Measuring higher-order interferences with a five-path interferometer

In this paper results of an improved version of an experiment was presented, which was proposed by Sorkin in 1994, and was experimentally implemented for the first time in 2010, with the goal of putting a bound on the potential magnitude of higher order interference terms. The work´s experiment expands this to five paths, which not only allows us to measure 3rd and 4th order interference terms but also allows testing for the possibility of quantum mechanical wavefunctions based on quaternions or octonions rather than complex numbers.