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Abstract: We extend the bimetric description of the Universe to a five-dimensionalframework. Starting from Souriau-s work 1964 we use two Robertson-Walkermetrics with an extra term corresponding to the additional Kaluza fifthdimension. This first order model is limited to zero electric charge andelectromagnetic energy densities. Assuming the massive particles, with positiveor negative mass and energies owing finite lifetimes, it restores the O3symmetry and makes the generalized gauge process to restart. As a consequencethe speed of light tends to zero. We assume the Universe to be closed over allits dimensions. Then, following an idea introduced in 1994 we describe theUniverse as the two folds cover of a projective space. The arrow of time, massand energy inversions arise as consequences of this geometrical hypothesis andfits the bimetric model. We choose to eliminate the -initial singularity-,replaced by a boundary space, which is found to be euclidean.



Author: Jean Pierre Petit, Gilles d'Agostini

Source: https://arxiv.org/







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