-Dicke theory can be conformally symmetrized, opening avenues for geometrizing quantum aspects of matter.

Findings

The theory can be conformally transformed to exhibit symmetry.

A particle interpretation emerges in the conformally symmetrized theory.

Quantum aspects of matter may be understood geometrically.

Abstract

The vacuum sector of the Brans-Dicke theory is studied from the viewpoint of a non-conformally invariant gravitational model. We show that, this theory can be conformally symmetrized using an appropriate conformal transformation. The resulting theory allows a particle interpretation, and suggests that the quantum aspects of matter may be geometrized.