1. Introduction

The reconciliation of general relativity and quantum mechanics represents one of the most profound open problems in theoretical physics. As established in Penrose 4 , the two frameworks operate under fundamentally incompatible mathematical assumptions, yet both achieve extraordinary predictive accuracy in their respective domains.

The mass-energy equivalence relation

E = m c 2

serves as the cornerstone of our unified treatment. The quantization procedure must respect this equivalence under all reference frame transformations.

Penrose, R. (2004). The Road to Reality. Jonathan Cape.