The dark energy effect as manifestation of the signal propagation features in expanding Universe

TL;DR

This paper derives a kinematical model from conformal group transformations that explains the dark energy effect as a manifestation of signal propagation features in an expanding universe, aligning with observations.

Contribution

It introduces a new derivation of the luminosity distance-redshift relation from conformal symmetry, explaining accelerated expansion without additional parameters.

Findings

Derived explicit red-shift dependence for signal distance in expanding space.

Established a conformal group-based explanation for dark energy effects.

Results agree with observational data on universe acceleration.

Abstract

The formula describing the explicit red-shift dependence for the distance covered by a signal in the expanding space, and also the expressions for Hubble law have been derived directly from the conformal group transformations taking into account the light-cone equation. The obtained relations are associated with the luminosity distance represented as an explicit function of the red shift involving no other parameters but the scaling factor $c H^{-1}_0$. These relations represent in a pure kinematical way and in a complete agreement with observations, the revealed transition of the Metagalaxy to accelerated expansion (the dark energy effect).