Conformal General Relativity -- Unified Theory of the Standard Models of Elementary Particles and Modern Cosmology

TL;DR

This paper proposes a unified theoretical framework called Conformal General Relativity that aims to integrate the Standard Models of Elementary Particles and Modern Cosmology by breaking conformal symmetry.

Contribution

It introduces a novel fundamental principle based on spontaneous conformal symmetry breaking to unify gravity with particle physics and cosmology.

Findings

Provides a new approach to include gravitation in the Standard Model.

Addresses divergences in quantum field theories.

Offers insights into the origin of the universe.

Abstract

This work may be defined as a modern philosophical approach to theoretical physics. Since ancient times science and philosophy evolved in parallel, thus renewing from time to time the epochal paradigms of human thought. We could not understand how the scientists of the past could have achieved so many goals, if we neglect the philosophical ideas that inspired their minds. Today, despite the spectacular successes of the Standard Models of Elementary Particles (SMEP) and Modern Cosmology (SMMC), theoretical physics seems to be run into a mess of contradictions that preclude the access to higher views. We are still unable to explain why it is so difficult to include gravitation into the SMEP, although General Relativity (GR) works so well in the SMMC, why it is so difficult to get rid of all the divergences of the SMEP, and "why there is something rather than nothing". This paper aims to answer these and other questions by starting from a novel fundamental principle: the spontaneous breaking of conformal symmetry down to the metric symmetry of GR. This statement is very simple but its implementation is a little bit complicated. To facilitate the reading, the paper is divided in a main sequence of sections and subsections and a collection of Appendices. The first acting as a sort of Ariadne's wire for guiding the reader through the labyrinth of specialized topics that are necessary to understand the work.