International Journal of Theoretical Physics

, Volume 48, Issue 4, pp 1003–1018 | Cite as

The Archaic Universe: Big Bang, Cosmological Term and the Quantum Origin of Time in Projective Cosmology

  • Ignazio LicataEmail author
  • Leonardo Chiatti


This article proposes some cosmological reflections at the qualitative and conjectural level, suggested by the Fantappié-Arcidiacono projective relativity theory. The difference will firstly be discussed between two types of singularity in this theory: geometric (de Sitter horizon) and physical (big bang, big crunch). The reasons for the existence of geometric singularities are deeply rooted in the principle of inertia and in the principle of relativity, while physical singularities are associated with the creation or destruction of matter.

In this framework, quantum mechanics is introduced through a particular interpretation of Bohm’s holomovement. Finally, a possible mechanism is discussed for the genesis of the cosmological term. No form of inflation appears in the scenario described.


De Sitter cosmology Holomovement Imaginary time Cosmological constant Projective relativity 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

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

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