Coincidence of the Universe Description Stemming from D-branes Theory and Enu Model

The contribution provides a comparison of consequences stemming from D-brane theories and Expansive Nondecelerative Universe model, and calls attention to coincidence of the results arising from the mentioned approaches to a description of the Universe. It follows from the comparison that the effects of quantum gravitation should appear at the energy near to 2 TeV. D-brane theories of the Universe [1] are founded on the principle declaring that there are more than 3 space dimensions, and that the introduction of any further extra dimension limits its range. For two extra dimensions the related range is close to 1 mm, when dealing with seven extra dimensions, the range drops to 10m. It follows from the mathematical treatment of the issue by the D-brane theoretical approaches that some changes in the Newtonian gravitational law should occur on a scale below 1 mm. It is supposed that in the region 10m which corresponds to the energy of about 1 TeV, the effects of quantum gravitation should appear. Due to the Vaidya metric application [2], the model of Expansive Nondecelerative Universe (ENU) [2-5] enables to localize and quantify the energy of the gravitational field. For weak field conditions it adopts the form εg = − R.c 8π.G = − 3m.c 4π.a.r (1) where εg is the density of gravitational field energy generated by a body with a mass m at a distance r, R is the scalar curvature and a is the gauge factor being at present a ∼= 1.3× 10m (2) It is worth mentioning that the magnitude of εg given by (1) is closed to the θ 0 component of the Einstein energy-momentum pseudotensor describing the