The $\Lambda$ and the CDM as integration constants

TL;DR

This paper proposes that the cosmological constant and cold dark matter naturally emerge as integration constants within a Lorentz gauge theory of gravity, suggesting the dark sector reflects spacetime geometry from symmetry breaking.

Contribution

It demonstrates that both the cosmological constant and cold dark matter can be derived as integration constants from Einstein's equations in a Lorentz gauge framework, offering a new perspective.

Findings

$\Lambda$ and CDM arise as integration constants.

Dark sector may reflect spacetime symmetry breaking.

Provides a first-principles derivation of Einstein's equations.

Abstract

Notoriously, the two main problems of the standard $\Lambda$CDM model of cosmology are the cosmological constant $\Lambda$ and the cold dark matter, CDM. This essay shows that both the $\Lambda$ and the CDM arise as integration constants in a careful derivation of Einstein's equations from first principles in a Lorentz gauge theory. The dark sector of the universe might only reflect the geometry of a spontaneous symmetry breaking that is necessary for the existence of a spacetime and an observer therein.