Another Mechanism which Can Prevent Infinite Collision Energy via Black Hole as Particle Accelerators

It has recently been pointed out that infinite center of mass energies for the colliding particles can be attained when the black hole is exactly extremal and only at infinite time and on the horizon of the black hole. In this letter, we show that it cannot occur when the spacetime noncommutative effect is considered, i.e. the quantum effect of gravity is an other preventing mechanism. Additionally, the bigger of the black hole’s mass is, the higher of center of mass energy that the particles obtain.