Universe Without Singularities. A Group Approach to De Sitter Cosmology

TL;DR

This paper introduces a group-theoretic approach to De Sitter cosmology, providing a new perspective on quantum universe evolution and the role of the cosmological constant, challenging traditional Big Bang models.

Contribution

It demonstrates that the De Sitter group generalizes the Poincare group, offering a formal justification for the cosmological constant and new insights into quantum cosmology boundary conditions.

Findings

De Sitter group extends Poincare group

Provides a formal basis for the cosmological constant

Suggests a new interpretation for Hartle-Hawking boundary conditions

Abstract

In the last years the traditional scenario of Big Bang has been deeply modified by the study of the quantum features of the Universe evolution, proposing again the problem of using local physical laws on cosmic scale, with particular regard to the cosmological constant role. The group extention method shows that the De Sitter group univocally generalizes the Poincare group, formally justifies the cosmological constant use and suggests a new interpretation for Hartle-Hawking boundary conditions in Quantum Cosmology.