International Journal of Theoretical Physics

, Volume 49, Issue 10, pp 2379–2402 | Cite as

Archaic Universe and Cosmological Model: “Big-Bang” as Nucleation by Vacuum

  • I. LicataEmail author
  • L. Chiatti


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 \(\underline{x}_{0}\). 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.


Quantum De Sitter Universe Emergence of time Wick rotation Nucleation Cosmological Bekenstein relation Cosmological constant Projective General Relativity Equations 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institute for Scientific MethodologyPalermoItaly
  2. 2.AUSL VT Medical Physics LaboratoryViterboItaly

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