 Mechanical equations to describe hypothetical exotic matter which possesses a negative mass, negative momentum, negative pressure, and negative kinetic energy are

Considering formula_7 and formula_8, the energy-momentum relation of the particle is corresponding to the following dispersion relation

of a wave that can propagate in the negative-index metamaterial.The pressure of radiation pressure in the metamaterial is negative and negative refraction, inverse Doppler effect and reverse Cherenkov effect imply that the momentum is also negative.So the wave in a negative-index metamaterial can be applied to test the theory of exotic matter and negative mass.