Red shifts of photons and massive particles

The existence of space background is proposed in Space Motion Theory. Here, the mechanism of red shifts is concluded into a formula: 1+z=(Ec/Ec’)(Eiqr/Eiqs), where z represents the value of a red shift; Ec/Ec’, named photonic red shift, signifies the ratio of Ec the energy of the photon before going through the distributions of the sender or the recipient to Ec’ the energy of the photon after going through that; Eiqr/Eiqs, named massive-particle red shift, means the absolute-energy quantity ratio of the recipient to the sender. Furthermore, according to energy conservation and momentum conservation, the mechanism of photonic red shifts is deduced. The analyses herein verify the existence of space background mathematically.