Cumulative Interactions (to explain the existence of the particles emitted with the energy near kinematics limit)

The energy of the cosmic rays, recently measured with thousands of coincident detectors in different laboratories of the wodd, can reach unusual values like: tenth or hundreds of TeV. Since an human accelerator (or space, galactic one) was not imagined up to now to verify different hypothesis, we try to explain this accumulation of this enormous amount of energy in the one small particle by a possible cumulative interaction. This kind of interactions are also observed in the heavy ions nuclear reaction when light particles, protons, alphas, etc., are emitted with the energies near kinematics limit. The cumulative interaction seems to have an probabilistic character. In this contribution we try to understand the relation between the gravitational interaction and the cumulative interaction.