Among the different models of representation of the universe, the Friedmann positive curvature model often comes up. It is a model using the universal, harmonious and simple shape of the sphere, therefore a closed but unlimited universe, uniform in all its directions. The figure on the right is a simplified representation. However, to properly contain the universe, this shape must have one dimension more than the conventional sphere of our 3D world (called 2-sphere in mathematics). It is therefore a 3-sphere, which takes one dimension more than the 2-sphere: its surface becomes a hyper-surface, therefore a volume and the volume it occupies becomes a space with 4 Euclideandimensions. Thus, in this model, the universe resides in the hypersurface of the 3-sphere and requires 4D space to unfold.We also know that the universe is essentially made up of vacuum at an extremely low average density of around 1 atom/m³. In this context, the legitimate question that can be asked is how the universe, being so empty, can ensure its cohesion in the even emptier 4D space which surrounds it both inside and outside of its hyper-surface. The present article responds to this by hypothesizing a solid and perfectly elastic hyper-membrane which occupies the entire hyper-surface of the 3-sphere and which thus serves as a support structure for the universe. Once well characterized, this hypermembrane, named here Θ-Brane, can then serve as a support for the universe itself but also as a support for the propagation of its waves, for the movement of its matter without drag effect, and finally support its various energy fields and all this, without contradiction with the two postulates of Special Relativity.Furthermore, the presence of this hyper-membrane makes it possible to provide explanations for matter-antimatter asymmetry, the exclusive helicity of neutrinos-antineutrinos, gravitation based on quantum fluctuations of the vacuum and more.