Mathematics – Logic
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ijtp...49.2379l&link_type=abstract
International Journal of Theoretical Physics, Volume 49, Issue 10, pp.2379-2402
Mathematics
Logic
2
Quantum De Sitter Universe, Emergence Of Time, Wick Rotation, Nucleation, Cosmological Bekenstein Relation, Cosmological Constant, Projective General Relativity Equations
Scientific paper
In this work, we examine in depth the physical aspects of the archaic universe described by Euclidean 5-sphere geometry, by using Projective Relativity techniques. We hypothesize that the expansion of the Universe was “ignited” by primordial R processes, and that the big bang consisted of a spatially extended nucleation process which took place at the end of a pre-cosmic phase, characterized by the evolution parameter x0. This parameter, which can be considered a quantum precursor of ordinary physical time, is a coordinate of Euclidean 5-sphere metrics. It is so possible to avoid many of the difficulties with standard model and to get rid of ad hoc assumptions. A complete solution to Projective General Relativity (PGR) equations is provided, so as to establish univocal relations between the scale factor R( τ) and cosmic time τ. In this way, the physics and geometry of the cosmological model are specified completely.
Chiatti Leonardo
Licata Ignazio
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