The provided document introduces a theoretical model called the Brahim operator framework, which identifies 53 distinct quantized states of the graviton. This research indicates that these gravitational configurations exist within a specific mathematical sector that results in repulsive gravitational coupling rather than attractive force. These states are characterized by a quantized geometric phase and exhibit coupling strengths that weaken according to a specific power-law decay. Situated at the extreme energy scales between GUT and Planck levels, these findings suggest that gravity is not a single particle but a spectrum of discrete modes. The author proposes that these results are empirically falsifiable, offering specific predictions for laboratory experiments to measure gravitational constants at precise phase angles. Ultimately, the framework presents a unique operator-algebraic alternative to traditional theories like string theory or loop quantum gravity.
Elias Oulad Brahim (Fri,) studied this question.