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Spinorial space-time and Friedmann-like equations (I)
ABSTRACT. The use of a spinorial space-time naturally leads to unconventional properties for the space curvature term in Friedmann-like equations. It therefore suggests a major modi cation of the Standard Cosmology based on general relativity. In the new Cosmology thus introduced, the contribution of the space curvature to the value of H2 (H = Lundmark Lemaitre Hubble, LLH, constant) is positive de nite independently of the apparent sign of this curvature, and has a much larger value than the standard curvature term. Then, a cosmological constant is no longer needed. The spinorial space-time also generates a privileged space direction compatible with WMAP and Planck data. Taking into account the naturally dominant role of the new curvature term, it is tempting to conjecture that the product H t (t = cosmic time = age of the Universe) tends asymptotically to 1 in the long-term evolution of our Universe up to possible small corrections. We remind here our previous work on the subject and further discuss some cosmological implications of the spinorial space-time including space curvature.