An observer-based referential that is consistent with cosmological observations

Théophile Caby (1, 2)

1 Université des Antilles (Pôle Guadeloupe)
2 LAMIA - Laboratoire de Mathématiques Informatique et Applications [UR1_1]

We propose an alternative explanation for the redshift of cosmological objects. In this approach, the wavelength of a photon is affected by the spatial curvature integrated along its trajectory from the source to the observer. We explain this effect by postulating that all measurements are performed in an observer-based representation referential that has the geometrical properties of flat space, resulting in a distortion of lengths associated to distant objects. Applying these considerations in the Einstein's static universe, we obtain a redshift/distance relationship that is consistent with observations. We are also able to explain the existence and characteristics of the Cosmic Microwave Background.

Mots clés: observer; relativity; redshift; cosmology; Einstein universe; observer; observer

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Cosmologie et astrophysique extra-galactique [astro-ph.CO]

Théophile Caby. An observer-based referential that is consistent with cosmological observations. 2021. ⟨hal-02149955v3⟩