On the Observation of Distant Objects in General Relativity and Its Implications in Cosmology

We carry out a careful analysis of the notion of observation of distant events in a curved Universe. This leads us to hypothesise that all measurements of our physical environment are performed with respect to a representation referential that obeys the rules of Euclidean geometry. In curved spacetime geometries, this creates a distortion of metric quantities which affects the wavelength of photons incoming from distant sources. We show that, at the scale of our galaxy, this effect is too small to be experimentally detected. At a cosmological scale, however, and in the context of the Einstein Universe, we show that it becomes measurable and offers a simple alternative explanation for most modern cosmological observations. In particular, we predict a redshift which increases as a function of the source’s distance, in a way that is consistent with Supernovae data, and the existence of a Cosmic Microwave Background whose characteristics align with the ones measured by the Planck mission. Furthermore, it accounts for the presence of well-formed galactic structures in the high-redshift Universe, as recently detected by the James Webb Space Telescope.

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Journal
Universe
Published
2025-11-21
DOI
https://doi.org/10.3390/universe11120384
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00

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article

On the Observation of Distant Objects in General Relativity and Its Implications in Cosmology

Théophile Caby
Universe
Cosmology and Gravitation Theories
article

On the Observation of Distant Objects in General Relativity and Its Implications in Cosmology

Théophile Caby
article en

Abstract

We carry out a careful analysis of the notion of observation of distant events in a curved Universe. This leads us to hypothesise that all measurements of our physical environment are performed with respect to a representation referential that obeys the rules of Euclidean geometry. In curved spacetime geometries, this creates a distortion of metric quantities which affects the wavelength of photons incoming from distant sources. We show that, at the scale of our galaxy, this effect is too small to be experimentally detected. At a cosmological scale, however, and in the context of the Einstein Universe, we show that it becomes measurable and offers a simple alternative explanation for most modern cosmological observations. In particular, we predict a redshift which increases as a function of the source’s distance, in a way that is consistent with Supernovae data, and the existence of a Cosmic Microwave Background whose characteristics align with the ones measured by the Planck mission. Furthermore, it accounts for the presence of well-formed galactic structures in the high-redshift Universe, as recently detected by the James Webb Space Telescope.

UniverseVol. 11(12)
Université de Bretagne Occidentale (FR), Laboratory for Ocean Physics and Satellite Remote Sensing (FR), Institut Universitaire Européen de la Mer (FR)
ISblue, Agence Nationale de la Recherche
Openalex Percentile: Top 75%
Cosmology and Gravitation Theories
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On the Observation of Distant Objects in General Relativity and Its Implications in Cosmology — Théophile Caby · Universe (2025) | TGRS Research Map | TGRS