An attempt is presented to explain the red shift in terms of a theory based on two postulates: (1) perfect cosmological principle, and (2) postulate of the uniqueness of electromagnetic wavelength measurements.
It is assumed that the space of events is a static space, and the red shift is a consequence of the geometry of that space. In terms of the accepted postulates a theorem has been proved, according to which the luminosity distanceD is related to the red shift
D = cT\fracDl/l0 1 + Dl/l0 ,D = cT\frac{{\Delta \lambda /\lambda _0 }}{{1 + \Delta \lambda /\lambda _0 }},
where
c is the light velocity, and
T, the Hubble constant.
It is shown that this relation is in agreement with astronomical data concerning the red shift and the distribution of galaxies. The hypothesis does not lead to the necessity of accepting any assumptions concerning the creation of matter at the origin of time or a continuous creation of matter, which have been postulated by certain other theories.