The Poincaré group of relativistic physics can be perfected in a unique way by the Fantappié group. In this way we obtain a new group version of the Big-Bang Cosmology (Projective Cosmology), in which the velocity of light is not constant, and the expansion-collapse of the Universe is tied to a process of creation-anihilation of matter.
@article{urn:eudml:doc:39117, title = {L'universo di de Sitter, il gruppo di Fantappie e la cosmologia del Big-Bang.}, journal = {Collectanea Mathematica}, volume = {39}, year = {1988}, pages = {55-65}, mrnumber = {MR1009249}, language = {it}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39117} }
Arcidiacono, Giuseppe. L'universo di de Sitter, il gruppo di Fantappie e la cosmologia del Big-Bang.. Collectanea Mathematica, Tome 39 (1988) pp. 55-65. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39117/