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    <subfield code="a">The advent of modern satellite technology has transformed observational astronomy and 
astrophysics, offering unprecedented insights into the large-scale behavior of gravitation and 
challenging established cosmological models. This technological progress has reinvigorated 
the study of relativistic cosmology, leading to a critical reassessment of foundational 
assumptions, particularly the cosmological principle, which posits that the universe is 
homogeneous and isotropic on large scales. While this principle underpins the Standard 
Cosmological Model (SCM) and the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric, 
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models. The integration of both parametric and nonparametric redshift models provides a 
more comprehensive analysis, addressing discrepancies in our understanding of the universe's 
structure and evolution. However, unresolved mysteries, particularly concerning dark matter 
and dark energy, complicate these models. This research critically examines the cosmological 
principle using the latest observational data and scrutinizes the Friedmann model's 
assumptions. The study reveals that galaxy formation occurred most rapidly in the early 
universe, particularly within the redshift range of 0 &lt; 𝑧 &lt; 0.4, peaking around 𝑧 &#x2248; 0.8. It also 
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process. While dark energy primarily affects the large-scale expansion of the universe, dark 
matter seems to dominate local galaxy formation and the evolution of cosmic structures. These 
findings underscore the limitations of current models and contribute to the ongoing refinement 
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