Discreteness of space from anisotropic spin–orbit interaction

Abstract Various approaches to Quantum Gravity suggest an existence of a minimal measurable length. The cost have such length could be modified uncertainty principle, dispersion relation, non-commutative geometry or breaking continuous Lorentz symmetry. In this paper, we propose that can obtained naturally through spin–orbit interaction. We consider Dresselhaus anisotropic interaction as the perturbative Hamiltonian. When applied particle, it implies space, which seizes should quantized in terms units depend on particle’s mass. This suggests all lengths space are depending existent mass and coupling constant. On one side, indicates breakdown continuum picture near scale tabletop experiments, other proposes is possible quantum gravity effect at low energy leads quantization.