Inflation in the early Universe

In this talk it will be assumed that gravitation is negligible. Under this assumption, the receding velocities of galaxies and the distances between them in the Hubble expansion are united into a four-dimensional pseudo-Euclidean manifold, similarly to space and time in ordinary special relativity. The Hubble law is assumed and is written in an invariant way that enables one to derive a four-dimensional transformation which is similar to the Lorentz transformation. The parameter in the new transformation is the ratio between the cosmic time to the Hubble time (in which the cosmic time is measured backward with respect to the present time). Accordingly, the new transformation relates physical quantities at different cosmic times in the limit of weak or negligible gravitation. The transformation is then applied to the problem of the expansion of the Universe at the very early stage when gravity was negligible and thus the transformation is applicable. We calculate the ratio of the volumes of the Universe at two different times T-1 and T-2 after the Big Bang. Under the assumptions that T-2 - T-1 approximate to 10(-32) sec and T-2 much less than 1 sec, we find that V-2/V-1 = 10(-16)/root T-1. For T-1 approximate to 10(-132) sec we obtain V-2/V-1 approximate to 10(50). This result conforms with the standard inflationary universe theory, but now it is obtained without assuming that the Universe is propelled by antigravity.