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

TL;DR

This paper explores a projective relativity framework to distinguish between geometric and physical singularities, introduces quantum mechanics via Bohm's interpretation, and discusses the origin of the cosmological term without inflation.

Contribution

It offers a novel perspective on cosmological singularities, integrating quantum mechanics and proposing a new mechanism for the cosmological term's origin within projective relativity.

Findings

Differentiation between geometric and physical singularities.

Quantum mechanics incorporated through Bohm's holomovement.

Proposed mechanism for the genesis of the cosmological term.

Abstract

This article proposes some cosmological reflections at the qualitative and conjectural level, suggested by the Fantappie & 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 holomovement. Finally, a possible mechanism is discussed for the genesis of the cosmological term. No form of inflation appears in the scenario described.