From gauging nonrelativistic translations to \(N\)-body dynamics (Q5931234)

One of the challenges in modern physics is the continuum of particles: All the efforts made until now in order to solve this problem in the framework of extragravitational physics were unsuccessful. In this paper, the author known as specialists in general relativity, generalize to many dimensions the results obtained in a monodimensional model by one of them (P. C. Stichel) and succeed to build a nonlinear Hamiltonian for a two-body interaction which leads after quantization to a Schrödinger equation with energy dependent fractional momentum eigenvalues.NEWLINENEWLINENEWLINEThe bound states with discrete energy levels correspond to a confined classical motion (for distance between two particles \(r\leq r_0\)) and states that correspond to the classical motion for \(r> r_0\).NEWLINENEWLINENEWLINEThe fields built by the authors can be identified with the torsion tensors of teleparallel formulation of general relativity theory.