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Résumé:

I show here that due to the fact that time has a logarithmic increase as a function of the radius of curvature of our threedimensional universe, the rate of expansion of the universe is accelerating. The instantaneous pressure within this universe is negative (as predicted by the litera- ture) because black holes lead to a leak of matter and light from our universe. Though, the total energy of the universe is increasing. The transition from a still fourdimensional universe with no physical laws to our threedimensional curved universe is due to Heisenberg's uncertainty principle.

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