Is the Majorana bound state a gravitationally neutral system?

Abstract

An argument is provided that confronts the strong equivalence principle (SEP) of general relativity with the superposition principle (SP) of quantum mechanics. The result has implications on the possibility of synthesizing Majorana bound states in 1D systems or the possible violation of the strong equivalence principle by quantum effects. The argument is formulated by inducing a very special fine tuning of coupling constants in the Kitaev Hamiltonian representing 1D topological superconductors.